KVS TGT Science Official Paper Held On : 12 Feb 2023 Shift 2 (Previous Year Paper)

The correct answer is: Loyalty.

Key Points

• The word "Fidelity" means faithfulness to a person, cause, or belief, demonstrated by loyalty and support. (निष्ठा)
• Example: His fidelity to his friends and family was unwavering, even during tough times.
• "Loyalty" refers to a strong feeling of support or allegiance to someone or something. (वफादारी)
• Example: Her loyalty to her country inspired her to join the armed forces.
• Hence, "Loyalty" is similar in meaning to "Fidelity."

Therefore, the correct answer is: Loyalty.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Fame (प्रसिद्धि): The state of being known or recognized by many people.
• Example: The actor achieved fame after his blockbuster movie became a global hit.
• Affection (स्नेह): A gentle feeling of fondness or liking.
• Example: She showed great affection for her younger siblings by caring for them.
• Joy (आनंद): A feeling of great happiness.
• Example: The children felt immense joy during the festival celebrations.

The correct answer is: Option 4 i.e., Imminent.

Key Points

• The word "Impending" means something that is about to happen or likely to occur soon. (आसन्न, शीघ्र होने वाला)
• Example: The dark clouds indicated an impending storm.
• "Imminent" is a synonym of "Impending" and also means something that is about to happen. (आसन्न)
• Example: The arrival of the train is imminent as it has just been announced over the speaker.
• Hence, the word "Imminent" closely matches the meaning of the given word "Impending".

Therefore, the correct answer is: Imminent.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Incidental (संयोगवश होने वाला): Happening as a minor accompaniment to something else or by chance.
• Example: The incidental music added charm to the play.
• Interesting (रोमांचक): Arousing curiosity or holding attention.
• Example: The book she recommended turned out to be very interesting.
• Serious (गंभीर): Demanding careful consideration or thought; not joking or playful.
• Example: The doctor gave him a serious look before explaining the diagnosis.

The correct answer is Option 3.

 

Key Points

• In the sentence, "walking" is used to describe the noun "stick."
• Words that describe or modify nouns are known as adjectives.
• Therefore, the word "walking" is functioning as an adjective in this context.

Therefore, the correct answer is Option 3.

 

Additional Information

• Walking (adjective): A word used to describe the noun "stick" and indicate what kind of stick it is.
• Stick (noun): The main object that is being described by the adjective "walking."

The correct answer is Option 1.

 

Key Points

• Passive voice structure: The object of the active voice becomes the subject in the passive voice sentence.
• Active voice: "He gave me a beautiful book." (Subject + Verb + Indirect Object + Direct Object)
• In passive voice, either the direct or indirect object can become the subject depending on emphasis.
• Option 1: "A beautiful book was given to me by him." correctly converts the direct object into the subject.
• The tense "gave" (simple past) changes to "was given" in passive form.

Therefore, the correct answer is Option 1.

 

Correct Sentence: "A beautiful book was given to me by him."

 

Additional Information

• Option 2: "A beautiful book was given to me." – Correct grammatically but lacks the agent "by him."
• Option 3: "I was given a beautiful book." – Also correct but changes the focus to the indirect object "I."
• Option 4: "I have been given a beautiful book." – Incorrect tense; "have been given" is present perfect, not past simple.

The correct answer is Option 3.

 

Key Points

• Direct Speech: He said to me, "Will you please help me?"
• Reporting Verb Change: 'said to' becomes 'requested' when making polite requests.
• Question Transformation: Interrogative sentence with "will you please" is treated as a polite request in indirect speech.
• Tense Change: 'Will' changes to 'would' in indirect speech (as per sequence of tense rule).
• Pronoun Change: 'you' becomes 'I' and 'me' becomes 'him' depending on the context.

Therefore, the correct answer is Option 3.

 

Correct Sentence: He requested me if I would help him.

 

Additional Information

• Option 1: Incorrect — "will" should change to "would" as per reported speech rules.
• Option 2: Incorrect — Polite request should use "requested" not "asked", and "please" is unnecessary in indirect form.
• Option 4: Incorrect — Contains wrong pronoun usage "me" instead of "him" and "shall" instead of "would".

The correct answer is Option (2) i.e., BEDCA

 

Key Points

• The sentence begins with “her mother” (B) which introduces the subject clearly.
• Next comes “gave birth” (E) which completes the action done by the subject.
• Then comes “to another” (D), showing the direction or object of the action.
• Following that is “child,” (C) which is the object being referred to.
• Lastly, “her second one” (A) acts as an appositive, adding detail about the child.

Therefore, the correct answer is BEDCA.

 

Additional Information

• Option 1 (ACBDE): This starts with “her second one,” making the subject unclear and confusing the sentence’s structure.
• Option 3 (CEBDA): Starting with “child,” lacks a proper subject performing the action initially, making the sentence ambiguous.
• Option 4 (DACEB): Begins with a preposition “to another,” which is grammatically incorrect as a sentence starter here.

The correct answer is Option 3.

 

Key Points

• The verb tense used in part c) "he has" is incorrect in the context of reported speech.
• "Ram told me" is in the past tense, so the verb in the reported clause should also follow the rules of backshifting.
• According to the rules of reported speech, "has lost" should change to "had lost".
• Therefore, the error lies in part c due to incorrect verb tense.

Therefore, the correct answer is c.

 

Correct Sentence: "Ram told me that he had lost his book."

 

Additional Information

• a) "Ram told" – This is grammatically correct and sets up a reported speech sentence.
• b) "me that" – Correct structure used for reported speech.
• d) "lost his book" – No error in this phrase once the verb tense is corrected.
• In reported speech, present perfect ("has lost") becomes past perfect ("had lost").

The correct answer is 'go back on'.

 

Key Points

• The phrase "go back on" means to break a promise or fail to fulfil a commitment, which fits the context of the sentence.
• The sentence implies that the subject will not break his word, hence "go back on" is the correct phrase.
• Options 1, 3, and 4 do not fit the context of the sentence and are incorrect.

Therefore, the correct answer is Option 2.

 

Complete Sentence: "You should be sure that he won't go back on his word."

 

Additional Information

• Option 1: "put up with" is incorrect because it means to tolerate or endure something unpleasant, which does not fit the context.
• Option 3: "put out of" is incorrect because it does not make sense in the given context.
• Option 4: "run away with" is incorrect because it means to elope or take something and flee, which is irrelevant here.

The correct answer is 'up'.

 

Key Points

• The phrasal verb "kick up" is commonly used to describe causing a commotion or starting trouble.
• In the given sentence, "kicked up a row over nothing" means that Lata caused a disturbance or argument without any substantial reason.
• Options 2, 3, and 4 are not correct in this context as they do not form a meaningful phrase with "kicked."

Therefore, the correct answer is Option 1.

 

Complete Sentence: "Lata kicked up a row over nothing."

 

Additional Information

• Option 2: "out" is incorrect because "kicked out" typically means forcing someone to leave a place, which does not fit the sentence.
• Option 3: "off" is incorrect because "kicked off" is used to describe starting an event or activity, which does not match the intended meaning.
• Option 4: "into" is incorrect because "kicked into" does not form a meaningful phrase in this context.

The correct answer is 'go hard with'.

 

Key Points

• The phrase "go hard with" means to have a negative or adverse effect on someone.
• In the context of the sentence, losing the match would have a significant emotional or psychological impact on the subject.
• Options 1, 2, and 4 are incorrect as they do not fit the context or grammatical structure of the sentence.

Therefore, the correct answer is Option 3.

 

Complete Sentence: "It will go hard with him if he loses the match."

 

Additional Information

• Option 1: "go out with" is incorrect as it refers to dating or socializing, which is unrelated to the context.
• Option 2: "come out on" is incorrect because it does not convey the required meaning.
• Option 4: "come off with" is incorrect as it does not fit the context of the sentence.

परिवार के मुखिया का मानसिक रोगों से मुक्त होने पर परिवार में  "अनुशासन" आता है।

Key Points

• गद्यांश के अनुसार यदि परिवार के मुखिया का मानसिक रोगों से मुक्त है,
• तो  परिवार में अनुशासन,व्यवस्था, सदाचार, सुखदपूर्ण मानवीय सम्बन्ध आदि का विकास होगा।

Additional Information

• परिवार का  मुखिया - जो परिवार का मुख्य व्यक्ति हों।
• परिवार का  मुखिया परिवार के संचालन में मुख्य भागीदार होता है।
• परिवार का मुखिया बहुत ही बुद्धिमान गुणवान और शांति प्रिय और धैर्यवान होना चहिए।
• यदि मानसिक रोग से ग्रसित व्यक्ति परिवार का मुखिया हो तो परिवार में अनुशासनहीनता, अव्यवस्था,
• दुराचार एवं दु:खपूर्ण मानवीय सम्बन्ध आदि परिवार के दुर्भाग्य के कारण होंगे।

दिए विकल्पों में से "परिवार का मुखिया" परिवार के दुर्भाग्य का कारण नहीं है। 

Key Points

• दिये गये गद्यांश के अनुसार परिवार में अनुशासनहीनता, अव्यवस्था,
• दुराचार एवं दु:खपूर्ण मानवीय सम्बन्ध आदि परिवार के दुर्भाग्य के  कारण है।

Additional Information

• दिये गये गद्यांश के अनुसार यदि मानसिक रोग से ग्रसित व्यक्ति परिवार का मुखिया हो तो,
• परिवार में अनुशासनहीनता, अव्यवस्था, दुराचार एवं दु:खपूर्ण मानवीय सम्बन्ध आदि परिवार के दुर्भाग्य के कारण है।

गद्यांश के आधार पर कहा जा सकता है कि "मानसिक रोग" से मुक्ति आवश्यक है।

Key Points

• दिये गये गद्यांश के अनुसार यदि मानसिक रोग से ग्रसित व्यक्ति परिवार का मुखिया हो तो
• परिवार में अनुशासनहीनता, अव्यवस्था, दुराचार एवं दु:खपूर्ण मानवीय सम्बन्ध आदि परिवार के दुर्भाग्य का कारण है।
• अतः गद्यांश के आधार पर कहा जा सकता है कि "मानसिक रोग" से मुक्ति आवश्यक है।

Additional Information

• परिवार का  मुखिया - जो परिवार का मुख्य व्यक्ति  हों।
• परिवार का  मुखिया परिवार के संचालन में मुख्य भागीदार होता है।
• यदि परिवार के मुखिया का मानसिक रोगों से मुक्त है  तो  परिवार में अनुशासन,व्यवस्था,
• सदाचार, सुखदपूर्ण  मानवीय सम्बन्ध आदि का विकास होगा।

दिए गए विकल्पों में से "सौभाग्य" शब्द दुर्भाग्य का विलोम  है।

Key Points

• सौभाग्य का अर्थ - अच्छा भाग्य।
• दुर्भाग्य का अर्थ - बुरा भाग्य।

अन्य विकल्प - 

Additional Information

• विलोम शब्द  - जो शब्द किसी दूसरे शब्द का उल्टा अर्थ बताते हैं,
• उन्हें विलोम शब्द या विपरीतार्थक शब्द या विरुद्धार्थी शब्द कहते है।
• जैसे- हार- जीत, आय- व्यय, आजादी- गुलामी, नवीन- प्राचीन आदि।

दिए गए विकल्पों में से "अनुशासनहीनता" शब्द में उपसर्ग और प्रत्यय-दोनों का प्रयोग हुआ है। 

Key Points

• अनुशासनहीनता शब्द में उपसर्ग और प्रत्यय-दोनों का प्रयोग हुआ है।
• अनु + शासनहीन + ता = अनुशासनहीनता
• यहाँ 'अनु' उपसर्ग व 'ता' प्रत्यय है।

अन्य विकल्प - 

• दुराचार शब्द  में 'दुर्' उपसर्ग है।
• अव्यवस्था शब्द  में 'अ'  उपसर्ग है।
• 'दुर्भाग्य' शब्द में 'दुर्' उपसर्ग है।

Additional Informationउपसर्ग और प्रत्यय में अंतर-

दिए गए विकल्पों में से तत्सम-तद्भव शब्दों का "पक्ष-पक्षी" युग्म असंगत है।

Key Points

• 'पक्ष ' तत्सम शब्द है, इसका तद्भव रूप 'पंख ' है।

Additional Information

• तत्सम शब्द- ऐसे शब्द जिनकी उत्पत्ति संस्कृत भाषा में हुई ओर वे हिन्दी भाषा में बिना,
• किसी परिवर्तन के प्रयोग में आने लगे, ऐसे शब्द तत्सम शब्द कहलाते हैं।
• जैसे- कवि, माता, विद्या, नदी, फल, पुष्प, पुस्तक, पृथ्वी, क्षेत्र, कार्य, मृत्यु आदि।
• तद्भव शब्द- ऐसे शब्द जो संस्कृत भाषा से उत्पन्न होते हैं,
• लेकिन वो रूप बदलकर हिन्दी में आ गए हों, ऐसे शब्द तद्भव शब्द कहलाते हैं।
• जैसे- दुग्ध ----> दूध
• अग्नि ----> आग
• कार्य ----> काम
• कर्पूर ----> कपूर
• हस्त ----> हाथ

