Physics - Heat & Thermo Question with Solution | TestHub

According to Wien's displacement law, the product of the absolute temperature ($T$) of a black body and the wavelength corresponding to the maximum intensity of emission (${\lambda }_m$) is a constant. So, ${\lambda }_{m}T=b$ (Wien's constant). If the initial temperature is $T_1=1000K$ and the new temperature is $T_2=2000K=2T_1$, then ${\lambda }_{m1}{T}_1={\lambda }_{m2}{T}_2$.${\lambda }_{m2}={\lambda }_{m1}\frac{T_1}{T_2}={\lambda }_{m1}\frac{T_1}{2T_1}=\frac{{\lambda }_{m1}}{2}$. So, it becomes ${\lambda }_m/2$.