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Q.

Let the wavelength at which the spectral emissive power of a black body (at a temperature T) is maximum, be denoted by λmax . As the temperature of the body is increased by 1 K ,  λmax  decreases by 1 percent .The temperature T of the black body is

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a

288K

b

100K

c

200K

d

400K

answer is A.

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Detailed Solution

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 λmT=const.(Fu;r)
lnλm=lnT=C
 dλmλm+dTT=0   dλmλm=dTT
\  = 
Now dλmλm=1%=1100  (–ve sign indicates decrease)
dT = 1 (given) 
   T = 100 K.
 

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