Search Previous Year Questions

The correct answer is 90°.

Key Points

• The force experienced by a current-carrying conductor placed in a magnetic field is given by the formula F = BILsinø, where B is the magnetic field strength, I is the current flowing through the conductor, L is the length of the conductor, and ø is the angle between the direction of the current and the direction of the magnetic field.
• The maximum force is experienced when the angle is 90^o, but in this case, the sinø becomes 1, which is the maximum value.
• However, in practical scenarios, it is not always possible to have the conductor perpendicular to the magnetic field.
• When the angle is 0 degrees, the force experienced is zero because sinø is zero.
• When the angle is 180 degrees, the force experienced is also zero because sinø is again zero.
• Therefore, the maximum force is experienced when the angle between the direction of the current in the conductor and the direction of the magnetic field is 90 degrees because the sin90 is the maximum value of 1.

Additional Information

• When the angle between the direction of the current in the conductor and the direction of the magnetic field is 30 degrees, the sinø is 0.5, which is less than the maximum value of 1.
• Therefore, the force experienced will be less than the maximum force.
• When the angle between the direction of the current in the conductor and the direction of the magnetic field is 60 degrees, the sinø is 0.866, which is less than the maximum value of 1.
• Therefore, the force experienced will be less than the maximum force.

The correct answer is black.

Key Points

• The reason behind the blue colour of the sky is Rayleigh scattering, which occurs due to the scattering of sunlight by the molecules in the Earth's atmosphere.
• As there is no atmosphere in the absence of it, there would be no scattering of sunlight, and the sky would appear black.
• Red and white colours are also not possible as they are also the result of scattering of light in the atmosphere, and in the absence of it, the sky would not appear in any colour.
• The black colour of the sky would also mean that stars would appear brighter and the contrast between them and the sky would be much clearer.
• The concept of the sky being black in the absence of atmosphere is also applicable to other planets and moons without an atmosphere, such as the Moon and Mercury.

Additional Information

• The scattering of light by particles up to a tenth of its wavelength that happen in its path without causing an energy loss or wavelength change is known as Rayleigh scattering.
• Red colour appears during sunrise and sunset when the sunlight passes through more atmosphere, scattering the shorter blue and green wavelengths and allowing the longer red wavelengths to pass through.
• White colour appears when sunlight is scattered equally by all the molecules in the atmosphere, making the sky appear as a bright white.

The logic followed here is:

Logic: (1^st number × 2) + 3 = 2^nd number.

Now,

For, 8 ∶ 19

⇒ (8 × 2) + 3

⇒ 16 + 3 = 19.

For, 5 ∶ 13

⇒ (5 × 2) + 3

⇒ 10 + 3 = 13.

Similarly, for 7 ∶ ?

⇒ (7 × 2) + 3

⇒ 14 + 3 = 17.

Hence, the correct answer is "Option 4".

The correct answer is Chandigarh.

Key Points

• The High Court of Punjab and Haryana was established on 20^th April 1955, and it started functioning in Chandigarh from 17^th August 1955.
• This High Court has 85 sanctioned judges, 64 of them are Permanent Judges and 21 Additional Judges, including the Chief Justice.
• Chandigarh is a Union Territory and serves as the capital of both Punjab and Haryana, and hence it was chosen as the location for the common High Court.

Additional Information

• The Indian High Courts are the highest courts with appellate authority over all Indian states and union territories.
• Most high courts handle writ petitions in accordance with Articles 226 and 227 of the constitution, as well as appeals from subordinate courts.
• Another original jurisdiction of a high court is writ jurisdiction.
• Every state has judicial districts that are governed by district and sessions judges.
• All Indian courts, including high courts, are constrained by the decisions and directives of the Supreme Court of India by precedence under Article 141 of the constitution.
• Firozpur is a city in Punjab and has a district court.
• Karnal is a city in Haryana and has a district court.
• Faridabad is a city in Haryana and has a district court.

The correct answer is Kidney.

Key Points

• The Bowman's capsule is a part of the nephron, which is a functional unit of the kidney responsible for filtering waste products from the blood and producing urine.
• "Bowman's space," which denotes the start of the urinary space and is adjacent to the proximal convoluted tubule of the nephron, is enclosed by Bowman's capsule.
• Large proteins and cells remain in the blood as long as the kidney filter is functioning properly, while small molecules from the blood can freely enter Bowman's space.

Additional Information

• The lungs are responsible for exchanging gases (oxygen and carbon dioxide) during respiration. 
• Within our chest cavity, the lungs are located on either side of the heart.
• The stomach is responsible for breaking down food through mechanical and chemical digestion. 
• On the left side of our body, the stomach is located in the upper abdomen.
• The liver is responsible for producing bile, which aids in digestion and absorption of fats.
• It also plays a role in detoxification of the blood.

The correct answer is Si.

