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Q.

Power radiated by a block body at temperature T1  is P and it radiates maximum energy at a wavelength λ1. If the temperature of the black body is changed from T1 to T2, it radiates maximum energy at a wavelength λ12. The power radiated at T2 is

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a

2P

b

4P

c

8P

d

16P 

answer is D.

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Detailed Solution

(QAt)=σT4 

P=AσT4

PT4

P1P2=(T1T2)4(1)

But, λm1T1=λm2T2

λ1×T1=λ12T2

T2=2T1

PP2=(T12T1)4 

P2=16P 

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