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The correct answer is option 3 .

Key Points

• As the diameter of the objective lens increases, the telescope's resolution improves because it can capture more light and resolve finer details. Hence option 3 is correct

Relation Between Resolving Power and Objective Lens Diameter:

• The angular resolution (θ) is governed by the phenomenon of diffraction and is inversely proportional to the diameter (θ ∝ λ/D). However, the Resolving Power of a telescope is defined as the reciprocal of angular resolution and is directly proportional to the diameter:
• Resolving Power ∝ D/λ
• Where,
• λ: Wavelength of light used.
• D: Diameter of the objective lens (aperture).
• Effect of Increasing Diameter:
• A larger objective lens collects more light and reduces diffraction effects, allowing the telescope to resolve finer details.
• Thus, the resolution increases as the diameter of the objective lens increases.
• Resolution primarily depends on the diameter of the lens and not its focal length.

This Question deleted by BPSC.

• 2023 Census data has not yet been released, so we don’t have official figures

The correct answer is option 2. 

Key Points

• At 100°C, both air and steam are at the same temperature, but burns caused by steam are significantly more severe than those caused by air. This is due to the latent heat of vaporization associated with steam. Hence, option 2 is correct
• Latent Heat of Vaporization:
• Latent heat of vaporization is the amount of heat energy required to convert 1 gram of a liquid (water) into vapor (steam) at a constant temperature. For water, this value is 540 cal/g at 100°C. This energy is stored in the steam and released upon condensation.
• Why Steam is More Dangerous Than Air at 100°C:
• When steam comes into contact with the skin, it condenses into water on the surface of the skin. During this process, the latent heat of vaporization stored in the steam is released into the skin in addition to the heat already carried by the steam at 100°C.
• Air, on the other hand, does not undergo a phase change and only transfers heat by conduction.
• Comparison of Heat Transfer:
• Steam at 100°C: Transfers heat due to its temperature and also releases additional heat due to the latent heat of condensation. This results in more severe burns.
• Air at 100°C: Transfers only the heat due to its temperature, making the burn less severe.

The correct answer is option 1

Key Points

• Nagpur is not historically known as a center for Buddhist learning in ancient times.
• However, it holds significant modern importance for Buddhism due to Dr. B.R. Ambedkar's conversion to Buddhism in 1956 at Deekshabhoomi, a major event in Buddhist revival in India. Hence, option 1 is correct.

 Nalanda:

• Located in present-day Bihar, Nalanda was one of the most renowned Buddhist universities, established during the Gupta dynasty (circa 5^th century CE).
• It attracted scholars from countries like China, Korea, and Tibet (e.g., Xuanzang and I-Tsing).

 Vikramshila:

• Situated in modern-day Bihar, Vikramshila was established by Pala king Dharmapala (8^th–9^th century CE).
• It served as a major Buddhist learning center, focusing on Vajrayana Buddhism and Tantric studies.

Valabhi:

• Located in modern Gujarat, Valabhi was a prominent Buddhist educational institution in Western India.
• It thrived during the Maitraka dynasty (6^th–8^th century CE) and was known for its teachings in both Hinayana and Mahayana Buddhism.

The Correct answer is Option 3. 

Key Points

Number the chairs from left to right as 1 through 15.

Find P’s seat (the middle one).

With 15 chairs, the middle seat is chair #8 (since there are 7 chairs on each side).

Find Q’s seat (12^th from the right).

The rightmost chair (chair #15) is “1^st from the right.”

So “12^th from the right” is chair #4 from the left.

Chairs lie between seat P and seat Q is 3 

Hence Correct answer is Option 3.

The Correct answer is Option 3. 

Key Points

• B is son of A

Since B is explicitly called the “son” of A and A is female, A must be B’s mother.

• C is brother of B

This means C and B share the same parents. Hence C’s mother is also A.

• D is father of C

Because C and B share parents, D must be the father of both C and B.

• Conclusion

A (the mother) and D (the father) are the parents of B and C. Since A is female, her relationship to D is wife.

• Hence Correct answer is Option 3.

The option 4 is correct answer

Key Points

• Context of the Act
• Introduced by Lord Lytton, the Viceroy of India (1876-1880).
• Aimed at curbing the influence of vernacular newspapers, which were increasingly critical of British policies.
• The British government feared that Indian newspapers were spreading nationalist ideas and inciting rebellion.
• Provisions of the Act
• Applied only to vernacular newspapers, not to English newspapers (which were mostly controlled by the British).
• If a vernacular newspaper published any material that the government deemed seditious or objectionable, the government had the power to:
• Confiscate the printing press of the newspaper.
• Seize printed materials before publication.
• Impose heavy fines and take legal action against the publishers.
• Publishers were required to submit proofs of their publications to the British authorities before printing.
• Impact of the Act
• The Act was known as the “Gagging Act” because it effectively silenced Indian-owned newspapers.
• It suppressed freedom of expression, particularly for Indian journalists.
• Several prominent Indian newspapers, such as the Amrita Bazar Patrika, were forced to switch to English to escape its restrictions.
• Led to widespread resentment against British rule, especially among Indian intellectuals and political leaders.
• Eventually repealed in 1882 by Lord Ripon, the next Viceroy, due to public criticism.
• Hence ,option 4 is correct

This question is deleted by BPSC 

Key Points

• There is no snowfall in Uttar Pradesh after the separation of Uttarakhand. None of the options are correct, So the question is Deleted
• The snow line refers to the altitude above which snow remains throughout the year. In India, the snow line varies based on factors like latitude, topography, and climate.
• Snow Line in Uttar Pradesh (Uttarakhand region included)
• In the Himalayan region of Uttar Pradesh (now mostly Uttarakhand), the average snow line is around 4500–5000 meters.
• This is lower than the snow line in the Karakoram and Ladakh ranges, where it is around 5500–6000 meters due to drier conditions.
• The higher the latitude, the lower the snow line (e.g., in the Alps, the snow line is around 3000 m).

The option 1 is correct answer 

Key Points 

• The All India Trade Union Congress (AITUC) was formed to represent the interests of workers in India and was the first national trade union center in the country. It played a crucial role in the labour movement during the British colonial period.
• Formation of AITUC
• The AITUC was established in 1920 with the efforts of prominent labor leaders such as Lala Lajpat Rai, V.V. Giri, and M. Singaravelu. Hence, option 1 is correct
• The main objective was to bring together workers' unions from across India to unite the working class in order to fight for their rights and welfare.

The correct answer is option 1 

Key Points

• During the Delhi Sultanate, the designations 'Muqaddam' or 'Chaudhuri' were used for the village headmen. Hence ,option 1 is correct
• Explanation:
• Muqaddam/Chaudhuri were titles given to the headman or village headman in rural areas.
• They were responsible for maintaining order, ensuring the collection of revenue, and acting as intermediaries between the villagers and the government authorities.
• They played a key role in the administration of villages under the Delhi Sultanate and were often appointed by the state to help in the collection of taxes and maintaining law and order.