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A solid sphere and a hollow sphere of the same material and size are heated to the same temperature and allowed to cool in the same surroundings. If the temperature difference between the body and that of the surroundings is T, then

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both spheres will cool at the same rate for all values of T

both spheres will cool at the same rate only for small values of T

the hollow sphere will cool at a faster rate for all values of T

the solid sphere will cool at a faster rate for all values of T

answer is C.

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Detailed Solution

Both the spheres will have same surface area hence both will radiate heat at same rate. But hollow sphere will cool faster because it has less mass hence rate of temperature drop will be higher for same heat loss.

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