Physics - Heat & Thermo Question with Solution | TestHub

According to Wien's Displacement Law, the product of the peak wavelength (${\lambda }_m$) and the absolute temperature (T) of a black body is a constant (b).$${\lambda }_{m}T=b$$ For the two different temperatures:$${\lambda }_{m1}{T}_1={\lambda }_{m2}{T}_2$$ Given$T_1=2000\text{ K}$, ${\lambda }_{m1}=1.45\mu \text{m}$, and $T_2=2900\text{ K}$.$$1.45\times 2000={\lambda }_{m2}\times 2900$$ $${\lambda }_{m2}=\frac{1.45\times 2000}{2900}=\frac{1.45\times 20}{29}=\frac{29}{29}=1\mu \text{m.}$$