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Two spherical black bodies of radii r1 and r2 and with surface temperatures T1 and T2 respectively radiate the same power.

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Two spherical black bodies of radii r1 and r2 and with surface temperatures T1 and T2 respectively radiate the same power. r1/r2 must be equal to 

(a) (T1 / T2)2 

(b) (T2 / T1)2 

(c) (T1 / T2)4 

(d) (T2 / T1)4

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1 Answer

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Correct Answer is: (b) (T2 / T1)2 

For spherical black body of radius r and absolute temperature T, the power radiated = (4πr2)(σT4).

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