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If the temperature of a black body incre...

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

A

`((287)/(7))^4`

B

16

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
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)`
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