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

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The two spheres will have equal temperatures at any instant.

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

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

The initial rate of cooling (dT/dt) will be the same for the two spheres.

answer is A, B.

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Detailed Solution

Rate of heat emission is given by

$\frac{Q}{t} = σ e A T^{4}$

As both the spheres have equal radii and are at the same temperature initially, the rate of emission will be same in the beginning.

But however since the hollow sphere has lesser mass, the rate at which it's temperature will rise will be different from that of the solid sphere. Hence their rates of cooling would be varied and they would have different temperatures at different times.

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