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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 of right angled triangular prism of refractive index `mu = sqrt(2)`. 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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ALLEN-GEOMETRICAL OPTICS-EXERCISE-05 (B)
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