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MHT CET202618 April 2026Evening ShiftPhysicsThermal Properties of MatterActual

A black body radiates maximum energy at wavelength ' ' at temperature T₁ and its emissive power is E. When the temperature of the body is changed to T₂ , it radiates maximum energy at wavelength 2 3 , then the emissive power will become

Options

  1. A99 16 ,E
  2. B81 16 ,E
  3. C63 16 ,E
  4. D45 16 ,E

Correct answer

B. 81 16 ,E

Step-by-step solution

According to Wien's displacement law, _ max T = constant . T₁ = 2 3 T₂ T₂ = 3 2 T₁ According to Stefan-Boltzmann law, the emissive power E is proportional to the fourth power of absolute temperature, E T^4 . E₂ E₁ = ( T₂ T₁ )^4 E₂ E = ( 3 2 )^4 = 81 16 E₂ = 81 16 E Answer: 81 16 ,E

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