Question

The refractive index of a prism is `mu`. Find the maximum angle of the prism for which a ray incident on it will be transmitted through other face without total internal reflection.

Answer 1

Correct Answer - `2 sin^(-1) ((1)/(mu))
We have `A = r_(1) + r_(2)`
`r_(1) le harr` We have `A = r_(1) + r_(2)`
`r_(1) le l_(C)i`
`r_(2) le l_(C)` (for no. `T.I.R`)
`r_(1) + r_(2) le 2l_(C)`
`A le 2l_(C) rArr A le sin^(-1) (1//mu)`