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For a prism kept in air, it is found that for an angle of incidence 60°, the angle of refraction 'A', angle of deviation ' δ' and angle of emergence 'e' become equal. The minimum angle of incidence of a ray that will be transmitted through the prism is

a
1.73
b
1.15
c
1.5
d
1.33

detailed solution

Correct option is A

Given i = 60°, A = δ= eδ = i +e - A ⇒ δ = i(∵ e = A) and δ = i = eμ=sinA+δm2sinA2Here, angle of deviation is minimum (∵ i = e)μ=sin60°+60°2sin60°/2=3

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Angle of minimum deviation is equal to the angle of prism A of an equilateral glass prism. The angle of incidence at which minimum deviation will be obtained is


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