If the temperature of the sun were to increase form 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

Options

A. `4`
B. `16`
C. `32`
D. `64`

Answer

D

Explanation

`Q prop r^(2)T^(4) rArr (Q_2)/(Q_1) = ((r_2)/(r_1))^(2) xx ((T_2)/(T_1))^(4) = (2)^(2) xx (2)^(4) = 64`.