If temperature of a black body increases from `7^(@)C` to `287^(@)C` , then the rate of energy radiation increases by

Options

A. `((287)/(7))^4`
B. 16
C. 4
D. 2

Answer

B

Explanation

Rate of change of energy (Power) `P=A sigma T^4`
`implies P prop T^4 implies (P_1)/(P_2)=((T_1)/(T_2))^4`
`implies (P_1)/(P_2)=((273+7)/(273+287))=(1)/(16)`