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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

Options

  1. A45^
  2. B60^
  3. C75^
  4. D30^

Correct answer

A. 45^

Step-by-step solution

Normal to the plane is z -axis aligned & ₁= A_z A = 10 20 = 1 2 , ₁=60 & ₁ ₁= ₂ ₂ 2 3 2 = 3 ₂ ₂=45^ aligned

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