A ray of light is incident upon a two flat glass plates which are stacked on top

Question

A ray of light is incident upon a two flat glass plates which are stacked on top of each other as shown. The index of refraction of the top plate is 1.1 and the index of refraction of the bottom plate is 1.25.
The angle between the incident ray and the normal to the surface is 59.

1. What is the angle between the ray of light in the top glass plate and the normal to the surface of the plates.

2. What is the angle between the ray of light within the bottom glass plate and the normal to the surface of the plates.

3. What is the angle between the ray of light after it emerges from the bottom piece of glass and the normal to the surface of the plates.

A ray of light is incident upon a two flat glass plates which are stacked on top of each other as shown. The index of refraction of the top plate is 1.1 and the index of refraction of the bottom plate is 1.25. The angle between the incident ray and the normal to the surface is 59. 1. What is the angle between the ray of light in the top glass plate and the normal to the surface of the plates. 2. What is the angle between the ray of light within the bottom glass plate and the normal to the surface of the plates. 3. What is the angle between the ray of light after it emerges from the bottom piece of glass and the normal to the surface of the plates.

Explanation / Answer

Here , we will use snell's law

ni * sin(i) = nr *sin(r)

1)

Using snell's law

1* sin(59) = 1.1 * sin(r)

r = 51.2 degree

the angle of refraction is 51.2 degree

2.

again using snell's law

1.1 * sin(51.2) = 1.25 * sin(r)

r = 43.3 degree

angle of refraction is 43.3 degree

3.

Now , using snell's law

1.25 *sin(43.3) = 1*sin(r)

r = 59

the angle of refraction in air is 59 degree

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