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Question

When the temperature of a black body increases, it is observed that the wavelength corresponding to maximum energy changes from 0.26 μm to 0.13 μm Then ratio of the emissive power of the body at respective temperature is

A
16/1
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B
4/1
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C
1/4
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D
1/16
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Solution

The correct option is D 1/16
According to Wein's displacement law
(λm)1(λm)2=T2T1=0.260.13=2
From Stefan's law,
E1E2=(T1T2)4=(12)4=116

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