The critical angle for refraction from glass to air is 30⁰ and that from water to air is 37⁰ . Find the critical angle for refraction from glass to water.

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$\sin^{- 1} (2 / 5)$

$\sin^{- 1} (5 / 6)$

$\sin^{- 1} (3 / 5)$

$\sin^{- 1} (4 / 7)$

answer is A.

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Detailed Solution

$\sin 30^{o} = \frac{1}{μ_{g l a s s}} μ_{g l a s s} = 2$

$\sin 37^{o} = \frac{1}{μ_{water}} μ_{water} = \frac{5}{3}$

Critical angle of refraction from glass to water

$sinθ = \frac{μ_{water}}{μ_{glass}} = \frac{\frac{5}{3}}{2} = \frac{5}{6} θ = \sin^{- 1} (\frac{5}{6})$

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