Find the angle of refraction in the following figure- sin-1 - 3-4 -sin-1 - 3-8 -sin-1 - 1-2 -sin-1 - 4-3 -

The correct option is B sin^ 1 ( 3/8 ) We know that μ_1 sin i = μ_2 sin r (Snell's law) 3 × sin 30^∘ = 4 sin r or, sin r = 3/4×1/2 = 3/8 or, sin r = 3/8 or, r= ...

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Byju's Answer

Standard X

Physics

Refraction at Curved Surfaces

Find the angl...

Question

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

Suggest Corrections

Find the angle of refraction in the following figure.

The correct option is B sin−1(38) We know that μ1 sin i=μ2 sin r (Snell's law) 3×sin 30∘=4 sin r or, sin r=34×12=38 or, sin r=38 or, r=sin−1(38) So, the correct option is sin−1(38)