Solveeit Logo
Login

Question

Question: If the temperature of the sun were to increase from T to 2T and its radius from R to 2R, then the ra...

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

A

32

B

16

C

4

D

64

Answer

64

Explanation

Solution

T2 = 2T, T1 = T, R1 = R, R2 = 2R

E2E1\frac{E_{2}}{E_{1}} = (R2R1)2\left( \frac{R_{2}}{R_{1}} \right)^{2} (T2T1)4\left( \frac{T_{2}}{T_{1}} \right)^{4} = 641\frac{64}{1}