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A long solid cylindrical glass rod of re...

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?

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The correct Answer is:
`sin^(-1) (1/sqrt(3))`
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