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A parallel beam of light is incident fro...

A parallel beam of light is incident from air at an angle `alpha` on the side PQ of a right angled triangular prism of refractive index `n=sqrt2`. Light undergoes total internal reflection in the prism at the face PR when `alpha` has a minimum value of `45^@`.
The angle `theta` of the prism is `

A

`15^(@)`

B

`22.5^(@)`

C

`30^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A

`1 "sin"45^(@) = sqrt(2) "sin" r_(1)`
`r_(2) - r_(1) = theta`
` theta = 45^(@) - 30^(@)`
`implies theta = 15^(@)`
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