Assuming the sun to be a spherical body of radius R at a temperature of T K, evaluate the…

Physics · JEE Main · NTA ExamsThermodynamics

Assuming the sun to be a spherical body of radius R at a temperature of T K, evaluate the total radiant power, incident on earth, at a distance r from the sun, where r0 is radius of earth
  1. \(\frac{4 \pi \mathrm{r}_{0}^{2} \mathrm{R}^{2} \sigma \mathrm{~T}^{4}}{\mathrm{r}^{2}}\)
  2. \(\frac{\pi \mathrm{r}_{0}^{2} \mathrm{R}^{2} \sigma \mathrm{~T}^{4}}{\mathrm{r}^{2}}\)
  3. \(\frac{\mathrm{r}_{0}^{2} \mathrm{R}^{2} \sigma \mathrm{~T}^{4}}{4 \pi \mathrm{r}^{2}}\)
  4. \(\frac{\mathrm{R}^{2} \sigma \mathrm{~T}^{4}}{\mathrm{r}^{2}}\)

Answer

(B) r _ 0 ^ 2 R ^ 2 ~T ^ 4 r ^ 2

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