4. Light is incident on a rectangular prism with an index of refraction, n = 2.

Question

4. Light is incident on a rectangular prism with an index of refraction, n = 2. The prism is surrounded by air with index of refraction n = 1. Find the value of the angle ? that will assure that the light within the prism is totally internally reflected from the top surface of the prism.

4. Light is incident on a rectangular prism with an index of refraction, n-2. The prism. is surrounded by air with index of refraction n-1. Find the value of the angle that will assure that the light within the prism is totally internally reflected from the top surface of the prism. n=21 V3 C | = 0.33r D | = 0.50T

Explanation / Answer

for air prism interface

n2/n1=sini/sinr

(my keyboard doesnt have theta so theta=i theta r = r for me)

n2=2

n1=1

2sinr=sini

for prism air interface

the refraction angle is 90

so by snell law

sinr/sin90=1/2

or sinr=1/2

or r=30degree

sini=2sinr

sini=2*1/2

sini=1

i=90 degree

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