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Chapter 35: Q. 41 (page 1018)

White light is incident onto a 30°prism at the 40°angle shown in figurep35.41. violet light emerges perpendicular to the rear face of the prism. The index of refraction of violet light in this glass is 2.0%larger than the index of refraction of red light. At what angle does red light emerges from the rear face?

Short Answer

Expert verified

The red light emerges from the rear face at angleσ=1.02°.

Step by step solution

01

Given information 

We need to find the angle of the red light emerges from the rear face.

02

Simplification 

n1sinθ1=n2sinθ2

σ2=sin-1n1sinθn2

n1=1.00n2=1.53←videt1.50x1.02

σ1=50σ2=30.04°

Here, σ2is the angle of deviation, role="math" localid="1650189647745" n1andn2are refractive index and θ1andθ2are the angle of incident.

localid="1650188923215" σ2=sin-1n1sinθ1n2

n1=1.00n2=1.49←red1.53xσ98

σ=50σ2=30.72°

Redσ=σR-σV=30.72-30.04=0.68°.

n2=1.49n3=1.00

σ2=0.68°

σ3=sin-1n2sinσ2n3

σ3=1.02°.

03

Diagram

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