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A prism having refractive index 1.414 an...

A prism having refractive index 1.414 and refracting angle `30^(@)` has one of the refracting surfaces silvered. A beam of light incident on the other refracting surface will retrace its path, if the angle of incidence is

A

0

B

`pi//6`

C

`pi//4`

D

`pi//3`

Text Solution

Verified by Experts

The correct Answer is:
c.
`A=r_(1)+r_(2)`
`30^(@)=r_(1)+0`
or `r_(1)=30^(@)`
Now, `(sini)/(sin30^(@))=sqrt(2)`
or `sini=sqrt(2)xx(1)/(2)`
or `i=45^(@)`
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