दिए गए विकल्पों में से "महा + उत्सव = महाउत्सव" संधि का उदाहरण असंगत है।

Key Points

• महा + उत्सव = महोत्सव( (आ + उ = ओ) 
  
• महा + उत्सव की संधि "महोत्सव" होता है।
• तथा इसमें “गुण संधि” लागू होती है।
• गुण संधि, स्वर संधि का एक प्रकार है।

Additional Information

• दो वर्णों के मेल से होने वाले विकार को संधि कहते हैं।
• दो शब्दों के मेल से बने शब्द को पुनः अलग अलग करने को संधि विच्छेद कहते हैं।

संधि के तीन प्रकार होते हैं- 

दिए गए विकल्पों में से "पुलिन" शब्द 'किरण' का पर्यायवाची शब्द नहीं है।

Key Points

• किरण के पर्यायवाची शब्द -  प्रभा, अर्चि, रश्मि, मयूख, कर, ज्योति, दीप्ति, किरण, अंशु, गो, मरीचि आदि।
• पुलिन के  पर्यायवाची शब्द - तीर, किनारा, कूल, रेतीला तट आदि।

Additional Information

• समान अर्थ प्रदान करने वाले शब्द पर्यायवाची शब्द अथवा समानार्थक शब्द कहलाते हैं।

कुछ  पर्यायवाची शब्द- 

• अतिथि- मेहमान ,पाहुन ,आगंतुक, अभ्यागत।
• औषधि- दवा, दवाई, भेषज।
• घी- हव्य, अमृतसार, क्षीरसार, आज्य।
• छाछ- गोरस, मठा, दधि स्वेद, मट्ठा।
• दूध- पय, क्षीर, गोरस, दुग्ध स्तन्य।
• जहर- हलाहल, विष, गरल, कालकूट, गर।
• चमक- ज्योति, प्रभा ,शोभा ,छवि, आभा।
• तरुण- युवा,जवान, युवक।
• पथ- मग, मार्ग, राह, पंथ, रास्ता।

दिए गए विकल्पों में से विलोम शब्द का "धनी - भिक्षुक" युग्म असंगत है। 

Key Points

• धनी का विलोम शब्द - निर्धन, दरिद्र।
• अतः सही विलोम शब्द युग्म होगा -  धनी - निर्धन।
• भिक्षुक का विलोम शब्द - नृप।

Important Points

• धनी शब्द का अर्थ - धनवाला, दौलतमंद।
• निर्धन शब्द का अर्थ - धनहीन ग़रीब।
• भिक्षुक का अर्थ- भीख माँगनेवाला।
• नृप का अर्थ - राजा (जो कभी  भीख नही माँगता)।

Additional Information

• जो शब्द किसी दूसरे शब्द का उल्टा अर्थ बताते हैं,
• उन्हें विलोम शब्द या विपरीतार्थक शब्द या विरुद्धार्थी शब्द कहते है।

उदाहरण - 

दिए गए विकल्पों में से "बूढ़ा" समूह से भिन्न शब्द है।

Key Points

• 'बूढ़ा' शब्द जातिवाचक संज्ञा है, जबकि  मित्रता, बचपन, बुढ़ापा शब्द भाववाचक संज्ञा है।
• यहाँ 'बूढ़ा' शब्द में सभी बूढ़ा जाति  का बोध होता है। अतः यह  जातिवाचक संज्ञा है।
• जबकि 'बुढ़ापा' शब्द जीवन एक अवस्था या दशा का बताता है, अतः यह भाववाचक संज्ञा है।

Important Points

Additional Information 

• भाववाचक संज्ञाओं का निर्माण जातिवाचक संज्ञा, विशेषण, क्रिया, सर्वनाम और अव्यय शब्दों से बनती हैं।
• भाववाचक संज्ञा बनाते समय शब्दों के अंत में प्रायः पन, त्व, ता आदि शब्दों का प्रयोग किया जाता है।

​जातिवाचक संज्ञा से भाववाचक संज्ञा बनाना- 

The correct answer is option 4: 49

Key Points

The given number is in hexadecimal (base 16) format: 31₁₆.

To convert it to decimal (base 10):

31₁₆ = (3 × 16¹) + (1 × 16⁰) = 48 + 1 = 49₁₀

Explanation of options:

• Option 1 – 49: ✅ Correct. It is the decimal equivalent of hexadecimal 31.
• Option 2 – 42: ❌ Incorrect conversion.
• Option 3 – 48: ❌ Only part of the correct sum (3 × 16), but missing +1.
• Option 4 – 41: ❌ Incorrect calculation from hexadecimal.

Hence, the correct answer is: option 1: 49

The correct answer is Option 2: (A) and (C) are correct.

Key Points

• Force of friction: Friction opposes the relative motion or the tendency of motion between two surfaces in contact. Statement (A) is correct.
• Inertia: It is the natural tendency of an object to resist changes to its state of motion or rest unless acted upon by an external force. Statement (C) is correct.
• Statement (B) is incorrect because friction does not assist motion; it always opposes it.
• The correct combination of statements is (A) and (C), making Option 2 the right answer.
• This question highlights key concepts of friction and inertia, which are foundational in classical mechanics.

Additional Information

• Friction:
• It is a contact force that resists the relative motion of objects or surfaces.
• There are different types of friction: static, kinetic, rolling, and fluid friction.
• Friction is essential for various activities, such as walking or driving, but it can also cause energy loss in the form of heat.
• Inertia:
• Inertia is directly proportional to an object's mass.
• It is described by Newton's First Law of Motion, often called the Law of Inertia.
• Three types of inertia exist: inertia of rest, inertia of motion, and inertia of direction.
• Newton's Laws of Motion:
• These laws describe the relationship between the motion of an object and the forces acting upon it.
• Newton's First Law explains inertia; the Second Law quantifies force (F = ma); and the Third Law states that every action has an equal and opposite reaction.
• Real-life examples of friction:
• Braking in vehicles is possible due to friction between the tires and the road.
• Writing with a pen or pencil requires friction between the writing instrument and paper.

The correct answer is Option 1.

Key Points

• Mission SAGAR was launched by the Indian government to provide Humanitarian Assistance and Disaster Relief (HADR) to friendly countries.
• Under Mission SAGAR, the Indian Navy undertook transhipment of HADR materials to Indian Ocean Region (IOR) countries.
• The focus of Mission SAGAR has been to assist countries in the IOR during crises, including the COVID-19 pandemic.
• Statement (B) is incorrect because Mission SAGAR's HADR operations were confined to Indian Ocean Region countries and did not extend globally.
• Thus, the correct option is (A) only, as Mission SAGAR specifically targeted IOR nations for HADR operations.

Additional Information

• Mission SAGAR
• Launched in May 2020, SAGAR stands for Security and Growth for All in the Region.
• It reflects India's commitment to building closer maritime ties with Indian Ocean Region countries.
• The initiative aligns with India's broader strategic vision of being a net security provider in the region.
• The Indian Navy plays a pivotal role in delivering relief materials, medical teams, and essential supplies under this mission.
• Indian Ocean Region (IOR)
• The IOR is a strategically important region due to its critical sea lanes, which facilitate global trade.
• Countries in the IOR include Sri Lanka, Maldives, Mauritius, Seychelles, Madagascar, and others.
• India's SAGAR initiative aims to strengthen partnerships and foster maritime security in this region.
• Humanitarian Assistance and Disaster Relief (HADR)
• HADR involves providing aid and assistance to countries or regions affected by natural disasters or humanitarian crises.
• It includes the delivery of food, medical supplies, and logistical support during emergencies.
• HADR operations are often conducted by armed forces, international organizations, and non-governmental entities.
• India’s Maritime Diplomacy
• India uses maritime diplomacy to foster goodwill and cooperation among IOR countries.
• Initiatives like SAGAR, joint naval exercises, and infrastructure development in smaller nations are part of this strategy.
• Such efforts enhance India's role as a responsible and reliable partner in the region.

The correct answer is Option 1.

Key Points

• The correct match for List I and List II is as follows:
• (A) Shri Raj Singh - (iii) Wrestling
• (B) Shri Dinesh Jawahar Lad - (iv) Cricket
• (C) Shri Jiwanjot Singh Teja - (i) Archery
• (D) Shri Mohammad Ali Qamar - (ii) Boxing
• This corresponds to Option 1, which is the correct answer.

Additional Information

• Dronacharya Award:
• Instituted in 1985, the Dronacharya Award is presented by the Government of India to recognize outstanding coaches in sports and games.
• The award is named after Dronacharya, the legendary guru from the Mahabharata.
• Recipients of this award receive a bronze statuette, a certificate, a ceremonial dress, and a cash prize.
• 2022 Dronacharya Awardees:
• Shri Raj Singh was honored for his contribution to wrestling coaching.
• Shri Dinesh Jawahar Lad was recognized for his exceptional coaching in cricket.
• Shri Jiwanjot Singh Teja received the award for coaching in archery.
• Shri Mohammad Ali Qamar was acknowledged for his contributions to boxing coaching.
• Significance of the Award:
• It highlights the vital role of coaches in nurturing sporting talent in India.
• The award aims to motivate coaches to continue their dedication to producing world-class athletes.
• Other Notable Sports Awards in India:
• Rajiv Gandhi Khel Ratna Award: Now renamed as Major Dhyan Chand Khel Ratna Award, it is the highest sporting honor in India.
• Arjuna Award: Recognizes outstanding performance in sports.
• Dhyan Chand Award: Honors lifetime achievements in sports and games.

The correct answer is Bengal Bahu Dur.

Key Points

• The Sahitya Akademi Award is a prestigious literary honor in India, presented annually by the Sahitya Akademi, India's National Academy of Letters.
• For the year 2022, Bengal Bahu Dur was awarded the Sahitya Akademi Award in the Assamese language category.
• This award recognizes outstanding literary work in any of the 24 official Indian languages, including Assamese.
• The author of Bengal Bahu Dur is acclaimed for their contribution to Assamese literature, demonstrating profound literary and cultural depth.
• The Sahitya Akademi Award aims to encourage and promote excellence in Indian literature, fostering a sense of pride in regional languages and their rich literary heritage.

Additional Information

• Sahitya Akademi Award:
• Started in 1954, it is one of the highest literary honors in India.
• It is awarded annually to writers for their outstanding books in poetry, novels, short stories, dramas, or critiques.
• The award includes a cash prize of Rs. 1,00,000, a shawl, and an engraved copper plaque.
• Assamese Literature:
• Assamese is one of the 22 official languages recognized by the Constitution of India.
• It has a rich literary history with contributions from eminent figures such as Srimanta Sankardeva, Madhav Kandali, and Lakshminath Bezbaroa.
• Modern Assamese literature continues to thrive, addressing contemporary themes and preserving cultural heritage.
• Role of Sahitya Akademi:
• The Sahitya Akademi is an autonomous organization under the Ministry of Culture, Government of India.
• It promotes Indian literature through awards, workshops, translations, and fellowships.
• The Akademi also organizes literary festivals and book fairs to support and celebrate regional and national literary traditions.
• Other Language Awards in 2022:
• Apart from Assamese, Sahitya Akademi Awards were presented to authors in other languages such as Hindi, Tamil, Bengali, and Kannada for their literary contributions in 2022.
• This reflects the diversity and richness of Indian literature across multiple languages and genres.

The correct answer is Mizoram.

Key Points

• Mizoram was granted full statehood on 20 February 1987 following the Mizoram Peace Accord signed in 1986 between the Government of India and the Mizo National Front (MNF).
• The Mizoram Peace Accord ended two decades of insurgency led by the MNF, which had demanded independence from India.
• The accord was signed between the then Prime Minister of India, Rajiv Gandhi, and MNF leader Laldenga, ensuring the disarmament of MNF cadres and their integration into mainstream politics.
• The transition to statehood was peaceful, and Mizoram became the 23rd state of India under the 53rd Constitutional Amendment Act, 1986.
• The peace and stability following the accord have contributed significantly to Mizoram's development and socio-political harmony.

Additional Information

• Secessionist Movements in India
• India has faced several secessionist movements, particularly in its northeastern states, often driven by ethnic, cultural, or political grievances.
• Such movements include the Naga movement in Nagaland, the Mizo insurgency in Mizoram, and the ULFA in Assam.
• Peace accords, such as the Mizoram Accord, have played a pivotal role in resolving many of these conflicts.
• Mizo National Front (MNF)
• The MNF was formed in 1961 by Laldenga to demand independence for Mizoram due to dissatisfaction with the Indian government's handling of a famine in the region in the late 1950s.
• After years of armed struggle, the MNF eventually agreed to the Mizoram Peace Accord, abandoning its secessionist demands and joining Indian democracy.
• 53rd Constitutional Amendment Act, 1986
• This amendment granted Mizoram full statehood and included it as the 23rd state of India under the Indian Constitution.
• It also provided special provisions to safeguard the cultural identity and autonomy of the Mizo people.
• Northeast India’s Statehood Journey
• Several northeastern states were initially Union Territories but were later granted statehood to address local aspirations and autonomy demands.
• Examples include Nagaland (1963), Meghalaya (1972), and Arunachal Pradesh (1987), apart from Mizoram.

The correct answer is Only (B) and (D).

