Physics

Two bodies A and B are of the same material but A has twice the mass of B. Both are heated up to the same temperature. Identify the correct statement ?

  1. Heat absorbed by A is half of that by B.
  2. Heat absorbed by A is equal to that by B.
  3. Heat absorbed by A is twice of that by B.
  4. Heat absorbed by A is four times that by B.

Calorimetry

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Answer

Heat absorbed by A is twice of that by B.

Reason — The heat absorbed by a body is given by

Q = mcΔt

where

  • m is mass,
  • c is specific heat capacity, and
  • Δt is the change in temperature.

Since both bodies are made of the same material, their specific heat capacity is the same and they are heated through the same temperature change, Δt is also the same.

Therefore, heat absorbed is directly proportional to mass and since body A has twice the mass of body B so it absorbs twice the amount of heat.

Hence, heat absorbed by A is twice of that by B.

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