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MHT CET20249 May 2024Evening ShiftPhysicsThermal Properties of MatterActual

A' black body radiates power ' P ' and maximum energy is radiated by it at a wavelength ₀ . The temperature of the black body is now so changed that it radiates maximum energy at the wavelength ₀ 4 . The power radiated by it at new temperature is

Options

  1. A64 P
  2. B256 P
  3. C4 P
  4. D16 P

Correct answer

B. 256 P

Step-by-step solution

According to Wien's displacement law, _ max T = constant T ₁ ~T ₂ = _ ₂ _ ₁ = 1 / 4 ₀ ₀ = 1 4 Power radiated for a blackbody, P = AT ^4 aligned P ₁ P ₂ & = ( T ₁ ~T ₂ )^4= ( 1 4 )^4= 1 256 P ₂ & =256 P ₁=256 P aligned

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