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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
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
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Solution
The correct option is B 2(α−β)
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=(α−β)+(α−β)=2(α−β)
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=(α−β)+(α−β)=2(α−β)
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