Key Points

• Catenation refers to the ability of an element to form bonds with other atoms of the same element, resulting in the formation of long chains or rings.
• Carbon is well known for its catenation property, which is why it can form a vast number of organic compounds.
• Silicon (Si), shows a catenation property like carbon.
• This is because silicon has four valence electrons, like carbon, and can form covalent bonds with other silicon atoms.

Additional Information

• Neon (Ne) does not show catenation property as it is a noble gas and does not readily form bonds with other atoms.
• Oxygen (O) can form limited catenation, but not to the same extent as carbon or silicon.
• This is because oxygen has only two valence electrons and can only form two covalent bonds with other oxygen atoms.
• Potassium (K) is a metal and does not show catenation property as metals typically lose electrons to form positive ions and do not form covalent bonds with other atoms of the same element.

The correct answer is Both (a) and (b)

Key Points

• The statement (b) helps us to understand the blue colour of a clear sky.
• When sunlight passes through the atmosphere, the fine particles present in the air scatter blue light more strongly than red.
• This is known as Rayleigh scattering and it is the reason why the sky appears blue during the day.
• The wavelength of blue light is shorter than that of red light, so it gets scattered more easily by the particles in the air.
• The wavelength of red light is approximately 1.8 times longer than that of blue light.
• Because of this, blue light which has shorter wavelengths than red is more severely scattered by fine air particles when it travels through the atmosphere.
• The sky appears blue when the scattered blue light reaches our sight.
• The difference in wavelengths between red and blue light is important in other contexts, such as the formation of rainbows.

Additional Information

• When sunlight is refracted via raindrops and catches an observer's eyes, a rainbow is created.
• Instead of the frequently portrayed "teardrop" shape, the majority of raindrops are spherical.
• This spherical form creates the ideal environment for the appearance of a rainbow.

The correct answer is India.

Key Points

• India defeated Japan 5-3 in the bronze medal match of the Men's Hockey Asia Cup 2022 held in Jakarta, Indonesia.
• This was India's second consecutive bronze medal in the tournament, having won it in 2017 as well.
• South Korea won the gold medal by defeating Pakistan 3-2 in the final.
• Japan finished fourth after losing to India in the bronze medal match.
• Pakistan won the silver medal after losing to South Korea in the final.

Additional Information

• India won the first Men's Hockey 5s Asia Cup 2023 at Salalah, Oman, after defeating Pakistan in a penalty shootout.
• The victory also served as Asia's means of qualifying for the 2024 FIH Men's Hockey5s Oman World Cup.
• After defeating Oman 7-3, Pakistan advanced to the final.

Given: Seven boxes P, Q, R, S, T, U and V are kept one over the other but not necessarily in the same order.

1. S is kept third from the bottom.

2) R is kept third from the top.

3. Only V is kept between P and S.

 

4) Only three boxes are kept between T and V.

T is kept immediately below U. Q is kept immediately above S.

 

So, there are 'Three' boxes are kept between U and S.

Hence, the correct answer is "Option 1".

Shortcut Trick

Relative Speed (Same direction) = 70 − 56 = 14 km/h = 14 × (5/18) m/s.

Total Length (P + Q) = Speed × Time = (14 × 5/18) × 90 = 350 m.

Length of P = 350 − 170 = 180 m.

Relative Speed (Opposite direction P & R) = 70 + 74 = 144 km/h = 144 × (5/18) = 40 m/s.

Time to cross R = (Length P + Length R) ÷ Speed = (180 + 220) ÷ 40 = 400 ÷ 40 = 10 seconds.

∴ The correct answer is 10 seconds.

Alternate Method

Given: Speed P = 70 km/h, Speed Q = 56 km/h, Length Q = 170 m, Time₁ = 1.5 min = 90 s, Length R = 220 m, Speed R = 74 km/h.

Formula Used: Distance = Relative Speed × Time; km/h to m/s conversion = × 5/18.

⇒ Relative Speed (P and Q) = 70 − 56 = 14 km/h = 14 × (5/18) = 70/18 m/s.

⇒ Total Distance = L_P + 170 = (70/18) × 90

⇒ L_P + 170 = 350

⇒ L_P = 180 m.

⇒ Relative Speed (P and R) = 70 + 74 = 144 km/h = 144 × (5/18) = 40 m/s.

⇒ Time taken to cross R = (L_P + L_R) ÷ Relative Speed = (180 + 220) ÷ 40

⇒ Time = 400 ÷ 40 = 10 seconds.

∴ The correct answer is 10 seconds.

Additional Information

Relative Speed Concept

When two objects move in the same direction, relative speed = S₁ − S₂. When they move in opposite directions, relative speed = S₁ + S₂.

Crossing Length Rule

Total distance covered while one train crosses another is always the sum of their lengths (L₁ + L₂), regardless of direction.

Conversion Units

To convert speed from km/h to m/s, multiply by 5/18. To convert m/s to km/h, multiply by 18/5.