Geometrical OpticsHard

Question

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 is incident on the plane of separation. The angle of refraction in medium 2 is

Options

A.45o
B.60o
C.75o
D.30o

Solution

Normal to the plane is z - axis
cosθ1 =       ⇒ θ1 = 60
μ1 sinθ1 = μ2 θ2    ⇒       ⇒ θ2 = 45o 

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