• # question_answer 26) If ${{\lambda }_{m}}$denotes the wavelength at which the radia-tive emission from a black body at a temperature is maximum, then A) ${{\lambda }_{m}}\propto {{T}^{4}}$B) ${{\lambda }_{m}}$is independentC) ${{\lambda }_{m}}\propto T$D) ${{\lambda }_{m}}\propto {{T}^{-1}}$

According to Wien's displacement law, the wavelength$({{\lambda }_{m}})$of maximum intensity of emission of black body radiation is inversely proportional to absolute temperature (T) of the black body. There- fore, Wien's law is ${{\lambda }_{m}}T=\text{constant}$ or ${{\lambda }_{m}}=\frac{cons\tan t}{T}$ or ${{\lambda }_{m}}\propto \frac{1}{T}$ or ${{\lambda }_{m}}\propto {{T}^{-1}}$