Key Points

• Nanga Parbat is located in the Union Territory of Jammu and Kashmir, India. It is one of the prominent peaks of the Himalayas.
• Kamet is the second-highest peak in the Garhwal region of Uttarakhand, India, and is part of the Zanskar Range of the Himalayas.
• Dhaulagiri is located in Nepal and is not part of Indian territory.
• Annapurna is also located in Nepal and is part of the Annapurna Mountain Range in the Himalayas.
• Thus, the peaks located in India from the given options are Nanga Parbat and Kamet.

Additional Information

• Nanga Parbat is the ninth-highest mountain in the world, standing at 8,126 meters (26,660 feet). It is known as the "Killer Mountain" due to its challenging climbing history.
• Kamet is the 29th highest peak in the world, with an elevation of 7,756 meters (25,446 feet). It is less accessible compared to other Indian Himalayan peaks, making it a secluded climb.
• The Dhaulagiri Mountain, located in Nepal, is the seventh-highest mountain globally, with an elevation of 8,167 meters (26,795 feet).
• The Annapurna Range in Nepal includes Annapurna I, which is the tenth-highest mountain in the world at 8,091 meters (26,545 feet). It is part of the Annapurna Conservation Area.
• The Himalayas form a significant mountain range in Asia, separating the plains of the Indian subcontinent from the Tibetan Plateau and hosting some of the world's highest peaks, including Mount Everest.

The correct answer is Bacteria

Concept:

• Organisms are classified into two main categories based on their cell structure: prokaryotic and eukaryotic.
• Prokaryotic organisms lack a true nucleus and membrane-bound organelles, while eukaryotic organisms have a true nucleus surrounded by a nuclear membrane and contain membrane-bound organelles.
• Bacteria are prokaryotic organisms, their genetic material is not enclosed within a nuclear membrane.

Explanation:

• Fungi: Fungi are eukaryotic organisms which have complex cell structures with a true nucleus and various organelles. Examples include yeasts, molds, and mushrooms.
• Chimpanzee: Chimpanzees are also eukaryotic organisms. They are mammals and part of the animal kingdom, possessing highly organized cell structures with a true nucleus.
• Protozoa: Protozoa are single-celled eukaryotic organisms. They are diverse and include organisms such as amoebas and paramecia. They have a distinct nucleus and cellular structures.
• Bacteria: Bacteria are prokaryotic organisms. They do not have a nucleus; instead, their DNA is located in a nucleoid region within the cell. They lack membrane-bound organelles, making their cell structure simpler than that of eukaryotes..

The correct answer is 1) (A) is correct but (B) is wrong.

Key Points

• Fundamental Duties were not part of the original Constitution of India adopted in 1950.
• The concept of Fundamental Duties was introduced by the 42nd Constitutional Amendment Act, 1976.
• These duties were added based on the recommendations of the Swaran Singh Committee, which was constituted by the government in 1976.
• Initially, 10 Fundamental Duties were added under Article 51A in Part IV-A of the Constitution.
• An additional duty was added through the 86th Constitutional Amendment Act, 2002, increasing the total number of Fundamental Duties to 11.

Additional Information

• 42nd Constitutional Amendment Act, 1976:
• This amendment is also known as the "Mini-Constitution" due to its wide-ranging changes to the Constitution.
• It added the concept of Fundamental Duties to the Indian Constitution.
• It also introduced the words "Socialist," "Secular," and "Integrity" into the Preamble.
• Fundamental Duties under Article 51A:
• These duties are non-justiciable, meaning they are not legally enforceable by the courts.
• They serve as a moral obligation for Indian citizens to promote a sense of patriotism and uphold the unity of India.
• Swaran Singh Committee:
• This committee was constituted by the Indian government in 1976 to make recommendations on Fundamental Duties and constitutional reforms.
• Based on its recommendations, Fundamental Duties were incorporated into the Constitution.
• 86th Constitutional Amendment Act, 2002:
• This amendment added the 11th Fundamental Duty, which obligates parents or guardians to provide opportunities for education to their children aged 6 to 14 years.
• This duty aligns with the Right to Education under Article 21A.

The correct answer is Vande Mataram.

Key Points

• Vande Mataram was a journal started by Aurobindo Ghosh, not Mahatma Gandhi.
• M.K. Gandhi founded several publications during his lifetime, including Indian Opinion, Young India, and Nav Jeevan.
• Indian Opinion was launched in South Africa in 1903 to promote the struggle for Indian rights.
• Young India and Nav Jeevan were key publications used by Gandhi to disseminate ideas of Swaraj and non-violence during India's freedom struggle.
• The journal Vande Mataram was associated with revolutionary nationalism and not with Gandhi's philosophy of non-violence.

Additional Information

• Indian Opinion:
• Published in four languages: English, Tamil, Gujarati, and Hindi.
• Played a crucial role in Gandhi's initial activism against racial discrimination in South Africa.
• The newspaper was used to unite the Indian diaspora and amplify their grievances.
• Young India:
• A weekly journal published by Gandhi in 1919.
• Served as a platform to express Gandhi's views on various political and social issues.
• The journal inspired Indians to join the non-cooperation movement.
• Nav Jeevan:
• Initially a Gujarati weekly started by Gandhi in 1919.
• Later, it expanded to include editions in Hindi and English.
• Focused on promoting self-reliance, ethics, and the ideals of Swaraj.
• Vande Mataram:
• Started by Aurobindo Ghosh in 1905 during the Swadeshi movement.
• The journal opposed British colonial rule and supported revolutionary nationalism.
• The name was inspired by the famous national song "Vande Mataram" written by Bankim Chandra Chatterjee.

Decoding symbols:

Given: D ÷ H x R - P + J

D ÷ H → D is the sister of H.

H x R → H is the son of R.

R - P → R is the husband of P.

P + J → P is the mother of J.

Thus, D is J's sister.

Hence, "Option 2" is the correct answer.

Given statement: 

1. P ≤ Q 2. S ≥ Q 3. Q > R

Conclusions:

I. R = P → False (As P ≤ Q > R. So, no relation between R and P can be determined, therefore it is false.)

II. R < S → True (As R < Q ≤ S. So, we get R < S, therefore it is true.)

Thus, Only conclusion II is true.

Hence, the correct answer is "Option 2".

Given: Eight friends J, K, L, M, P, Q, R and S are sitting around a square table facing the centre of the table. Some of them are sitting at the corners while some are sitting at the exact middle of the sides.

1) 'P' sits at one of the corners.

2) ‘P´ sits third to the left of 'R'.

3) 'Q' is not an immediate neighbour of 'P'.

4) 'Q' does not sit at any of the corners.

5) 'K' sits second to the right of 'Q'.

6) 'S' is an immediate neighbour of 'J'.

7. 'S' does not sit at any of the middle of the sides.

8. Only three persons sit between 'S' and 'L'.

Thus, after positioning L only one position is left which will be occupied by the only person left i.e. M.

Thus, S sits second to the left of 'M'.

Hence, "Option 3" is the correct answer.

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

I. Some Almirahs are tables → Follow (As some benches are tables and all chairs are Almirahs, no chair is table. As no table can be chairs which whole comes in almirahs, therefore it is true.)

II. Some benches are chairs → Does not follow (As no chair is table and some benches are tables. So it is possible but not definite)

III. No table is Almirah → Does not follow (As some benches are tables and all chairs are Almirahs, no chair is table. As no direct relation is given between tables and almirahs, therefore it is false.)

∴ Here, Only conclusion I follows.​

Hence, the correct answer is "Option 1".

The diagram that best represents the relationship between the given classes is shown below :

Chair is a part of furniture.

Cup falls under the category of crockery but is related to furniture.

Hence, "Option 4" is the correct answer.

The correct answer is option 3: Mouse, Scanner, Joystick

Key Points

Input devices are used to provide data and control signals to a computer. The devices listed in Option 3 are all input devices:

• Mouse: Used to point, click, and interact with the computer.
• Scanner: Captures images or text and inputs them into the computer.
• Joystick: Used for input in gaming and controlling cursor movement.

Explanation of options:

• Option 1 – Keyboard, Monitor, Joystick: ❌ Monitor is an output device.
• Option 2 – Keyboard, Printer, Light pen: ❌ Printer is an output device.
• Option 3 – Mouse, Scanner, Joystick: ✅ All are input devices.
• Option 4 – Mouse, Microphone, Speaker: ❌ Speaker is an output device.

Hence, the correct answer is: option 3: Mouse, Scanner, Joystick

The correct answer is option 1: Dots Per Inch

Key Points

In computer terminology, DPI stands for Dots Per Inch. It is a measurement of the resolution or clarity of images, particularly used in:

• Printers: To indicate how many dots of ink are placed in a linear inch of paper.
• Monitors and Screens: To represent pixel density, especially in high-resolution displays.
• Mouse Sensitivity: In input devices like mice, higher DPI means more sensitivity and faster pointer movement.

Explanation of options:

• Option 1 – Dots Per Inch: ✅ Correct. Standard technical meaning of DPI.
• Option 2 – Devices Per Internet: ❌ No such term exists in computing.
• Option 3 – Drops Per Information: ❌ Incorrect and unrelated to DPI.
• Option 4 – Digitally Persistent Information: ❌ Sounds technical but is not a valid term for DPI.

Hence, the correct answer is: option 1: Dots Per Inch

The correct answer is option 4: Android

Key Points

An Operating System (OS) is system software that manages computer hardware and software resources and provides common services for computer programs.

Android is an open-source mobile operating system developed by Google. It powers smartphones, tablets, smart TVs, and more. It handles tasks like memory management, application execution, and user interface operations.

Explanation of options:

• Option 1 – Edge: ❌ Microsoft Edge is a web browser, not an operating system.
• Option 2 – Word: ❌ Microsoft Word is a word processing application.
• Option 3 – Firefox: ❌ Mozilla Firefox is a web browser.
• Option 4 – Android: ✅ Correct. Android is a full-fledged operating system for mobile devices.

Hence, the correct answer is: option 4: Android

The correct answer is option 2: Microsoft Word

Key Points

Microsoft Word is a widely used word processing application developed by Microsoft. It is designed for creating, editing, formatting, and printing text-based documents such as formal applications, letters, resumes, and reports. It offers features like templates, spelling and grammar checks, formatting tools, and more, making it ideal for writing formal documents.

Explanation of options:

• Option 1 – Microsoft Edge: ❌ A web browser used for browsing the internet, not for writing documents.
• Option 2 – Microsoft Word: ✅ Correct. Best suited for creating formal applications and text documents.
• Option 3 – Microsoft Excel: ❌ Used for spreadsheets, calculations, and data analysis.
• Option 4 – Microsoft Access: ❌ A database management tool, not for writing documents.

Hence, the correct answer is: option 2: Microsoft Word

The correct answer is option 1: Anti Viruses

Key Points

Kaspersky, McAfee, Norton, and similar software are well-known antivirus programs designed to detect, prevent, and remove malicious software such as viruses, trojans, worms, and spyware. They provide real-time protection, scanning, and quarantine features to keep systems safe from cyber threats.

Explanation of options:

• Option 1 – Anti Viruses: ✅ Correct. These are security programs designed to fight against malicious software.
• Option 2 – Trojan Horses: ❌ These are types of malware, not antivirus software.
• Option 3 – Spam Viruses: ❌ Spam is related to unwanted emails, and this is not a standard term.
• Option 4 – Worm Viruses: ❌ Worms are a type of virus, not antivirus software.

Hence, the correct answer is: option 1: Anti Viruses

Educational psychologist Benjamin Bloom classified learning into three primary domains: cognitive, affective, and psychomotor.

Key Points

• The term feeling is closely related to attitudes, emotions, values, and motivations. These characteristics are central to the affective domain of Bloom’s taxonomy.
• When students express interest, show empathy, or develop preferences and values, they engage in learning outcomes within the affective domain.
• For example, a student showing care for the environment or feeling motivated to help others is demonstrating growth in the affective domain.
• This domain emphasizes internalizing values through emotional responses and is often measured by how learners react to stimuli on an emotional level.

Hint

• The emotional domain is often confused with the affective domain, but the term "emotional domain" is not formally recognized in Bloom’s taxonomy; it is rather an informal reference and overlaps with the affective domain.
• The cognitive domain centers on intellectual abilities such as remembering, understanding, and problem-solving and is more about thinking than feeling.
• The psychomotor domain relates to physical coordination and motor skills, such as writing, drawing, or playing an instrument, and does not directly involve emotions or feelings.

Hence**, the correct answer is affective domain.**

Growth is different from development, although the two are often used together. While development refers to both qualitative and quantitative improvements in a person’s abilities and behavior, growth is more specifically focused on measurable changes.

Key Points

• Growth refers to an increase in size, height, weight, or other measurable bodily features. It is a biological and physical process and can be tracked using tools such as scales or measuring tapes.
• This means it deals with numerical or measurable aspects, making it a quantitative change.
• For example, a child growing five inches taller over a year or gaining weight shows physical and quantifiable changes.
• These changes are concrete and objective and are not related to behavior, skills, or emotions.

​​

Hint

​ Social change involves changes in relationships, interactions, and social roles, which relate more to social development rather than growth. Emotional change includes variations in how a person feels or expresses emotions, which is part of emotional development. Qualitative change refers to improvements in abilities or functions, such as learning to think critically or becoming more responsible, which are aspects of development rather than growth.

<br>

Hence, the correct answer is quantitative change.

Education is a purposeful process aimed at the all-round development of individuals.

