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MHT CET 2020 (16 Oct, Shift 2) · Thermal Radiation: Black Body, Stefan & Wien

Thermal Radiation: Black Body, Stefan & Wien question from MHT CET 2020 (16 Oct, Shift 2)

Q97MHT CET 2020 · 16 OCT · SHIFT 2Medium

Thermal Radiation: Black Body, Stefan & Wien

Two spherical black bodies of radius $r_1$ and $r_2$ with surface temperature $T_1$ and $T_2$ respectively, radiate same power, then $r_1 : r_2$ is

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Answer: (b)

$P \propto r^2 T^4$ ; equal power gives $r_1^2 T_1^4 = r_2^2 T_2^4$ .
$\frac{r_1}{r_2} = \left(\frac{T_2}{T_1}\right)^2$
So the answer is (b).

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