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MHT CET202416 May 2024Morning ShiftPhysicsThermal Properties of MatterActual

The power radiated by a black body is P and it radiates maximum energy around the wavelength ₀ . Now the temperature of the black body is changed so that it radiates maximum energy around wavelength ( ₀ 2 ) . The power radiated by it will now increase by a factor of

Options

  1. A2
  2. B8
  3. C16
  4. D32

Correct answer

C. 16

Step-by-step solution

array ll & According to Wien’s law, & _ m ~T = constant . & _ m₁ T₁= _ m₂ T₂ & T₂= _ m₁ _ m₂ T₁= ₀ ( ₀ 2 ) T₁=2 T₁...(i) array From Stefan-Boltzmann law, P T ^4 P₂ P_r = ( T₂ T₁ )^4 . P₂ P₁ = ( 2 T₁ T₁ )^4=16

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