Key Points

• Finding fault with others reflects a negative and critical attitude that does not align with the broader goals of education. Education is intended to promote understanding, empathy, cooperation, and constructive thinking.
• Encouraging a habit of criticizing others without purpose can hinder teamwork, disrupt social harmony, and negatively affect personal development.
• True education fosters self-awareness, respect for others, and the ability to work collaboratively rather than focusing on the shortcomings of others in a destructive manner.
• Therefore, such behavior contradicts the foundational values education seeks to build.

Hint

• Developing values is a central objective of education as it shapes students’ character, ethics, and decision-making.
• Earning a livelihood is also a key aim, as education equips individuals with the knowledge and skills required for employment.
• Serving society is an essential goal, as education prepares individuals to contribute meaningfully to the community and uphold democratic and humanitarian values.

Hence, the correct answer is to find fault with others.

Evaluation is a crucial part of the educational process as it helps determine the effectiveness of teaching and the extent of student learning.

Key Points

• Attitudes and values are internal, deeply personal aspects of a learner's development, shaped by experiences, environment, and emotional responses.
• They are not directly observable and often require indirect methods like self-reports, behavior observations, or situational assessments.
• Even then, responses may be influenced by social expectations or personal biases, making the evaluation inconsistent or unreliable.
• Unlike academic content or physical performance, attitudes and values cannot be measured with a simple test or scale, making them the most complex and challenging area to evaluate in education.

Hint

• Teaching methods can be evaluated through classroom observations, student feedback, and performance analysis.
• Content evaluation is straightforward, as it involves checking curriculum alignment, learning objectives, and subject matter coverage.
• Physical fitness can be measured through physical tests like endurance runs, strength exercises, and other standardized fitness assessments, making it relatively easy to evaluate.

Hence, the correct answer is attitudes and values.

Growth refers to the physical and measurable increase in the body such as changes in height, weight, and organ size. 

Key Points

• Maturation plays a crucial role in growth because it involves the natural unfolding of genetic traits that enable the body to grow and function properly.
• It is the biological process through which a child’s body and brain become ready for certain developmental milestones, such as walking, talking, or puberty.
• Without the process of maturation, physical growth may be delayed or impaired regardless of environmental support.
• This internal mechanism ensures that the body grows at the appropriate rate and sequence, making it a fundamental aspect of physical growth.

Hint

• Dimensions refer to various aspects of development like physical, emotional, cognitive, and social but they are not specific to the physical changes involved in growth.
• Development includes both qualitative and quantitative changes and covers a broader scope than growth alone.
• Social behavior involves how a person interacts with others and is part of social development, not physical growth.

Hence, the correct answer is maturation.

Adolescence is a critical stage in human development marked by rapid physical, emotional, and psychological changes.

Key Points

• Anxiety disorders are increasingly common among school-going adolescents due to pressures such as academic expectations, social comparison, fear of failure, and uncertain future goals.
• These disorders may present through symptoms like restlessness, nervousness, difficulty concentrating, and physical complaints like headaches or stomachaches without a medical cause.
• Unlike physical illnesses, anxiety often goes unnoticed but can seriously affect learning, behavior, and overall well-being.
• With the rise in digital exposure and changing social dynamics, adolescents are more prone to emotional stress, making anxiety a significant issue in schools today.

Hint

• Neurological disorders, such as epilepsy or cerebral palsy, do affect some adolescents but are far less common and typically identified earlier.
• Physical disorders involve bodily impairments or diseases, which are generally less prevalent than emotional or psychological issues in adolescence.
• Auditory disorders refer to hearing problems, which are relatively rare and usually not associated with the majority of school-related difficulties in this age group.

Hence, the correct answer is anxiety disorder.

Adolescents undergo a complex phase of growth marked by emotional fluctuations, identity exploration, and sensitivity to social dynamics.

Key Points

• Emotional support is essential for adolescents as they navigate the challenges of growing up, including peer pressure, academic stress, and self-doubt.
• By offering emotional support, teachers provide a safe and understanding environment where students feel heard, valued, and accepted.
• This support helps adolescents regulate their emotions, build resilience, and develop a healthy self-concept.
• Emotional support does not necessarily mean solving their problems, but rather being available, approachable, and responsive to their emotional needs, which is crucial for their well-being and overall development.

Hint

• Empathy is the ability to understand and share another's feelings, and while it is important, it is a component of emotional support rather than a broader action.
• Co-operation generally refers to working together, which is useful but doesn't specifically address the emotional needs of adolescents.
• Sympathy involves feeling pity for someone, which may create a sense of distance or inferiority, rather than the comfort and connection adolescents require.

Hence, the correct answer is emotional support.

Hormones play a vital role in regulating physical, emotional, and behavioral changes, especially during adolescence. As hormonal activity increases during puberty, it influences mood, energy levels, emotional responses, and even behavioral tendencies. 

Key Points

• Adrenaline, also known as epinephrine, is a hormone released by the adrenal glands in response to stress or excitement.
• It activates the body's "fight or flight" response, increasing heart rate, blood pressure, and energy supply.
• This sudden surge can lead to intense emotional reactions, including fear, anxiety, or aggression.
• In youth, especially during emotionally charged situations, adrenaline can amplify aggressive behavior due to heightened arousal and reduced impulse control.
• Therefore, adrenaline is closely linked to aggression, particularly when combined with emotional stress or frustration.

Hint

• Insulin regulates blood sugar levels and has no direct connection to aggression or emotional behavior.
• Dopamine is associated with pleasure, motivation, and reward mechanisms in the brain, and while imbalances can affect behavior, it is not directly linked to aggression.
• Thyroxine controls metabolism and energy levels, and its primary role is in physical and cognitive development rather than aggressive behavior.

Hence, the correct answer is adrenaline.

A strong connection between home and school is essential for the holistic development of a child. When families and schools work together, it fosters better understanding, consistent support, and a more nurturing environment for students.

Key Points

• Teachers play a central role in forming the bridge between home and school. They interact daily with students, observe their behavior and performance, and communicate these observations to parents.
• Through regular meetings, phone calls, and written reports, teachers keep parents informed about their child's progress and challenges.
• Moreover, they guide parents on how to support learning at home and often act as mediators when issues arise.
• Their consistent contact with both the student and the family makes them the key link that ensures alignment between home expectations and school goals.

Hint

• Parents are essential partners in education, but they depend on communication from teachers to stay informed about school matters.
• Students are at the center of the process, but they often lack the maturity or means to serve as a reliable bridge between home and school.
• Management sets policies and provides infrastructure, but does not engage directly with parents and students on a daily basis.

Hence, the correct answer is teachers.

In the educational process, certain traits and behaviors are not directly taught but are learned through practice and repeated exposure.

Key Points

• Habits are behaviors that are developed through regular repetition and practice.
• Unlike knowledge, which can be directly imparted through lessons, habits are formed when actions are repeated consistently.
• For example, regular study routines, physical exercise, or good time management skills are learned through continuous practice rather than formal teaching.
• Students might not be explicitly taught how to develop good habits, but they gradually internalize them by engaging in them repeatedly.

Hint

• Knowledge refers to information and understanding, which is generally taught through formal instruction, lessons, and educational resources.
• Attitudes can be influenced through guidance, reflection, and discussions, though they are more malleable than habits and can be taught or shaped by positive reinforcement.
• Values are often developed through personal experiences and societal influences but can also be taught indirectly through role models and real-life applications.

Hence, the correct answer is habits.

Motivation plays a pivotal role in the learning process as it drives students to engage with the material, persist through challenges, and achieve educational goals.

Key Points

• Intrinsic motivation is considered the most effective for learning because it comes from within the learner.
• When students are intrinsically motivated, they engage in learning for the enjoyment, interest, or personal satisfaction they get from the activity itself, rather than for external rewards.
• This type of motivation leads to deeper engagement, better retention of information, and a more positive attitude toward learning.
• Students who are intrinsically motivated are likely to pursue knowledge for its own sake and are more likely to exhibit perseverance, curiosity, and creativity in their learning.

Hint

• Extrinsic motivation involves external rewards such as grades, prizes, or approval from others. While it can be effective for short-term goals or tasks, it may not encourage long-term engagement or deep learning.
• Emotional motivation refers to the influence of emotions like fear, anxiety, or excitement on learning. While emotions can drive immediate action, they may not always promote sustained or effective learning.
• Progressive motivation, although not commonly used as a formal term, may refer to motivation driven by gradual improvement or the desire to progress, but it is less defined compared to intrinsic or extrinsic motivation.

Hence, the correct answer is intrinsic motivation.

The learning environment in a classroom plays a critical role in shaping how effectively students absorb and engage with the material.

Key Points

• Effective use of the blackboard can significantly enhance the learning process. The blackboard remains a fundamental tool for teaching, allowing teachers to visually present concepts, diagrams, and important points in a clear and organized manner.
• When used effectively, it helps students follow along with the lesson, reinforces key ideas, and provides a focal point for the class.
• The act of writing on the blackboard also helps with student attention and retention, making it an important tool for engaging students in the learning process.

Hint

• While having fewer students in the class can provide more individual attention, it's not always a guarantee of better learning, as the quality of teaching and interaction is just as important.
• A magnetic personality in a teacher may help capture students’ attention, but it doesn't necessarily lead to deep learning or understanding.
• Comfortable furniture can contribute to physical comfort, but it doesn't directly affect cognitive engagement or the quality of learning in a classroom setting.

Hence, the correct answer is effective use of blackboard.

Learning is a dynamic process that involves various strategies and theories, each explaining how individuals acquire skills and knowledge.

Key Points

• The Trial and Error Theory of Learning, proposed by Edward Thorndike, is the most relevant theory for the event of a child falling repeatedly while learning to cycle.
• This theory suggests that learning occurs through repeated attempts and mistakes. When the child falls while cycling, they are engaging in trial and error—trying different methods to balance, steer, and pedal.
• Over time, the child learns which actions lead to success (riding the bike) and which ones lead to failure (falling), gradually improving their skills through repetition and adjustment.
• This process of learning from mistakes and refining actions fits perfectly with the experience of learning cycling.

Hint

• The Law of Readiness by Thorndike suggests that learning occurs when an individual is ready to learn, which involves mental and physical preparedness.
• Insight Learning, proposed by Wolfgang Köhler, involves sudden realizations or "aha moments" after contemplation, but learning cycling is typically more incremental rather than based on sudden insights.
• Perspective Learning does not appear to be a widely recognized formal theory of learning and is not relevant in this context.

Hence, the correct answer is the Trial and Error Theory of Learning.

The teacher-student relationship is one of the most critical factors in the educational process. The quality of this relationship can have a profound impact on a student's learning, emotional development, and overall well-being.

Key Points

• A supportive and emotional relationship between the teacher and the child is considered the most beneficial for fostering both academic and emotional development.
• Teachers who offer emotional support create a safe space for students, encouraging them to express themselves, make mistakes, and take risks in their learning without fear of judgment.
• Emotional support helps in building trust, self-esteem, and motivation, all of which are essential for a child's growth and development. It also makes the learning experience more meaningful and enriching, promoting a sense of belonging and engagement in the classroom.

Hint

• An official relation refers to a more formal and detached interaction that focuses strictly on the educational tasks, which can limit the emotional connection and support a child needs for holistic development.
• A social relation involves general interaction and communication, but without the deeper emotional support that helps address a child's specific needs.
• A cordial relation is friendly and polite but may not necessarily involve the deeper emotional and supportive engagement required for effective learning and development.

Hence**, the correct answer is a supportive and emotional relation.**

The effectiveness of a teacher is often linked to their qualifications, but qualifications alone do not guarantee success in the classroom.

Key Points

• Not necessary is the most accurate answer because a highly qualified teacher may not always be successful in every teaching scenario.
• While qualifications and expertise in a subject matter are important, a successful teacher also needs a range of skills such as emotional intelligence, communication, adaptability, classroom management, and the ability to inspire and motivate students.
• Some teachers may lack formal qualifications but possess natural teaching abilities, empathy, and a deep understanding of how to connect with students, making them equally effective, if not more so, than those with higher academic qualifications.

Hint

• Saying yes implies that high qualifications always lead to success, which is not true because teaching effectiveness depends on more than just knowledge—it also requires interpersonal skills and practical teaching strategies.
• No would suggest that qualifications don't matter at all, but that is not entirely accurate, as subject knowledge and educational background do play a role in shaping a teacher’s effectiveness.
• The statement less qualified teachers are successful isn't necessarily true; while some less qualified teachers can be successful, it doesn't imply that qualifications don’t matter at all, as the combination of knowledge and teaching skills is important.

Hence**, the correct answer is not necessary.**

When parents seek admission for their child in a school, they consider several factors to ensure the best educational experience for their child.

Key Points

• A good organizational climate is the most important factor for a parent to consider. It refers to the overall atmosphere of the school, including its culture, values, leadership, and the quality of relationships between teachers, students, and staff.
• A supportive and positive organizational climate fosters a sense of belonging, encourages learning, promotes emotional well-being, and helps in the holistic development of students.
• It creates a safe and motivating environment that is essential for both academic success and personal growth. This factor goes beyond just the physical facilities and directly impacts the child's educational experience.

