Select the correct answer.

Anthony shines a beam of light on the surface of a solution of glycerol at a certain angle. If the angle of refraction is 38°, what is the angle of

incidence? The index of refraction of glycerol is 1.47, while that of air is 1.00.

A 38°

B. 45°

C. 55°

D. 65°

E. 70°

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Answer: 65°

Explanation:

According to Snell's law, which states that ratio of the sine of the angle of refraction and the sine of the angle of incidence is always constant and equivalent to the ratio of phase velocities of the two mediums it is passing through.

nr / ni = sin I / sin r

r = 38°

I = ?

ni = 1

nr = 1.47

1.47 / 1 = sin i / sin38

Sin I = 1.47sin38

Sin I = 0.9050

I = sin-¹ 0.9050

I = 64.826°

I = 65°