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Geometrical Optics question

2015 · Shift 0 · Q45
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Geometrical Optics question

2015 · Shift 0 · Q45

JEE MainPhysicsGeometrical OpticsMCQ+4 / −1
Monochromatic light is incident on a glass prism of angle AAA. If the refractive index of the material of the prism is μ\muμ, a ray, incident at an angle θ\thetaθ. on the face ABABAB would get transmitted through the face ACACAC of the prism provided : JEE Main 2015 (Offline) Physics - Geometrical Optics Question 211 English
  1. A
    θ>cos⁡−1[μ sin⁡(A+sin⁡−1(1μ)]\theta \gt {\cos ^{ - 1}}\left[ {\mu \,\sin \left( {A + {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]θ>cos−1[μsin(A+sin−1(μ1​)]
  2. B
    θ<cos⁡−1[μ sin⁡(A+sin⁡−1(1μ)]\theta \lt {\cos ^{ - 1}}\left[ {\mu \,\sin \left( {A + {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]θ<cos−1[μsin(A+sin−1(μ1​)]
  3. C
    θ>sin−1[μ sin⁡(A−sin⁡−1(1μ)]\theta \gt si{n^{ - 1}}\left[ {\mu \,\sin \left( {A - {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]θ>sin−1[μsin(A−sin−1(μ1​)]
  4. D
    θ<sin−1[μ sin⁡(A−sin⁡−1(1μ)]\theta \lt si{n^{ - 1}}\left[ {\mu \,\sin \left( {A - {{\sin }^{ - 1}}} \right.\left( {{1 \over \mu }} \right)} \right]θ<sin−1[μsin(A−sin−1(μ1​)]
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