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Q.

A solid sphere and a hollow sphere of the same material and of equal radii are heated to the same temperature. Then select the wrong statement.

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a

Both will emit equal amount of radiation per unit time in the beginning.

b

Both will absorb equal amount of radiation from the surroundings in the beginning.

c

The initial rate of cooling will be the same for two spheres.

d

The two spheres will have different temperatures at any time t > 0.

answer is C.

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Detailed Solution

m.s.-dTdt=e.σ.A.T4-T04 ⇒-dTdt∝T4-T04mInitially T = T1 for both spheres and for solid sphere ‘m’ is more . Hence option -(3) is right.
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