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Angle of a prism is 30^(@) and its refra...

Angle of a prism is `30^(@)` and its refractive index is `sqrt(2)` and one of the surface is silvered. At what angle of incidence, a ray should be incident on one surface so that after reflection from the silvered surface, it retraces its path ?

A

`30^(@)`

B

`60^(@)`

C

`45^(@)`

D

`sin^(-1)(0.15)`

Text Solution

Verified by Experts

The correct Answer is:
C
`"By geometry ",angler=30^(@)`
`mu=(sini)/(sin30^(@))`
`sqrt2=(sini)/(1/2)`
`sqrt2=(sini)/(1)`
`=1/(sqrt2)=sin45^(@)`
`i=45^(@)`
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