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Question 33

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 refraction. 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-IList-II
(P)If $$n = 2$$ and $$\alpha = 180°$$, then all the possible values of $$\theta_0$$ will be(1)$$30°$$ and $$0°$$
(Q)If $$n = \sqrt{3}$$ and $$\alpha = 180°$$, then all the possible values of $$\theta_0$$ will be(2)$$60°$$ and $$0°$$
(R)If $$n = \sqrt{3}$$ and $$\alpha = 180°$$, then all the possible values of $$\phi_0$$ will be(3)$$45°$$ and $$0°$$
(S)If $$n = \sqrt{2}$$ and $$\theta_0 = 45°$$, then all the possible values of $$\alpha$$ will be(4)$$150°$$
(5)$$0°$$

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