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Physics

Three metals, A, B and C, are supplied with the same quantity of heat. Their masses are in the ratio 2 : 3 : 4. If they show the same rise in the temperature, then the ratio of their thermal capacities will be:

  1. 1:1:1
  2. 4:3:2
  3. 2:3:4
  4. 2:3:1

Calorimetry

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Answer

1:1:1

Reason — For each metal, the heat supplied is QQ and the temperature rise is ΔT\Delta T, so

Q=mcΔT    mc=QΔT.Q = m c \, ΔT \; ⟹ \; m c = \frac{Q}{ΔT}.

Because both QQ and ΔTΔT are identical for A, B and C, the product mcm c i.e., the thermal (heat) capacity, is the same for all three metals. Hence their thermal capacities are in the ratio 1:1:11:1:1.

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