 Hint

• While an attractive building may create a positive first impression, it does not guarantee that the school offers a quality learning experience or a positive atmosphere for students.
• Air-conditioned buses may offer comfort but do not directly contribute to the quality of education or the overall school environment.
• A big playground is important for physical development and recreation but is not as crucial as the emotional and social climate that affects the child’s academic and personal growth.

Hence, the correct answer is good organizational climate.

Educational tours and field trips are effective tools for enhancing learning by providing students with real-world experiences that complement classroom instruction.

Key Points

• When children take an educational tour to a local museum, they are most likely to develop interest.
• Museums provide hands-on learning experiences that stimulate curiosity and allow children to connect abstract concepts with tangible, real-world examples.
• Exhibits, artifacts, and interactive displays can ignite a child's passion for history, art, science, or culture, leading to a deeper interest in the subjects explored.
• This interest encourages further exploration, learning, and engagement, making the educational tour a valuable experience for long-term educational development.

Hint

• Anxiety might occur in some students, especially if they feel uncomfortable in a new environment or are overwhelmed by the museum setting, but it’s not the typical response to a museum tour.
• Curiosity is a close second, as the new environment and exposure to different artifacts can spark questions and exploration. However, the overarching response tends to be a developing interest in the subject matter.
• Enjoyment is also a possible response, but it is more about the emotional experience and may not directly relate to the educational value and learning that occurs during the tour.

Hence, the correct answer is interest.

A classroom environment plays a crucial role in the effectiveness of teaching and learning. The quality of teaching, the physical setting, and the resources available all influence how well students engage with the content and learn.

Key Points

• Well-qualified teachers with warmth to support children are the most essential factor for a positive and effective learning environment.
• Teachers who are not only knowledgeable but also warm, empathetic, and supportive can create a safe and encouraging atmosphere where students feel comfortable expressing themselves and engaging in learning.
• Such teachers are able to recognize the individual needs of students, offer personalized guidance, and foster a love of learning, which is key to student success.
• This teacher-student relationship, rooted in warmth and support, is vital for the emotional and academic growth of children.

Hint

• Well-equipped classrooms with teaching aids are important, as they provide the tools necessary for interactive and engaging learning. However, without a supportive teacher to guide and use those resources effectively, their impact may be limited.
• Comfortable furniture is essential for physical comfort, but it is secondary compared to the role a teacher plays in fostering a positive learning experience.
• Air-conditioned rooms may offer physical comfort, especially in hot climates, but again, they do not directly contribute to the emotional and academic development of students like the role of a teacher does.

Hence, the correct answer is well-qualified teachers with warmth to support children.

Fostering a scientific temper in children is an important educational objective that encourages curiosity, critical thinking, and a rational approach to problem-solving. 

Key Points

• Conducting experiments in class is the most effective way to arouse scientific temper among children.
• Experiments provide students with firsthand experience of scientific principles, helping them understand concepts through observation, hypothesis testing, and analysis.
• This practical approach fosters a sense of curiosity and inquiry, encouraging students to question phenomena, test ideas, and draw conclusions based on evidence.

Hint

• Group discussion can be a valuable method for stimulating critical thinking and encouraging students to explore various viewpoints. However, without hands-on activities like experiments, it may not fully engage children in the practical aspects of science.
• The lecture method is more passive and may not actively involve students in the learning process, thus limiting opportunities for them to develop scientific inquiry skills.
• Reading the text provides information, but it doesn’t engage students in active exploration or experimentation, which are essential for fostering a scientific temper.

Hence, the correct answer is conducting experiments in class.

Textbooks play a central role in the educational system as they provide a structured and organized approach to learning. They serve as a key resource for both teachers and students, offering a comprehensive foundation of knowledge and aligning with curriculum objectives.

Key Points

• Textbooks are required for learning because they guide the teacher to confine to the syllabus.
• A well-structured textbook ensures that both teachers and students stay on track with the prescribed curriculum, ensuring all topics and concepts are covered systematically.
• It acts as a reference point for teachers to deliver lessons that are aligned with the syllabus and exam requirements.
• Additionally, textbooks provide continuity, ensuring that students receive a balanced and comprehensive education in line with educational standards and expectations.

Hence**, the correct answer is that textbooks would guide the teacher to confine to the syllabus.**

Curriculum is a planned set of learning experiences designed to bring about desired educational outcomes. It plays a vital role in shaping students' knowledge, skills, values, and attitudes.

Key Points

• A goal-oriented curriculum is designed with specific learning objectives in mind, focusing on the overall development of the learner.
• It guides the selection of content, teaching strategies, and assessment methods in alignment with these goals.
• Educationists stress the importance of defining what students should achieve by the end of a learning process. This ensures that teaching is purposeful and learning outcomes are measurable.
• A curriculum with clear goals also helps in maintaining consistency across educational levels. It allows for better monitoring of student progress and supports accountability in education.
• Thus, a goal-oriented approach makes the curriculum more meaningful, systematic, and learner-centered.

Hint

• A management-oriented curriculum may emphasize administrative ease and institutional needs rather than focusing on student learning outcomes, limiting its educational effectiveness.
• A parent-oriented curriculum would cater to parental expectations, which may not always align with sound pedagogical principles or the developmental needs of children.
• A teacher-oriented curriculum tends to prioritize the convenience or preferences of educators, which may overlook the importance of learner diversity and intended educational goals.

Hence, the correct answer is goal oriented.

Learning theories explain how individuals acquire, process, and retain knowledge.

Key Points

• The law of trial and error, proposed by Edward Thorndike, best explains how children learn in primary school settings. When a child is introduced to a new concept or activity, they often try different methods to achieve success.
• Through repeated attempts, they gradually eliminate unsuccessful responses and retain the ones that lead to success.
• This process is natural for young learners as they explore, make mistakes, and learn from the outcomes.
• Encouragement and reinforcement help strengthen successful behaviors.
• In the classroom, this can be observed when children learn to read, solve puzzles, or adjust to routines.
• Trial and error is thus a practical and observable form of learning at this foundational stage.

Hint

• Law of effect emphasizes that behaviors followed by satisfying outcomes are more likely to be repeated, which supports learning but focuses more on consequences rather than the exploratory process itself.
• Law of readiness suggests that learning depends on the learner's mental and physical preparedness, which is important but not the initial method through which children learn new tasks.
• Stimulus-response theory explains learning as a direct reaction to stimuli, but it does not fully capture the exploratory and corrective process seen in young learners’ trial-and-error behavior.

Hence**, the correct answer is law of trial and error.**

Constructivist teaching is an educational approach rooted in the theory that learners actively construct their own understanding and knowledge of the world through experiences and reflection.

Key Points

• The child is at the center of the constructivist method of teaching and learning.
• This approach encourages learners to engage with content, ask questions, collaborate with peers, and build knowledge through hands-on experiences.
• When children can explore concepts in meaningful ways, they develop critical thinking and problem-solving skills.
• Constructivist classrooms foster independence and ownership of learning, helping children to become self-motivated and confident learners.
• It also recognizes that each child brings prior knowledge into the learning process, which is respected and built upon.

Hint

• The teacher plays an important role as a guide, but the constructivist approach does not focus on empowering the teacher.
• The principal manages the school environment but is not directly influenced by teaching methods in classroom-level constructivist learning.
• The librarian provides resources to support learning, yet the method itself is not designed to empower their role in the learning process.

Hence**, the correct answer is the child.**

Information and Communication Technology (ICT) has transformed modern education by making teaching more interactive, accessible, and efficient. 

Key Points

• One of the main disadvantages of using ICT in the classroom is the tendency to always depend on technology.
• When students and teachers overly rely on digital tools, they may struggle to adapt when technology fails or is unavailable.
• This dependence can limit creative problem-solving and reduce engagement with non-digital learning methods.
• Learners may become passive recipients of information instead of actively constructing knowledge through discussion, exploration, and hands-on activity.

Hint

• Hampering of thinking skills is not a direct result of ICT use; in fact, when used properly, ICT can enhance critical thinking and analysis.
• Straining of eyes is a physical concern but is more of a health issue than a primary educational disadvantage.
• The cost of ICT tools can be a challenge in some settings, but it is not universally the main disadvantage, especially where infrastructure already exists.

Hence**, the correct answer is always depends on technology.**

Teacher performance plays a key role in ensuring effective classroom teaching and positive student outcomes.

Key Points 

• ​Taking feedback from the children is one of the most effective ways for teachers to improve their performance.
• Students are the direct recipients of teaching, and their responses, questions, engagement levels, and reflections provide valuable insights into how well the teaching strategies are working.
• When teachers listen to students’ feedback formally or informally they can identify gaps in understanding, adjust their methods, and adopt approaches that resonate more with learners.
• It creates a responsive teaching environment where student needs guide instructional decisions.
• This practice also builds a positive teacher-student relationship and encourages active participation from learners, ultimately improving learning outcomes.

Hint

• Pursuing higher qualification contributes to subject expertise but may not always improve day-to-day classroom practice.
• Attending seminars helps stay updated with new trends, but its effectiveness depends on implementation in the classroom.
• Thorough reading before class is important for preparation, but it does not provide feedback on teaching effectiveness or learner needs.

Hence**, the correct answer is taking feedback from the children.**

The Persons with Disabilities (Equal Opportunities, Protection of Rights and Full Participation) Act, 1995, commonly known as the PwD Act, was a landmark legislation in India aimed at promoting and ensuring equality for persons with disabilities.

Key Points

• The Persons with Disabilities Act 1995 came into force with effect from January 1996.
• Though the Act was enacted by the Indian Parliament in 1995, the provisions officially began to apply from the following year.
• This means the legal rights, protections, and responsibilities outlined in the Act became enforceable from January 1996.
• It marked the beginning of structured efforts by the Indian government to provide equal opportunities to persons with disabilities, particularly in education, employment, and public services.

Hence, the correct answer is January 1996.

When a child consistently struggles with writing legibly, forming letters, or organizing text on paper, it is important to understand the root cause. 

Key Points

• Dysgraphia is a specific learning disability that directly affects a child’s handwriting ability and fine motor skills.
• Children with dysgraphia may have trouble forming letters correctly, maintaining consistent spacing, and organizing thoughts on paper.
• This can result in handwriting that is slow, illegible, or inconsistent. Unlike general poor handwriting, dysgraphia is neurologically based and may exist even when a child has normal intelligence and adequate instruction.
• In the classroom, such children often struggle with written assignments and may avoid tasks involving writing, despite understanding the concepts.
• Recognizing dysgraphia early allows for accommodations such as oral responses or the use of typing tools.

 Hint

• Autism may involve a range of developmental delays, including motor skills, but impaired handwriting is not a primary characteristic.
• Apraxia is a motor planning disorder that affects speech more commonly than writing, and it does not typically cause isolated handwriting difficulties.
• Dyslexia primarily affects reading and language processing, not handwriting, although it may sometimes be accompanied by writing challenges.

Hence**, the correct answer is dysgraphia.**

Mental impairments in children can affect their emotional well-being, social development, and academic performance.

Key Points

• ADHD, or Attention Deficit Hyperactivity Disorder, is the most commonly diagnosed mental impairment among children.
• It affects a child's ability to focus, stay organized, and control impulses, often leading to difficulty in following instructions and maintaining attention in class.
• Children with ADHD may appear restless, act without thinking, or struggle to stay seated.
• These behaviors are not simply disciplinary issues but stem from neurological differences that impact self-regulation.

Hint

• ​ Depression can occur in children but is more prevalent in adolescents and often underdiagnosed in younger age groups.
• Maladjustment refers to difficulties in adapting to social or academic settings, but it is a broad term and not classified as a specific mental disorder.
• Anxiety is also common among children, especially in school contexts, but its diagnosis rates are slightly lower than those of ADHD.

Hence**, the correct answer is ADHD.**

Mental health is a crucial aspect of a student's overall well-being and academic success.

Key Points

• Manodarpan is the initiative launched by the Ministry of Education to provide psychosocial support to students for their mental health and well-being.
• This program aims to address the mental health concerns of students by offering counseling services, creating awareness through various resources, and establishing a support system within educational institutions.
• By integrating mental health support into the education system, Manodarpan seeks to create a conducive learning environment that prioritizes the emotional and psychological needs of students.

Hint

• School Health Program focuses on the overall physical health and hygiene of students rather than specifically addressing mental health issues.
• Health for all Program is a broader public health initiative aimed at providing comprehensive healthcare services to the general population, not exclusively targeting students' mental health.
• AEP, or Adolescence Education Program, primarily deals with educating adolescents about issues related to puberty, sexuality, and reproductive health, without a specific focus on mental health support.

Hence, the correct answer is Manodarpan.

Addressing mental health issues in schools is essential for creating a supportive learning environment. Schools are often the first place where signs of emotional distress or psychological challenges in children become visible.

Key Points

• Lack of awareness is the major challenge schools face in addressing mental health issues among children.
• Many educators, parents, and even students are not fully informed about the signs of mental distress or the importance of early intervention.
• As a result, behavioral changes in children are often misunderstood as indiscipline or laziness.
• Without proper awareness, mental health concerns go unnoticed or unaddressed, leading to worsening conditions.

Hint

• Lack of professional experts is a significant issue, but it becomes relevant only when there is enough awareness to seek expert help.
• Lack of funds can limit resources but is not as fundamental as the absence of awareness that drives demand and policy.
• Lack of time is often cited as a reason, but mental health integration requires more of a mindset shift than extensive time allocation.

