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A sphere of 8cm radius behaves like a bl...

A sphere of `8cm` radius behaves like a black body. It is in thermal equilibrium with the surrounding and absorbs `10 W` of power radiated to it from surrounding. The temperature of the sphere (`sigma=5.67xx10^(-8)W//m^(2)K^(4)`) is approximately.

A

`160 K`

B

`217 K`

C

`283 K`

D

`347 K`

Text Solution

Verified by Experts

For a black body,
Heat absorbed `=` heat radiated `=sigmaAT^(4)`
`:. 5.67xx10^(-8)xx4xx3.14xx8xx8xx10^(-4)xxT^(4)=10`
`:. T=0.2164xx10^(3)=216.4 K~~217K`
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