Question #43142

A spherical blackbody is maintained at an initial temperature $T_1 = 3000 \text{ K}$. The thermal radiation emitted by the blackbody is passed through a narrow slit to form a beam, which is then incident on a thin glass prism of refracting angle $A = 2.0^\circ$. The refractive index of the prism material varies with the wavelength $\lambda$ of the incident light as $n(\lambda) = 1.40 + \frac{k}{\lambda^2}$, where $k = \frac{1}{3} \times 10^{-13} \text{ m}^2$. If the temperature of the blackbody is increased to $T_2 = 6000 \text{ K}$, what is the magnitude of the change in the angle of minimum deviation for the wavelength corresponding to the maximum spectral emissive power? (Take Wien's displacement constant $b = 3.0 \times 10^{-3} \text{ m}\cdot\text{K}$ and assume the angle of deviation is small).