Hence**, the correct answer is lack of awareness.**

Education is not limited to classroom learning; it also involves connecting students with the community around them. Field visits and practical experiences outside school help students understand real-world applications of their lessons and build relationships beyond the school environment.

Key Points

• When students visit a local bank, it is an example of building student public relationships.
• This kind of engagement exposes students to public services and institutions, helping them understand how society functions.
• It provides an opportunity for learners to interact with people outside the school setting, observe operations in real-life contexts, and appreciate the role of banks in the community.
• Such experiences contribute to broadening their social understanding and encourage responsible citizenship.
• The relationship formed here is between the students and the public institution, making it an important extension of their education beyond textbooks.

Hint

• Parent student relationship involves interactions and cooperation between the child’s family and the student, which is unrelated to bank visits.
• Teacher student relationship is centered within the classroom and school context, focusing on guidance and instruction.
• Home community relationship refers to the connection between students’ families and the local community, which is broader but does not directly describe a school-organized visit to a bank.

Hence, the correct answer is student public relationship.

Leadership in school education plays a crucial role in shaping the learning environment, motivating staff and students, and achieving educational goals.

Key Points

• Democratic leadership is often considered the best kind of leadership in school education because it encourages participation, collaboration, and shared decision-making among teachers, students, and staff.
• This style values the input of all members of the school community, fostering a sense of ownership and collective responsibility.
• Democratic leaders promote open communication, listen to diverse perspectives, and build consensus, which helps in creating an inclusive and motivating environment.
• Such leadership not only supports academic success but also nurtures social and emotional growth.

Hint

• Autocratic leadership involves centralized control and decisions made without much input from others, which can limit creativity and reduce motivation in a school setting.
• Servant leadership focuses on serving others and putting the needs of students and staff first, which is valuable but less common as the primary leadership style in schools.
• Transformational leadership inspires and motivates followers toward change and improvement, but it often works best alongside democratic principles for sustained collaboration.

Hence**, the correct answer is democratic relationship.**

Institutional planning in education involves organizing and managing resources, activities, and goals to ensure smooth and effective functioning of a school or educational institution.

Key Points

• The main objective of institutional planning is the optimum utilization of living and nonliving resources.
• This means making the best possible use of both human resources, such as teachers and staff, and physical resources, like classrooms, equipment, and materials.
• Effective planning ensures that all these resources are coordinated and managed efficiently to support teaching and learning. It helps avoid wastage, reduces costs, and maximizes output.
• By focusing on optimal use, institutions can create a balanced environment where educational goals are met sustainably.

Hint

• Academic excellence is a key goal but depends largely on how well resources are utilized and planned for.
• Procurement of new assets is a part of resource management but not the primary objective of planning itself.
• Social recognition may be a byproduct of good planning but is not the main focus of institutional planning.

Hence, the correct answer is optimum utilization of living and nonliving resources.

Morning assembly is a daily ritual in many schools that brings students and staff together at the start of the day. It serves multiple purposes, including fostering a sense of community, setting a positive tone for learning, and reinforcing school values.

Key Points

• Promoting discipline among the children is one of the most important roles of the morning assembly.
• During this time, students learn to gather in an orderly manner, listen attentively, and participate respectfully in activities such as prayers, national anthem, or announcements.
• This routine cultivates habits of punctuality, self-control, and respect for rules, which are essential for maintaining a disciplined school environment.
• It also sets the stage for focused and calm behavior throughout the school day.

Hint

• Conducting cultural activities can be part of the assembly but is not its primary or daily purpose.
• Communicating information is one function of the assembly, but it is secondary to fostering discipline and unity.
• Being part of the timetable is a scheduling fact but does not explain its significance or educational purpose.

Hence, the correct answer is to promote discipline among the children.

Assessment of schools is an important process that helps maintain and improve the quality of education. It involves evaluating various aspects of the institution, such as teaching effectiveness, infrastructure, student performance, and management practices.

Key Points

• Knowing the strong and weak areas of the school is the primary reason why schools should be assessed.
• Through assessment, schools can identify what they are doing well and which areas require improvement.
• This insight allows them to develop targeted strategies for enhancing teaching methods, student learning outcomes, resource management, and overall school functioning.
• By addressing weaknesses and building on strengths, schools can create better learning environments and ensure continuous progress.

Hint

• Getting social recognition might be a benefit of good assessment but is not the fundamental purpose.
• Receiving funds from donors can depend on assessment results but is a secondary outcome rather than the main goal.
• Self publicity is not an educational reason for school assessment and is less important compared to improving quality.

Hence, the correct answer is to know the strong and weak areas of the school.

Improving teacher performance is essential for enhancing the quality of education and student learning outcomes.

Key Points

• Regularly deputing teachers to in-service courses is an effective way to improve their performance.
• In-service training provides teachers with opportunities to update their knowledge, learn new teaching methodologies, and acquire skills relevant to contemporary education.
• It helps teachers stay informed about curriculum changes, technology integration, and classroom management techniques.
• Continuous professional development through these courses enhances teachers' confidence and competence, which positively impacts student learning.
• This approach ensures that teachers remain motivated and equipped to address diverse learning needs.

Hint

• Providing incentives can motivate teachers but does not necessarily improve their skills or knowledge directly.
• Better service conditions improve job satisfaction but may not lead to specific performance enhancements.
• Giving less workload may reduce stress but could also reduce engagement and productivity if not managed well.

Hence, the correct answer is deputing all teachers to in-service course on regular basis.

Pairing or networking between neighboring schools is a strategy used to improve educational quality and optimize resource use.

Key Points

• Pairing two neighboring schools primarily helps in sharing resources for better learning.
• When schools collaborate, they can pool their physical materials, such as libraries, laboratories, and sports facilities, which might be limited individually.
• It also enables sharing human resources like specialized teachers or trainers, allowing students access to a wider range of subjects or extracurricular activities.
• This resource-sharing leads to more efficient use of available assets, reduces duplication, and enhances the quality of education provided.

Hint

• Reducing the burden of admission is not a direct effect of school pairing; admission is generally managed separately by each institution.
• Exchanging teachers may happen occasionally but is less common and more challenging logistically.
• Conducting common sports activities is a benefit of collaboration but is a smaller part of the broader resource-sharing objective.

Hence, the correct answer is sharing the resources for better learning.

The National Curriculum Framework (NCF) 2005 is a significant document that guides the design and implementation of school education in India.

Key Points

• NCF 2005 focuses on learning without burden, highlighting the need to reduce rote memorization and excessive syllabus pressure on students.
• It advocates for creating a joyful learning environment where children can explore concepts at their own pace and connect classroom learning with real-life experiences.
• This approach encourages understanding and critical thinking rather than just passing exams.
• By minimizing unnecessary academic pressure, the framework supports holistic development, including cognitive, emotional, and social growth.

Hint

• Recruiting qualified teachers is important but is a systemic goal rather than a specific focus of NCF 2005.
• Improving the ambience of the school contributes to better learning but is a secondary concern compared to curriculum and pedagogy.
• Promoting sports education is encouraged but is only one part of the overall holistic development recommended by NCF 2005.

Hence, the correct answer is learning without burden.

The Right of Children to Free and Compulsory Education Act (RTE), 2009, is a landmark legislation in India that ensures every child has the right to free and compulsory education.

Key Points

• According to the RTE Act, 2009, the age of children who should receive free and compulsory education is from six to fourteen years.
• This age range covers the primary and upper primary stages of schooling, ensuring that all children within this group attend school and receive basic education.
• The Act mandates that schools must admit children within this age range without charging tuition fees and provide them with quality education.
• This focus supports the fundamental goal of universalizing elementary education and reducing inequalities.

Hence**, the correct answer is 6 to 14 years.**

The National Education Policy (NEP) 2020 introduces significant reforms in the Indian education system, including changes to the structure and stages of schooling.

Key Points

• NEP 2020 recommends that children should be admitted to formal schooling at the age of six years.
• This aligns with research on child development, suggesting that formal education begins effectively when children are developmentally ready to engage in structured learning.
• Before this, the policy emphasized early childhood care and education for children aged three to six through a play-based and activity-centered curriculum in Anganwadis or pre-primary schools.
• Starting formal school at six allows children to build foundational skills through a gradual transition, preparing them for more academic learning in primary classes.

Hint

• Admitting children at age three or four corresponds more with early childhood education rather than formal schooling.
• Age five is closer but still falls within the early childhood education phase, which NEP addresses separately from formal schooling.

Hence, the correct answer is six years.

Correct answer: 4)

Concept:

• All matter has physical and chemical properties.
• Physical properties are characteristics that scientists can measure without changing the composition of the sample under study, such as mass, color, and volume (the amount of space occupied by a sample).
• Chemical properties describe the characteristic ability of a substance to react to form new substances; they include its flammability and susceptibility to corrosion.

Explanation:

• Density can be a very useful parameter for identifying an element.
• Density = mass/volume.
• Weight = mass x acceleration (of gravity).
• If two substances have the same density and the same mass then their volumes must also be the same otherwise they would not have the same density.

Conclusion:

Thus, density is most useful for determining whether two samples of metal are the same or not.

Correct answer: 1)

Concept:

• As gases have large intermolecular space present between them, these molecules have a greater amount of freedom.
• This is due to the fact that gases have the weakest intermolecular force present between molecules

Explanation:

• Intermolecular forces among molecules of chlorine are the weakest and those in the iodine are the strongest.
• Because At ordinary temperatures and pressure, among halogens, chlorine is a gas, bromine is a liquid and iodine is a solid.
• Water is a liquid so the intermolecular force of attraction is higher than chlorine gas.
• In a gas lower the intermolecular force, molecules are farthest apart from each other.

Conclusion:

Thus. at room temperature and 1 atm pressure, the molecules are farthest apart in chlorine.

Concept:

• The melting point of a substance is the temperature at which its solid and liquid phases are in balance.
• The boiling point of a substance is the temperature at which its vapor pressure equals the external pressure.

Explanation:

• Phosphorous and gallium are solid at 25°C and 1 atm pressure.
• Gallium is one of the metals that can be liquid near room temperature.
• Mercury is liquid at room temperature and noble gases are gases at room temperature.

Conclusion:

Thus, both Phosphorous and gallium are solids at 25°C and 1 atm pressure.

Correct answer: 4)

Concept:

• On heating, the liquid starts changing into its vapor state at the place where it is being heated.
• The liquid converts to gas which appears in the form of bubbles.

Explanation:

• On heating when water starts boiling, bubbles are formed which are basically air bubbles.
• These are bubbles formed from the dissolved gases in water.
• The solubility of a gas in water decreases when the temperature increases, and that is why the dissolved air bubbles come out from the water.
• Then, as the boiling point of water is reached, water vapor starts to form in the form of bubbles.
• The molecules gain enough energy to transition from the liquid phase to the gaseous phase. These bubbles are water vapor.

Conclusion:

Thus, during the process of boiling pure water in a beaker, the bubbles that initially rise to the surface are composed primarily of water vapors.

Correct answer: 4)

Concept:

• When molecules of water vapor transform from liquid phase to gaseous phase, the amount of energy required is termed enthalpy of vaporization.
• In order to reverse this process i.e., transforming molecules from gaseous phase to liquid phase, the amount of energy released is equal to the enthalpy of vaporization.

Explanation:

• Melting is an endothermic process because when heat absorbs then the physical state will change from solid to liquid.
• Boiling is endothermic, which means that the reaction absorbs energy. This is because it requires energy to turn a liquid into a gas.
• Ammonium thiocyanate is mixed with barium hydroxide. The mixture is stirred. Water is one of the products of the reaction. The reaction is endothermic.
• For condensation, the molecules are giving up their heat energy. When molecules give up heat energy, it is called exothermic. Condensation would be exothermic.

Conclusion:

Thus, the Condensation of water vapor is an exothermic process.

Correct answer: 4)

Concept:

• A chemical change is a type of permanent change and there is a change in both the physical and chemical properties of the compound.
• Burning of coal, digestion of food, and rusting are also some examples of chemical changes.
• But if the molecules are rearranged even though the composition remains the same then the change is physical and not chemical.

Explanation:

• Chemical changes are detected by noticing any change in color, odor, temperature or energy, precipitate formation, gases evolved, etc.
• Therefore, if a substance reacts and forms a new substance, is considered a chemical property.

Conclusion:

Thus, it reacts with hydrogen to form a gas is a chemical property.

Correct answer: 4)

Concept:

• Atomicity is the total number of atoms present in a molecule.
• Epsom salt, or magnesium sulfate heptahydrate, is a hydrous magnesium sulfate mineral with the formula MgSO₄·7H₂O.

Explanation:

• Molecules that are composed of more than four atoms are known as polyatomic molecules.
• **The total number of atoms represented by the compound, MgSO4.7 H2O are - =1+ 1+ (4 x 1) + (7 x 3)  **= 27 atoms

Conclusion:

Thus, the total number of atoms (atomicity) represented in a compound having formula MgSO4.7 H2O are 27.

CONCEPT

Average velocity:

The average of all the velocities of a body in a particular path is called the average velocity of the body. 

If the velocity at point A and point B is V and V' then the average velocity over the path AB

→Vavg = (V+V')/2 ---- (1)

Also, the average velocity can be defined as the total distance divided by the total time. 

