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PhysicsMediumMCQ2011 · Unknown

Q23.Let the x −z plane be the boundary between two transparent media. Medium 1 in z ≥0 has a refractive index of √2 and medium 2 with z < 0 has a refractive index of √3 . A ray of light in medium 1 given by the vector →A = 6√3^i + 8√3^j −10^k is incident on the plane of separation. The angle of refraction in medium 2 is (1) 45∘ (2) 60∘ (3) 75∘ (4) 30∘

What This Question Tests

This question requires calculating the angle of incidence from the incident ray vector and the normal to the surface, and then applying Snell's Law to find the angle of refraction.

Concepts Tested

Snell's LawAngle of incidenceAngle of refractionDirection vector

Formulas Used

n₁ sinθ₁ = n₂ sinθ₂

cosθ = |A · n̂| / |A|

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