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A prism ABC of angle 30^(@) has its fac...

A prism ABC of angle `30^(@)` has its face AC silvered. A ray of light incident at an angle of `45^(@)` at the face AB retraces its path after refraction at face AB and reflection at face AC . The refractive index of the material of the prism is

A

1.5

B

`(3)/(sqrt2)`

C

`sqrt2`

D

`(4)/(3)`

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The correct Answer is:
c
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