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Q.

A black body, a white body, a blue coloured body and a red coloured body are heated to same temperature and are allowed to cool in the same surroundings. Then the body that cools early is

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a

White

b

Blue

c

Red

d

Black

answer is D.

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Detailed Solution

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$- m c \frac{d θ}{d t} = σ ε A (θ^{4} - θ_{0}^{4}) \Rightarrow \frac{d θ}{d t} = - \frac{σ ε A (θ^{4} - θ_{0}^{4})}{m c} \propto ε$

Black body has highest emissivity, $ε$ . Hence black body cools fastest.

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