Upon increasing the temperature of a black body, it is observed that the wavelength corresponding to maximum energy changes from 0.26μm to 0.13μm. 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 D116 According to Wien's displacement law, λ∝1T
Thus, we can write that, λ1T1=λ2T2⇒λ1λ2=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.