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Chapter 35: Q. 41 (page 1018)

White light is incident onto a 30掳prism at the 40掳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 angle蟽=1.02掳.

Step by step solution

01

Given information 

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

02

Simplification 

n1sin胃1=n2sin胃2

蟽2=sin-1n1sin胃n2

n1=1.00n2=1.53鈫�videt1.50x1.02

蟽1=50蟽2=30.04掳

Here, 蟽2is the angle of deviation, role="math" localid="1650189647745" n1andn2are refractive index and 胃1and胃2are the angle of incident.

localid="1650188923215" 蟽2=sin-1n1sin胃1n2

n1=1.00n2=1.49鈫�red1.53x蟽98

蟽=50蟽2=30.72掳

Red蟽=蟽R-蟽V=30.72-30.04=0.68掳.

n2=1.49n3=1.00

蟽2=0.68掳

蟽3=sin-1n2sin蟽2n3

蟽3=1.02掳.

03

Diagram

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