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Q.

A black body radiates maximum energy at wavelength λ when its temperature is T. Now temperate of the black body is increased by 50%.  Then the percentage change in wavelength at which the black body will radiate maximum energy is

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a

17.67%

b

33.33%

c

23.12%

d

25%

answer is B.

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Detailed Solution

(2)By Wien's displacement Law,T'λ'=Tλ   ⇒   λ'=TT' . λ=T1.5T × λ=2λ3.∴   Decrease  in wavelength  =λ−λ'λ × 100%=33.33%
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