Find the angle of refraction in the following figure.

$s i n^{- 1} (\frac{3}{4})$

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$s i n^{- 1} (\frac{3}{8})$

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$s i n^{- 1} (\frac{1}{2})$

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$s i n^{- 1} (\frac{4}{3})$

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Solution

The correct option is B
$s i n^{- 1} (\frac{3}{8})$

We know that
$μ_{1} s i n i = μ_{2} s i n r$ (Snell's law)
$3 \times s i n 30^{\circ} = 4 s i n r$
or, $s i n r = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$
or, $s i n r = \frac{3}{8}$
or, $r = s i n^{- 1} (\frac{3}{8})$
So, the correct option is $s i n^{- 1} (\frac{3}{8})$

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