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Question

Upon increasing the temperature of a black body, it is observed that the wavelength corresponding to maximum energy changes from 0.26 μm to 0.13 μm. The ratio of the emissive powers of the body at the two temperatures is:

A
41
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B
14
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C
161
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D
116
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Solution

The correct option is D 116
According to Wien's displacement law, λ1T
Thus, we can write that,
λ1T1=λ2T2λ1λ2=T2T1=0.260.13
T2=2T1
Using Stefan's law, emissive power E=σT4
E1E2=σT41σT42=T41(2T1)4=116
Thus, option (d) is the correct answer.

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