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The refractive index of the material of ...

The refractive index of the material of a prism is `sqrt(2)` and the angle of the prism is `30^(@)`. One of the two refracting surfaces of the prism is made a mirror inwards, by silver coating. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is

A

`60^@`

B

`0^@`

C

`30^@`

D

`45^@`

Text Solution

Verified by Experts

The correct Answer is:
D
According to question from snaell's law

`1.sin I =musin30^@ rArr sin I =sqrt2xx1/2=1/sqrt2`
`rArr i=45^@`
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