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Geometrical Optics question

2024 · Shift 1 · Q50
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  5. /2024 · Shift 1 · Q50

Geometrical Optics question

2024 · Shift 1 · Q50

JEE AdvancedPhysicsGeometrical OpticsMCQ+3 / −1

A light ray is incident on the surface of a sphere of refractive index nnn at an angle of incidence θ0\theta_0θ0​. The ray partially refracts into the sphere with angle of refraction ϕ0\phi_0ϕ0​ 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 α\alphaα. 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=2n = 2n=2 and α=180∘\alpha = 180^\circα=180∘, then all the possible values of θ0\theta_0θ0​ will be (1) 30∘30^\circ30∘ and 0∘0^\circ0∘
(Q) If n=3n = \sqrt{3}n=3​ and α=180∘\alpha = 180^\circα=180∘, then all the possible values of θ0\theta_0θ0​ will be (2) 60∘60^\circ60∘ and 0∘0^\circ0∘
(R) If n=3n = \sqrt{3}n=3​ and α=180∘\alpha = 180^\circα=180∘, then all the possible values of ϕ0\phi_0ϕ0​ will be (3) 45∘45^\circ45∘ and 0∘0^\circ0∘
(S) If n=2n = \sqrt{2}n=2​ and θ0=45∘\theta_0 = 45^\circθ0​=45∘, then all the possible values of α\alphaα will be (4) 150∘150^\circ150∘
(5) 0∘0^\circ0∘
  1. A
    P→5;Q→2;R→1;S→4\mathrm{P} \rightarrow 5 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 1 ; \mathrm{S} \rightarrow 4P→5;Q→2;R→1;S→4
  2. B
    P→5;Q→1;R→2;S→4\mathrm{P} \rightarrow 5 ; \mathrm{Q} \rightarrow 1 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 4P→5;Q→1;R→2;S→4
  3. C
    P→3;Q→2;R→1;S→4\mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 1 ; \mathrm{S} \rightarrow 4P→3;Q→2;R→1;S→4
  4. D
    P→3;Q→1;R→2;S→5\mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 1 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 5P→3;Q→1;R→2;S→5
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