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Q57 (NDA-I/2012) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Thermal physics Answer Verified

Body A of mass 2 kg and another body B of mass 4 kg and of same material are kept in the same sunshine for some interval of time. If the rise in temperature is equal for both the bodies, then which one among the following in this regard is correct?

Result
Your answer: —  Â·  Correct: A
Explanation

The quantity of heat absorbed by a body is governed by the formula Q = mcΔT, where 'm' is the mass, 'c' is the specific heat capacity, and 'ΔT' is the change in temperature [1]. Since both bodies A and B are made of the same material, they share the same specific heat capacity. The problem states that the rise in temperature (ΔT) is equal for both bodies. Consequently, the heat absorbed (Q) becomes directly proportional to the mass (m) of the body. Body B has a mass of 4 kg, which is exactly double the 2 kg mass of Body A. Therefore, to achieve the same temperature rise, Body B must absorb twice the amount of heat compared to Body A. This relationship confirms that heat absorption is not independent of mass but scales linearly with it when other factors are constant.

Sources

  1. [1] https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:thermodynamics/x2eef969c74e0d802:heat-capacity-and-calorimetry/v/heat-capacity
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