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Question

The refractive index of the material of a prism in 2 and its refractive angle is 30o. One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light entering the prism from the other face will retrace its path after reflection from the mirrored surface, then the angle of incidence on the prism is:

A
60o
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B
0o
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C
30o
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D
45o
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Solution

The correct option is C 45o
The path will be retraced only if the
incident ray is normal on hitting the mirror
x9060=30
μ1sini=μ2sinγ
1×sini=2sin30
is sini=12
i=45
Hence option (D) is correct

2005539_694442_ans_080af22da0bf498ea9a0e2a032047d38.PNG

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