First slide

Radiation

Question

If the temperature of the sun were to be increased from T to 2T and its radius from R to 2R, then the ratio of the radiant energy received on the earth to what it was previously will be

Moderate

A

4
B

16
C

32
D

64

Solution

$Q directly proportional to r^{2} T^{4} \Rightarrow \frac{Q_{2}}{Q_{1}} = {(\frac{r_{2}}{r_{1}})}^{2} \times {(\frac{T_{2}}{T_{1}})}^{4} = {(2)}^{2} \times {(2)}^{4} = 64$

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