JEE Advanced 2024 Physics question on Ray Optics

A light ray is incident on the surface of a sphere of refractive index $n$ at an angle of incidence $\theta_0$. The ray partially refracts into the sphere with angle of refraction $\phi_0$ and then partly reflects from the back surface. The reflected ray then emerges out of the sphere after a partial reflection. The total angle of deviation of the emergent ray with respect to the incident ray is $\alpha$. Match the quantities mentioned in List-I with their values in List-II and choose the correct option.
List-I
(P) If $n = 2$ and $\alpha = 180^\circ$, then all the possible values of $\theta_0$ will be
(Q) If $n = \sqrt{3}$ and $\alpha = 180^\circ$, then all the possible values of $\theta_0$ will be
(R) If $n = \sqrt{3}$ and $\alpha = 180^\circ$, then all the possible values of $\phi_0$ will be
(S) If $n = \sqrt{2}$ and $\theta_0 = 45^\circ$, then all the possible values of $\alpha$ will be
List-II
(1) $30^\circ$ and $0^\circ$
(2) $60^\circ$ and $0^\circ$
(3) $45^\circ$ and $0^\circ$
(4) $150^\circ$
(5) $0^\circ$