A long solid cylindrical glass rod of refractive index 3/2 is immersed in a liquid of refractive index `(3sqrt(3))/(4)`. The ends of the rod are perpendicular to the central axis of the rod. A light enters one end of the rod at the central axis as shown in the figure . find the maximum value of angle `theta` for which total internal reflection occurs inside the rod?

Answer

35.26

Explanation

`"sin"theta= `(mu_(R))/(.^(c)mu_(P))=(3sqrt(3))/(4) xx (sqrt3)/(2) implies Q_(C) = 60^(@)`
`(3sqrt(3))/(4) "sin"theta = (3)/(2)"sin"30^(@) implies "sin"theta = (1)/(sqrt(3)) implies theta = sin^(-1).(1)/(sqrt(3))`