Q.

Two circular discs A and ,B with equal radii are blackened. They are heated to same temperature and are cooled under identical conditions. What inference do your draw from their cooling curves?

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a

A and B have same  specific heat

b

Specific heat of A is less

c

Specific heat of B is less

d

Nothing can be said

answer is B.

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Detailed Solution

When a body cools by radiation, the rate of cooling is given by:
                  dt = -eAσms(θ4-θ40)
-ve sign shows that temperafure decreases, i.e., the body cools, s is the specific heat of material and θ0 is the surrounding temperature
or dt 1s
i.e., rate of cooling(R = dt) is inversely proportional to the specific heat of material. For a, rate of cooling is large, therefore, specific heat of A is smaller.

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