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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 μ m to 0.13μm. The ratio of the emissive powers of the body at the respective temperature is :


A

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B

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C

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D

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Solution

The correct option is D


According to Wein’s displacement law, λT = constant, ie.,

λ1T1=λ2 T2 or λ1λ2=T2T1=0.260.13=2 or T2=2T1

According to Stefan’s law, E1=σT41 and E2 σT42

Hence E1E2=σT41σT42=(T1T2)4=(12)4=116 ( T2=2T1)


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