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Question

A ray of light falls on the surface of a spherical glass paper weight making an angle α with the normal and is refracted in the medium at an angle β. The angle of deviation of the emergent ray from the direction of the incident ray is
  1. (αβ)
  2. 2(αβ)
  3. (αβ)2
  4. (α+β)


Solution

The correct option is B 2(αβ)
From figure it is clear that ΔOBC is an isosceles triangle ,
Hence OCB=β and emergent angle is α
Also sum of two in terior angles = exterior angle
δ=(αβ)+(αβ)=2(αβ)

 

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