To practice Tactics Box 18.1 Analyzing refraction. If a ray refracts between med

Question

To practice Tactics Box 18.1 Analyzing refraction.

If a ray refracts between medium 1 and medium 2, having indices of refraction n1 and n2, the ray angles 1and 2 in the two media are related by Snell's law,

n1sin1=n2sin2.

This law becomes a central idea in a procedure for analyzing refraction problems, as explained in the following Tactics Box.

Follow the steps above to solve the problem: A diamond is underwater; A light ray enters one face of the diamond, then travels at an angle of 30 degrees with respect to the normal. What was the ray's angle of incidence on the diamond? The index of refraction of water is nwater=1.33, and the index of refraction of diamond is ndiamond=2.42.

apply Snell's law and find the ray's angle of incidence 1 on the diamond.

Express your answer in degrees.

Explanation / Answer

Given are

Nw=1.33

Nd=2.42

Theta2=30 degree

Using snell’s law we have

N1sin theta1=n2sin theta2

Theta1=arcsin(n2/n1 sin 30)

=arcsin(2.42/1.35)sin 30

Theta1=65 degrees

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