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Q.

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

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a

161

b

41

c

14

d

116

answer is D.

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Detailed Solution

λ1T1 = λ2T2    λ1λ2 = T2T1 = 0.260.13 = 2     T2 = 2T1By Stefan's law, emissive power E = σT4      E1 = σT14;  E2 = σT24        E1E2 = σT14σT24 = T14(2T1)4 = 116
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