Monochromatic light is incident on a glass prism of angle A. If the refractive index of the material of the prism is $\mu$, a ray, incident at an angle $\theta$ , on the face $AC$ of the prism provided:

Question

$\begin{array}{1 1} \theta < \cos ^{-1} \bigg[ \mu \sin \bigg(A + \sin ^{-1}\bigg(\frac{1}{\mu } \bigg)\bigg) \bigg] \\ \theta > \sin ^{-1} \bigg[ \mu \sin \bigg(A- \sin ^{-1}\bigg(\frac{1}{\mu } \bigg)\bigg) \bigg] \\ \theta < \sin ^{-1} \bigg[ \mu \sin \bigg(A- \sin ^{-1}\bigg(\frac{1}{\mu } \bigg)\bigg) \bigg] \\ \theta > \cos ^{-1} \bigg[ \mu \sin \bigg(A + \sin ^{-1}\bigg(\frac{1}{\mu } \bigg)\bigg) \bigg] \end{array}$