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Question

For the given incident ray as shown in figure, the condition of total internal reflection of this ray the required refractive index of prism will be
1081707_2740ecb82d5e4dc99b91b2bca16eb72f.png

A
3+12
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B
2+12
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C
32
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D
76
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Solution

The correct option is C 32
from diagram

r+θ=900

sinisinr=μ

sin45sinr=μ

sinr=1μ2

θ>csinθ>sinc

sin(90r)>1μ

cosr>1μ

1sin2r>1μ

112μ2>1μ2

1>12μ2+1μ2

μ2>32

μ=32

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