1.

Find the angle of incident at face AB so that the emergent ray grazes along the face AC.

Answer»

Solution :CRITICAL angle, `theta_(c) = sin^(-1) ((1)/(mu)) = r_(2)`
`therefore " " theta_(c) = sin^(-1) ((1)/(sqrt(2))) = 45^(@)`
`A = r_(1) + r_(2)`
`therefore " " r_(1) = A - r_(2) = 60^(@) - 45^(@) = 15^(@)`
CONSIDERING refractionat face AB,
`mu = (sini_(1))/(sinr_(1))`
`therefore " " sini_(1) = musinr_(1) = sqrt(2)xx sin15^(@)`
`therefore " " sini_(1) = musinr_(1) = sqrt(2)xx sin15^(@)`


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