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A right angles prism (45^(@),90^(@), 45^...

A right angles prism `(45^(@),90^(@), 45^(@))` of refractive index n has a plate of refractive index `(n_(1)ltn)` cemented to its diagonal face. The assembley is in air. A ray is incident on AB.
a. Calculate the angle of incidence at AB for which the ray strikes the diagonal face at the critical angle.
b. Assuming `n=1.351`, calculate the angle of incidence at AB for which the refracted rey passes through the diagonal face undeviated.

Text Solution

Verified by Experts

If the ray passes through the diagonal face un deviated
`therefore r=45^@`
`therefore I sini = nsin45^@`
`I = sin^(-1) (1.352/sqrt(2)) = 72.9^(@)`
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