If the temperature of a hot body is increased by `50%`, then the increase in the quantity of emitted heat radiation will be

Options

A. 1.25
B. 2
C. 3
D. 4

Answer

D

Explanation

`Q prop T^4 implies ((T_1)/(T_2))^4 implies ((T)/(T+T//2))^4=(16)/(81)`
`implies Q_2 =(81)/(16) Q_1`
% increase in energy = `(Q_2-Q_1)/(Q_1)xx 100 =400%`