→Vavg = Total distance/Total time taken. 

EXPLANATION:

In the question given above, 

The final velocity is V' = 16 ms-1.

The average velocity = Total distance/Total time = 60/6 = 10 ms-1

From equation (1) we get, 

⇒ Vavg = (V+V')/2

⇒ 10 = (V+16)/2

⇒ 20 = V+16

⇒ V = 20 - 16 = 4 ms-1

Hence the correct answer is option (1).

CONCEPT

The distance traveled by any body moving in a straight line

→S = ut ± ½gt² 

If the body was moving opposite to the ground then the sign would be negative 

Otherwise positive. 

Here, u = initial velocity of the body, t = time taken, g = acceleration due to gravity 

EXPLANATION 

Here, u = 4 m/s and t = 1 sec

∴ Height h = 4×1 + ½g(1)²

⇒ h = 4 + ½ × 10 = 9 m

Hence the correct answer is option (3).

CONCEPT

For a body moving in a straight line by the influence of gravity

Distance travelled,

→S = ut ± ½gt2 

Final velocity travelled,

→v = u + gt 

and v2 = u2 - 2gs

EXPLANATION 

In the first case, the ball starts from the rest 

∴ v = 0 + g×4 = 4g --- (1)

now third-fourth of the velocity is lost. So, the remaining is 1 - (3/4) = 1/4

So, the 1/4th of the velocity = (1/4) × 10×4 = 10 m/s

For the next case, i.e. when the ball is falling then the initial velocity is = 10 m/s

Now again, the distance travelled S = ut + ½gt2  = 10 × 2 + ½ × 10 × (2)2

 = 20+ 20

 = 40

Hence the correct answer is option (2).

The correct answer is Amplitude.

Key Points

• The softness of a sound is determined basically by its amplitude.
• The amplitude of the sound wave depends upon the force with which an object is made to vibrate.

 Additional Information

• Phase specifies the location or timing of a point within a wave cycle of a repetitive waveform.
• A time period (denoted by 'T') is the time taken for one complete cycle of vibration to pass a given point.
• Oscillation is defined as the process of repeating variations of any quantity or measure about its equilibrium value in time.

The correct answer is Conservation of energy.

Key Points

• The conservation of energy is a fundamental principle in physics, stating that the total energy of an isolated system remains constant over time.
• This principle implies that energy can neither be created nor destroyed, but it can be transformed from one form to another.
• Energy transformation examples include converting kinetic energy to thermal energy or potential energy to kinetic energy.
• The conservation of energy is a cornerstone of classical mechanics, thermodynamics, and quantum mechanics.
• This law is crucial for understanding a wide range of physical phenomena and engineering applications, from the motion of planets to the functioning of engines.

 Additional Information

• Conservation of momentum
• The conservation of momentum states that the total momentum of an isolated system remains constant if no external forces act on it.
• This principle is essential in collision analysis and rocket propulsion.
• Conservation of mass
• The conservation of mass states that mass in an isolated system is neither created nor destroyed by chemical reactions or physical transformations.
• It is a fundamental concept in chemistry and fluid dynamics.
• Conservation of mechanical energy
• The conservation of mechanical energy is a specific case of the conservation of energy, applicable when only conservative forces are acting.
• It states that the sum of kinetic and potential energy remains constant in an isolated system.

Concept:

Kinematics is the study of the motion of a system of bodies without directly considering the forces or potential fields affecting the motion.

Calculation:

Apply the equation of kinematic

v = u + at

Acceleration, 

a = ({v-u \over t})

= ({5 \over 5 \times 10^{-4}})

Force = mass × acceleration

= 4 × 10⁴ N.

The correct answer is option (4).

Correct answer: 1)

Concept:

• Allotropes of carbon are diamond, graphite, and buckminsterfullerene.
• The physical properties of these allotropes vary with their form.
• Carbon has an oxidation state of +4 as it is tetravalent and can form four covalent bonds.
• In carbon monoxide and in carbonyl complexes, the oxidation state of carbon is +2.
• Hence, the atomic mass of carbon is 12 g/mol.

Explanation:

• Natural carbon is formed by 98.93% of isotope C-12 with a mass of 12.01115 units, and 1.07% of isotope C-13 with a mass of 13.003355 units.
• Mass of one atom of carbon−14 is  14.0032420u.
• 14.00324 u is not possible for carbon atoms.

Conclusion:

Thus, The impossible mass of a Carbon atom is 12.00000 u.

Correct answer: 1)

Concept:

• A decomposition reaction occurs when one reactant breaks down into two or more products. This can be represented by the general equation: AB → A + B.
• The speed at which the decomposition occurs called the "rate of decomposition", depends on the temperature, moisture, and chemical composition of the organic matter.

Explanation:

• The decomposition of  Cl2O7, to form Cl2 and O2
• 2Cl2O7,→ 2Cl₂ +7O₂
• So the ratio of chlorine to oxygen will be 2:7.

Conclusion:

Thus, the ratio of Chlorine to Oxygen molecules in the product is 2:7.

Correct answer: 1)

Concept:

• In Rutherford's alpha scattering experiment, when we pass the alpha particle on gold foil there are a few observations which are recorded as;
• Most of the particles remain undeflected
• Some of the particles are deflected through a small angle.
• Very few particles are deflected by 1800 and came back
  

Explanation:

From Rutherford's alpha scattering experiment, it is concluded that:

• Atom has most space as empty.
• A very small mass is concentrated in a small area called a nucleus.
• The mass of an atom is concentrated at the central nucleus and the remaining part is empty.
• Therefore, when sent through the metal foil, the positively charged alpha particles go straight through the foil.

Conclusion:

Thus, the scattering of α-particles by thin metal foils establishes that the mass and positive charge of an atom are concentrated in a nucleus.

Concept:

• Displacement is the change in position of an object.
• SI unit is meter(m).
• The slope of displacement - time graph gives velocity.
• The area under the velocity-time graph gives displacement and the area under the acceleration - time graph gives the change in velocity.
• Velocity: The rate of change of displacement of a body is called the velocity of that body.
• Velocity is a vector quantity that has both magnitudes as well as directions.
• Acceleration: The rate of change of velocity is called the acceleration of the body.
• Acceleration is also a vector quantity.
• The slope of any velocity-time graph gives an acceleration of the body.
• Distance: The total path length between two points is called distance.

Explanation:

• Displacement time graph is the plot of motion of an object (s - Y-axis) against time (t - X-axis).
• Graph 3) is represents a diagonally straight line which means that the object is in uniform motion with time.
• Graphs 2) and 4) represent the non-uniform motion of the object, while a horizontal line parallel to the X axis shows that there is no motion in the object with time.

⇒ there is no change in position with respect to time, object is at rest.

∴ The correct answer is option 1)

Concept:

Energy is always conserved. Hence work done equals a change in potential energy.

Calculation:

W = mg(h₂ - h₁)

W = 2 × 10 × (10 - 1)

W = 180 J

Given:

Initial speed of the first bullet, u₁ = 160 m/s

Final speed of the first bullet, v₁ = 140 m/s

Initial speed of the second bullet, u₂ = 60 m/s

Formula Used:

Change in speed for the first bullet:

Δv₁ = u₁ - v₁

Change in speed for the second bullet:

Δv₂ = u₂ - v₂

Since the resistance is the same for both bullets, Δv₁ = Δv₂

Calculation:

We have,

⇒ Δv₁ = 160 - 140 = 20 m/s

For the second bullet,

⇒ Δv₂ = Δv₁

⇒ Δv₂ = 20 m/s

The final speed of the second bullet, v₂

⇒ v₂ = u₂ - Δv₂

⇒ v₂ = 60 m/s - 20 m/s

⇒ v₂ = 40 m/s

∴ The second bullet's speed after passing through plank is equal to 40 m/s.

Concept:

• The Law of Conservation of Energy states that the total energy of an isolated system remains conserved (constant), that is, it can neither be created nor be destroyed but it can be transformed from one form to another
• Energy always transforms from one form to another in this case energy is been transformed in the following order
• Potential energy is converted to kinetic energy & heat produce because of air resistance as it falls and as it hits the ground it been wasted as sound and heat energy.
• One of the most common examples of the Law of Conservation of Energy is: water is stored at a height with some potential energy, when the water starts flowing downward then its potential energy is converted into kinetic energy.
• (Kinetic;Energy = \frac{1}{2}m{v^2})
• (Potential;Energy = mgh)

Change in Gravitational potential energy = Kinetic Energy.

Calculation:

 

Initial Kinetic Energy

(KE_{\text{initial}} = \frac{1}{2} \cdot m \cdot u^2)

(KE_{\text{initial}} = \frac{1}{2} \cdot 0.2 \cdot 20^2 = 40 , J)

Potential Energy at the Top

(PE = m \cdot g \cdot h)

(PE = 0.2 \cdot 10 \cdot 15 = 30 , J)

Total Kinetic Energy at the River Level

When the stone hits the river, the total kinetic energy is:

(KE_{\text{total}} = KE_{\text{initial}} + PE)

(KE_{\text{total}} = 40 , J + 30 , J = 70 , J)

<br>

∴ The kinetic energy of the stone when it lands in the river is 70 J

Concept:

We can use the equations of motion to find the speed of the ball at the ground.

The ball is subject to gravity, and as it falls, its speed increases.

The final speed depends on the initial speed, the distance fallen, and the acceleration due to gravity.

We use the equation of motion: v^₂ = u² + 2gh

Where:

• v is the final velocity (speed at the ground),
• u = 8 m/s is the initial velocity (speed at the top of the window),
• h = 1.8 m is the distance fallen from the top of the window to the ground,
• g = 9.8 m/s² is the acceleration due to gravity.

Calculation:

Here,

• Mass of the ball m = 0.5 kg (not needed for this calculation)
• Initial speed at the top of the window, v₁ = 8 m/s
• Height of the top of the window from the ground, h = 1.8 m
• Acceleration due to gravity g = 9.8 m/s²

^{( v^2 = (8)^2 + 2 \times 9.8 \times 1.8 )}

( v^2 = 64 + 2 \times 9.8 \times 1.8 )

v² = 64 + 35.28 

v² = 99.28 

Take the square root of both sides to find v,

( v = \sqrt{99.28} \approx 9.96 , \text{m/s} ) (closer to 10m/s)

The correct answer is option (1).

Correct answer: 3)

Concept:

• The number of protons in the nucleus of the atom is equal to the atomic number (Z).
• The number of electrons in a neutral atom is equal to the number of protons.
• The mass number of the atom (M) is equal to the sum of the number of protons and neutrons in the nucleus.
• The number of neutrons is equal to the difference between the mass number of the atom (M) and the atomic number (Z).

Explanation:

The atomic number of tin is 50.

The number of protons is equal to the atomic number, hence protons = 50.

The number of protons is equal to the number of electrons in a neutral atom. but here in the Tin has 2+  charge, which means An has donated 2 electrons.

Hence, Sn2+ has 48 electrons in it.

Mass number = no. of protons + no. of neutrons

Hence, no. of neutrons = 119 - 50 = 69

Conclusion:

Thus, Sn2+ has 50 protons, 69 neutrons, and 48 electrons.

CONCEPT:

Formation of Ionic Compounds Based on Valence Electrons

• Atoms form ionic compounds by transferring electrons to achieve stable electronic configurations (usually an octet).
• The total positive and negative charges must balance in the compound.
• Metals (like atom T with 3 valence electrons) tend to lose electrons and form cations.
• Non-metals (like atom S with 6 valence electrons) tend to gain electrons and form anions.

EXPLANATION:

• Given:
• Atom T has 3 valence electrons → likely forms T³⁺ by losing 3 electrons.
• Atom S has 6 valence electrons → likely forms S²⁻ by gaining 2 electrons.
• To form a neutral compound, the total positive and negative charges must be equal.
• We find the least common multiple (LCM) of the charges 3 and 2, which is 6.
• So, to get +6 charge: use 2 T³⁺ ions → 2 × (+3) = +6
• To get −6 charge: use 3 S²⁻ ions → 3 × (−2) = −6
• Thus, the formula that balances the charges is T₂S₃.

Therefore, the correct formula of the ionic compound is T₂S₃.

Correct answer: 2)

Concept:

• Weight is the force of gravity on an object.
• Mass is a property of matter.
• Vacuum permittivity is defined as the vacuum's ability to permit an electric field or the capacity of the electric field to travel through a vacuum.

Explanation:

• There are three basic properties that describe an elementary particle: 'mass', 'charge', and 'spin'. Each property is assigned a number value.
• The permittivity of free space is a physical constant that reflects the ability of electrical fields to pass through a classical vacuum.
• Though the mass of an object remains constant, its weight varies according to its location.
• No matter how you measure it, the speed of light is always the same. The speed of light in free space is constant.

Conclusion:

Thus, the weight of an object is not a constant.

Concept:

Force on an object is given by

F = mg

where m is the mass of the object and g is the acceleration due to gravity.

Calculation:

Given:

Mass of a boy = 60 kg.

Weight of a school bag = 30 N.

F = mg.

Substituting the given values in the formula,

⇒ F = 60 × 10

⇒ F = 600 N

Now,

The total force exerted on the ground by a boy,

⇒ F = 600 + 30

⇒ F = 630 N

The correct answer is option (3).

