Question

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 $\phi$ and then partly reflects from the back surface. The reflected ray then emerges out of the sphere after a partial refraction. The total angle of deviation of the emergent ray with respect to the incident ray is $a$. Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

List-I	List-II
P	If $n = 2$ and $\alpha = 180°$, then all the possible values of $\theta_0$ will be
Q	If $n = √3$ and $\alpha= 180°$, then all the possible values of $\theta_0$ will be
R	If $n = √3$ and $\alpha= 180°$, then all the possible values of $\phi_0$ will be
S	If $n = \sqrt2$ and $\theta_0 = 45°$, then all the possible values of $\alpha$ will be

• A. P → 5; Q → 2; R→ 1; S→ 4
• B. P → 5; Q → 1; R→ 2; S→ 4
• C. P → 3; Q → 2; R→ 1; S→ 4
• D. P → 3; Q → 1; R→ 2; S→ 5

Answer 1

Answer: (A)

P → 5; Q → 2; R→ 1; S→ 4

Answer 2

The correct option is (A):P → 5; Q → 2; R→ 1; S→ 4