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Question

A light ray is incident on a transparent sphere of index =2, at an angle of incidence =45. What is the deviation of a tiny fraction of the ray, which enters the sphere, undergoes two internal reflections and then refracts out into air?

A
270
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B
240
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C
120
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D
180
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Solution

The correct option is A 270
From Snell's law,
M1sinθ1=M2sinθ2
1.sin45=2sinr1
r1=30
Here r1=r2=r3=r4=r5=r6=30
1.sin=2sinr6
sine=12
e=45
Deviation at 1st =ir1=4530=15
Deviation at 2nd =18060=120
Deviation at 3rd=18060=120
Deviation at 4th =er6=4530=15
Total deviation =102+102+15+15=270.

1921001_1405020_ans_e1e5b89324f24e5f93ed8443696ffce6.png

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