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

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

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

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

answer is C.

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Detailed Solution

$m . s . (- \frac{dT}{dt}) = e . σ . A . (T^{4} - {T_{0}}^{4}) \Rightarrow - \frac{dT}{dt} \propto \frac{(T^{4} - {T_{0}}^{4})}{m}$

Initially T = T₁ for both spheres and for solid sphere ‘m’ is more . Hence option -(3) is right.

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