Calculation:

Given that 

m = 120 kg, g = 10 m/s²,  A = 40 cm²

We know that 

F = ma

Therefore, weight

W = 120 kg ×  10 m/s² = 1200 N

Now, 

Pressure = Force / Area

Pressure = 1200/(40 × 10^-4)

Pressure = 3 × 10⁵ N/m²

Concept:

Force acting on the object is given by

F = mg

where m is the mass and g is the acceleration due to gravity.

Calculation:

F₂ = mg

= 2000 × 10

= 20000 N

Area = 30x = 30 × 30 cm² = 900 × 10^-4 m²

({F_1\over A_1} = {F_2 \over A_2})

F₁ = ({F_2 \times A_1 \over A_2})

= ({20000\times 9 × 10^{-4}\over 900 × 10^{-4}})

= 200 N

The correct answer is option (1).

Concept:

The relative density of metal in this case is given by,

RD = (\text{weight in the air }\over \text{change in weight in water})

Calculation:

The relative density of metal in this case is given by

RD = ({0.096 \over 0.096 - 0.064})

= 3

The density of metal = RD × ρ 

= 3 × 10³  kg/m³

The correct answer is option (3).

Correct answer: 1)

Concept:

• Atoms with the same number of protons but different numbers of neutrons are called isotopes.
• They share almost the same chemical properties, but differ in mass and therefore in physical properties.

Explanation:

• Carbon occurs naturally in three isotopes: carbon 12, which has 6 neutrons (plus 6 protons equals 12), carbon 13, which has 7 neutrons, and carbon 14, which has 8 neutrons.
• Every element has its own number of isotopes.
• So, isotopes of carbon differ by atomic mass.

Conclusion:

Thus, there are two stable isotopes of Carbon. They differ with respect to atomic mass.

Correct answer: 3)

Concept:

• The Law of Conservation of Mass dates from Antoine Lavoisier's 1789 discovery that mass is neither created nor destroyed in chemical reactions.
• In other words, the mass of any one element at the beginning of a reaction will equal the mass of that element at the end of the reaction.

Explanation:

• Since chemical reactions are just the rearrangement of the atomic bonds between the forming atoms in a substance, they are not created nor destroyed in this process.
• This rearrangement changes the physical and chemical properties of the substance but the number of atoms keeps constant in that system. Since the mass of the atoms does not change, the mass of the reactants and the products is the same.

Conclusion:

 Thus, the mass of the sealed flask after heating will be 140 g.

Correct answer: 2)

Concept:

• When ethene is burnt in excess of oxygen it gives carbon dioxide and water.
• This reaction is an exothermic reaction and produces heat.

Explanation:

First, we will balance the Carbon atoms.

After balancing the equation becomes: 

C₂H₄+O₂→2CO₂+H₂O

Then the Hydrogen atoms are balanced.

After balancing the equation becomes: C₂H₄+O₂→2CO₂+2H₂O

Finally, Oxygen atoms are balanced.

After balancing the equation becomes:

C₂H₄ + 3O₂→2CO₂+2H₂O

So, one mole of C₂H₄ will form two moles of CO₂.

Conclusion:

Thus, one mole of C2H4 will form two moles of CO2

CONCEPT:

Buoyancy and Archimedes’ Principle

• To float, the weight of the object + person must equal the weight of the water displaced.
• Archimedes’ Principle:

Buoyant force = weight of displaced water = ρ_water × V_displaced × g

• Total weight acting downward = weight of person + weight of wooden block
• We assume the entire block is submerged when the person stands on it to keep both entirely above water.

EXPLANATION:

• Let V be the volume of the wooden block.
• Mass of block = ρ_block × V = 800 × V (in kg)
• Total downward force (weight) =
• Weight of person = 50 × g
• Weight of block = (800 × V) × g
• Total = (800V + 50) × g
• Buoyant force = ρ_water × V × g = 1000 × V × g
• Equating both (for equilibrium):
• Cancel g on both sides:
• Simplifying: 1000V - 800V = 50 ⇒ 200V = 50 ⇒ V = 0.25 m³

Therefore, the correct answer is Option 1) 0.25 m³.

Ohm’s law:

At constant temperature, the current flowing through a resistance is directly proportional to the potential difference across its end.

I ∝ V

(I=\frac{1}{R}\times V)

V = I R 

Where V = the potential difference, R = resistance, and I = current flowing.

Ohmic resistance: The resistance that follows ohm’s law is called ohmic resistance.

Additional Information All resistances don’t follow ohm’s law.

Limitations of Ohm’s law

1.    For applying Ohm’s law. the physical conditions such as temperature, dimensions and the connections of the wire or branch or circuit must remain constant. 2.    It is applicable only for liner and bilateral elements or circuits. It is not applicable for non-linear and unilateral elements and circuits such as diodes, Zener diode, rectifiers, voltages regulators etc. 3.    It is unsuitable for non-metallic conductors such as silicon carbide. 4.    The complicated network cannot be solved quickly by this law.

The correct answer is 96 V

Given:

Resistance(R)= 24 Ω= 24 Ω.

Current (I) = 4 A.

Potential difference(V) = ?

Calculation:

Using Ohm's law

(V=IR)

Substitute the above values:

V = 4×24

Potential difference(V) = 96 V.

Concept:

A material's electrical resistivity is a measure of how strongly it opposes the flow of current. The ohm meter (m) is the SI unit of electrical resistivity.

Calculation:

Given:

I = 2A

d = 0.2 cm   = 0.002 m

∴ r =  0.001 m

L = 2.0 m

V = 40 v

We know that,

Cross-section Area (A) =  πr²

= 3.141 × 0.001²

= 0.003141 m2                                    

Resistance (R) = ({V \over I})

= 20 ohm

Now,

The resistivity of material ( ρ ) = ({RA \over L})

= ({20 \times 0.003141 \over 2})

=  0.03141 ohm - m

The correct answer is option (3).

Concept:

Calculation:

Given, length l = 90 cm

= 90 × 0.01 m

= 0.9 m

Specific resistance ρ =  1.57×10-8 Ω−m

External diameter D₁ = 1.0 × 10⁻² m

Internal diameter D₂ = 0.8 × 10⁻² m

As the resistance of tube R = ({\rho l \over A})

R= ({\rho l \over\frac{\pi}{4} [D^2_1 - D^2_2]})

= ({})({4 × 1.57×10^{-8} × 0.9 \over\frac{22}{7} (1.0^2 - 0.8^2) × 10^{-4} })

= ({})({7 × 4 × 1.57×10^{-8} × 0.9 \over 22 (1.0^2 - 0.8^2) × 10^{-4} })

= ({})(39.564×10^{-8} \over 7.92 × 10^{-4} )

= 4.99 × 10^{(- 4)} ≈ 500 × 10^(-6)

= 500 μΩ

The correct answer is option (4).

Concept:

• Resistance - is the opposition offer in the flow of current. It's Unit is ohm(Ω )
• Resistances in series:

• When two or more resistances are connected one after another, the same current flows through them are called resistances in series.
• The net resistance/equivalent resistance (R) of resistances in series is given by:
• Equivalent resistance,
• ​
  

⇒ R = R1 + R2

• Resistances in parallel:

• When the terminals of two or more resistances are connected at the same two points and the potential difference across them is equal is called resistances in parallel.
• The net resistance/equivalent resistance(R) of resistances in parallel is given by(⇒ R = \frac{R_1R_2}{R_1+R_2})

 

Calculation:

R1 = 6 Ω  , R2 = 9 Ω  are in series

⇒ R1 + R2 = 15 Ω 

R1 and R2 collectively are in parallel with R3 = 15 Ω.

⇒ (\frac{1}{R1+R2} + \frac{1}{15}) = (\frac{2}{15}) 

⇒ 7.5 Ω 

∴ **The correct option is 2)**R=1R1+1R2+.....Unknown node type: spanUnknown node type: span

Concept :

Resistance - is the opposition offered in the flow of current. It's Unit is ohm (Ω )

Ohm's Law - states that current through two points in a conductor is directly proportional to the voltage across two points.

 (V = \frac{I}{R})

There are mainly two ways of the combination of resistances:

1. Resistances in series:

• When two or more resistances are connected one after another, the same current flows through them are called resistances in series.
• The net resistance/equivalent resistance (R) of resistances in series is given by:
• Equivalent resistance,

​

⇒ R = R1 + R2

2. Resistances in parallel:

• When the terminals of two or more resistances are connected at the same two points and the potential difference across them is equal is called resistances in parallel.
• The net resistance/equivalent resistance(R) of resistances in parallel is given by:

<br>

(⇒ R = \frac{R_1R_2}{R_1+R_2})

 

Calculation:

We know that 

V = I _eq

⇒ R_eq = V/I

⇒ R_eq = (\frac{45}{0.45}) = 100 Ω 

⇒(\frac{1}{100})  =  (\frac{1}{300}+\frac{1}{R2}) 

⇒ R₂ = 150 Ω 

∴ The correct answer is option 1).

Concept:

• Magnetic field intensity -  is a measure of how strong or weak any magnetic field is.
• The SI unit of B is Ns/(Cm) = Tesla (T)
• Lorentz Force -  The force a magnetic field exerted on a charge q moving with velocity v is called magnetic Lorentz force and it is represented by

​F_B = qvBSinθ.

 

Given: 

Magnetic field intensity(B)= 0.80T

Particle = He2+ 

Angle of interaction(θ) = 90º 

Charge on particle(q) = 1.6× 10-19

Velocity of particle(v)= 105 m/s

∵ F_B = qvBSinθ 

⇒ FB = qvBSin90º

⇒ FB = 2× 1.6× 10-19 × 105 × 0.80× 1

⇒ F_B = 2.56 × 10-14 N

∵ Option 3) is the right option.

Correct answer: 2)

Concept:

• The number of moles in a given mass of a substance can be found by dividing the mass by the formula mass expressed in g/mol.
• The value of the mole is equal to the number of atoms in exactly 12 grams of pure carbon-12 (12 g C = 1 mol C atoms = 6.022 × 10²³ C atoms).

Explanation:

Given,

Mass of SbF₃ = 179 g/mol

Mass of CCl₂F₂ = 121 g/ mol

Moles of 1 gram of freon = (\frac{Mass}{Molar ; mass})

= (\frac{1}{121})

= 0.0083

According to the balanced equation, 

2CCl4 + 2SbF3  → 3CCl2F2 + 2SbCl3

3 moles of CCl2F2  are produced from 2 moles of SbF3

So, 0.008 mole of CCl2F2 will produced from moles (\frac{2}{3}\times 0.0083) moles of SbF3

=0.0055

Mass of SbF3 = 0.0055 x 179

= 0.986 g

Conclusion:

Thus, SbF3 are needed to produce one gram of Freon-12, CCl2F2 = 0.986 g

Correct answer: 4)

Concept:

• The ability of carbon to reduce a metal is based upon its relative reactivity as compared to metal.
• Carbon can only reduce those metal oxides whose metals have less reactivity than carbon.

Explanation:

• Some metals involve the reduction of metal oxide by carbon at high temperatures.
• This process is known as smelting.
• Metal in the middle of the reactivity series, such as Zn, Fe, Pb and which are electropositive in nature are reduced to metals by using Carbon as a reducing agent.

Conclusion:

Thus, Some metals can be obtained by heating the metal oxide with Carbon. This process is called reduction.

Correct answer: 4)

Concept:

• Precipitation reactions occur when cations and anions in an aqueous solution combine to form an insoluble ionic solid called a precipitate.
• The precipitation reaction undergoes in aqueous solutions or medium in an ionic state.
• The reaction takes place between ions present in the aqueous solutions, forming the product.

Explanation:

• The reaction between silver nitrate (AgNO₃) and sodium chloride (NaCl), results in the formation of silver chloride (AgCl) which is an insoluble salt.

            AgNO3 + NaCl → AgCl↓ +NaNO3

• It is a Precipitation reaction.

Conclusion:

Thus, AgNO3 + NaCl → AgCl↓ +NaNO3 is an example of a Precipitation reaction.

Concept:

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. 

Calculation:

B = ({N \mu_0 I \over 2r})

Given:

r = 40 mm

N = 100 turns

I = 20 mA

B = (100 \times 4\pi \times 10^{-7}\times 20 \times 10^{-3} \over 2 \times 40 \times 10^{-3} )

= 0.00003141592 T

= 3.14×10-5 T

The correct answer is option (1).

CONCEPT:

Magnetic Induction in a Solenoid

• The magnetic field (B) at the center of a long solenoid is given by the formula:

B = μ₀ × n × I

• Where:
• B = Magnetic induction (T)
• μ₀ = Permeability of free space = 4π × 10⁻⁷ H/m
• n = Number of turns per meter = N / L
• I = Current (A)

EXPLANATION:

• Given:
• N = 2000 turns
• L = 0.5 m
• B = 0.08 T

n = N / L = 2000 / 0.5 = 4000 turns/m

0.08 = (4π × 10⁻⁷) × 4000 × I

I = 0.08 / [(4π × 10⁻⁷) × 4000]

I = 0.08 / (16π × 10⁻⁴)

I ≈ 0.08 / (0.005027) ≈ 15.91 A ≈ 16 A

Therefore, the correct answer is 16 A