Thermal Properties of Matter

JEE Main level, single correct, medium

122 of 126

Question 122 of 126

Assuming the sun to be a spherical body of radius R\mathrm{R} at a temperature of TK\mathrm{T} \mathrm{K}, evaluate the total radiant power, incident on Earth, at a distance rr from the Sun.

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Answer: (C) πr02R2σT4r2\frac{\pi r_0^2 R^2 \sigma T^4}{r^2}

πr024πr2(σT4⋅4πR2)=σπT4R2r02r2\frac{\pi r_0^2}{4 \pi r^2}\left(\sigma \mathrm{T}^4 \cdot 4 \pi \mathrm{R}^2\right)=\frac{\sigma \pi \mathrm{T}^4 \mathrm{R}^2 \mathrm{r}_0^2}{\mathrm{r}^2}

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