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A light beam in air is incident on the surface of a pond, making an angle of 20 degree with respect to the surface. What are the angles of reflection and refraction in degrees? (please use refractive index of 1.33 for water)

A. 45 and 55
B. 70 and 45
C. 70 and 35
D. 70 and 40

1 Answer

2 votes

Final answer:

The angle of reflection is equal to the angle of incidence, which is 20°, and the angle of refraction can be calculated using Snell's law giving approximately 14.9°. The correct answer is not represented by the provided options.

Step-by-step explanation:

When a light beam is incident on the surface of water from air, it is subject to the laws of reflection and refraction. According to the law of reflection, the angle of reflection is equal to the angle of incidence.

In this case, since the light beam is incident at a 20° angle to the surface of the pond, the angle of reflection is also 20°.

For the angle of refraction, we use Snell's law, which states that the product of the index of refraction of the first medium and the sine of the angle of incidence is equal to the product of the index of refraction of the second medium and the sine of the angle of refraction.

Given air's refractive index as 1 (the standard) and water's as 1.33, the calculation is:

Sin(refraction angle) = Sin(20°) / 1.33

Performing the calculation yields an angle of refraction of approximately 14.9°.

Therefore, the correct answer is neither A, B, C, nor D because none of these options correctly identifies the angle of refraction based on the given information.

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