Optics

Let the x - z plane be the boundary between two transparent media. Medium 1 in z ≥ 0 has 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√3i + 8√3j - 10k in incident on the plane of separation. The angle of refraction in medium 2 is

  1. 75°
  2. 60°
  3. 45°
  4. 30°

Answer

μ1 sinθ1 = μ2 sinθ2 

 

cosθ1 = 1/2

θ1 = 60°

√2 sin60° = √3 sinθ2

√(2 x 3)/2 = √3 sinθ2

sinθ2 = 1/√2

θ2 = 45°

The correct option is C.