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A ray is incident at an angle of incidence i on one surface of a prism of small angle A and emerge normally from opposite surface. If the refractive index of the material of prism is mue the angle of incidence i is nearly equal to (A) A/mue (B)A/2mue (C)mueA (D)mueA/2

A ray is incident at an angle of incidence i on one surface of a prism of small angle A and emerge normally from opposite surface. If the refractive index of the material of prism is mue the angle of incidence i is nearly equal to
(A) A/mue    (B)A/2mue
(C)mueA      (D)mueA/2

Grade:12th pass

1 Answers

Eshan
askIITians Faculty 2095 Points
3 years ago

Dear student,

From geometry, the angle of refraction from the first surface in this case will be equal to the prism angle as shown in figure.
568-164_Untitled.png
From Snell’s law,

sin i=\mu sinA
SinceAis small,

sin A\approx A
\implies sin r=\mu A
\implies r\approx sin r=\mu A

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