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Question: Answered & Verified by Expert
The power radiated by a black-body is P0 and it radiates maximum energy around the wavelength λ0. If the temperature of the black-body is now changed so that it radiates maximum energy around a wavelength 3λ04, then the power radiated by it will be
PhysicsThermal Properties of MatterJEE Main
Options:
  • A 43P0
  • B 169P0
  • C 6427P0
  • D 25681P0
Solution:
2645 Upvotes Verified Answer
The correct answer is: 25681P0
Let T0 be the initial temperature of the black body

 λ0T0=b (Wien's law)

Power radiated, P0=CT04,  where, C is constant.

If T is new temperature of black body, then

3λ04T=b=λ0T0  or  T=43 T0

Power radiated, P=CT4=CT04434

P=25681P0

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