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Q.

The light ray is incidence at angle of 60° on a prism of angle 45°. When the light ray fails on the other surface at 90°, the refractive index of the material of prism μ and the angle of deviation δ are given by

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a

μ=2,δ=30o

b

μ=1.5,δ=15o

c

μ=32,δ=30o

d

μ=32,δ=15o

answer is D.

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Detailed Solution

From figure it is clear that ∠e=∠r2=0From  A=r1+r2⇒r2=A=45o∴μ=sin  isin  r1=sin60osin45o=32Also  from  i+e=A+δ⇒60+0=45+⇒δ=15o
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The light ray is incidence at angle of 60° on a prism of angle 45°. When the light ray fails on the other surface at 90°, the refractive index of the material of prism μ and the angle of deviation δ are given by