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Question
The angle of incidence in air for a ray of light is 40°. If the ray travels through water of refractive index `4/3`, find the angle of refraction.
Numerical
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Solution
\[ {}^{a}\mu_{w} = \frac{\sin i}{\sin r} \]
\[ \therefore \ \sin r = \frac{\sin i}{{}^{a}\mu_{w}} \]
\[= \frac{\sin 40^\circ}{\dfrac{4}{3}}\]
\[= \frac{3 \times 0.6427}{4}\]
\[ \sin r = 0.4820 \]
\[ \therefore \ r = \sin^{-1} (0.4820) = 28.82^\circ \ \text{(approx)} \]
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