A black body emits radiation of maximum intensity at wavelength ' ' at temperature T K. Its corresponding wavelength at temperature 1 5 ~T ~K will be

Step-by-step solution

Wien's displacement law states that the product of peak emission wavelength and absolute temperature remains constant: _m T = b , where b is Wien's constant. Given initial conditions ₁ = and T₁ = T , and final temperature T₂ = 1.5T , applying the constant product relation: ₁ T₁ = ₂ T₂ T = ₂ 1.5T Solving for the final wavelength: ₂ = T 1.5T = 1.5 = 2 3 The peak wavelength at temperature 1.5T is therefore 2 3 .