The energy spectrum of a black body exhibits a maximum of wavelength ₀ . The temperature of the black body is now changed such that the energy is maximum at wavelength 3 ₀ 2 . The ratio of power radiated by the black body will be

Step-by-step solution

Using Wien's displacement law, _ m T = constant ₁ T₁ = ₂ T₂ ₀ T₁ = 3 ₀ 2 T₂ T₂ T₁ = 2 3 According to Stefan-Boltzmann law, the power radiated by a black body is P T^4 P₂ P₁ = ( T₂ T₁ )^4 P₂ P₁ = ( 2 3 )^4 = 16 81 Answer: 16 81