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Question

Two circular disc A and B with equal radii are blackened. They are heated to same temp. and are cooled under identical conditions. What inference do you draw from their cooling curves ?
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A
A and B have same specific heats.
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B
Specific heat of A is less.
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C
Specific heat of B is less.
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D
Nothing can be said.
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Solution

The correct option is C Specific heat of B is less.
The heat absorbed by a body is given by:
dQ=mCdT
i.e.
˙Q= Rate of heat transfer/cooling =mcdTdt
dTdt=kA(θθ0)
Hence,
˙Q=mcKA(θθ0) Hence higher the slope, larger is the specific heat capacity.
i.e. specific heat of B is less.

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