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Question

If the temperature of a body increases by 2% then energy radiated will increase by

A
2%
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B
8%
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C
4%
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D
16%
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Solution

The correct option is A 8%
We know that by Stefans law,
Energy Radiated α T4
E=kT4
Given temperature is increased by 2%
Percentage change in Energy = T4(1+0.02)4T4T4×100
Using binomial theorem (1+0.02)4 can be approximated to 1.08
Using this in the above formula we get,
Percentage Change in Energy=8%

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