Question

An incident ray of light strikes water at an angle of 30°. The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33. What is the angle of refraction rounded to the nearest whole number? 22° 24° 30° 42°.

Answer 1

The measure of the angle of refraction is 22 degress, the correct option is A.

What is the angle of refraction?

The angle made by a refracted ray with a perpendicular to the refracting surface.

Given

An incident ray of light strikes water at an angle of 30°.

The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33.

In order to determine the angle of the refracted ray, we may apply Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is constant for a given wave when it passes through two different media.

The angle of the refraction is given by;

$\rm 1.0003 \times sin(30) = 1.33 \times sin(\phi)\\\\ \rm 1.0003 \times 0.5 = 1.33 \times sin(\phi)\\\\Sin\phi=\rm \dfrac{1.0003 \times 0.5 }{1.33}\\\\Sin\phi=0.37\\\\\phi = 22$

Hence, the measure of the angle of refraction is 22 degress.

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