For a certain pair of materials with unknown indices of refraction, the angle of

ID: 1865191 • Letter: F

Question

For a certain pair of materials with unknown indices of refraction, the angle of incidence is 16 degrees, the angle of refraction in the second medium is 17.3 degrees, and the critical angle for interface first medium/air is 68.2 degrees.

(a) What are the indices of refraction of the two media? Use principles of physics to solve for these values, and confirm your answers with the simulation. Note that your answers should be expressed with two significant figures, as are the indices of refraction in the simulation.

Explanation / Answer

Let us first use critical angle for interface first medium/air

sin?c= n/n1

Where n1 = refractive index of first medium

n= refractive index of first air = 1.00029

Thus

n1= n/sin?c= 1.00029/sin68.2 = 1.077 = 1.1

To find n2 = refractive index of second medium we use Snell’s law,

n2/n1 = sin?1/sin?2

n2 = [n1*(sin?1/sin?2)] = [1.1*(sin16/sin17.3)] = 1.0

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For a certain pair of materials with unknown indices of refraction, the angle of

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