## A ray of light strikes the midpoint of one face of an equiangular (60°–60°–60°) glass prism (n = 1.5) at an angle of incidence of 39.8°. (a)

Question

A ray of light strikes the midpoint of one face of an equiangular (60°–60°–60°) glass prism (n = 1.5) at an angle of incidence of 39.8°. (a) Trace the path of the light ray through the glass, and find the angles of incidence and refraction at each surface.

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6 months 2021-07-22T03:15:13+00:00 1 Answers 17 views 0

## Answers ( )

a

The path of light ray through the glass is shown on the first uploaded image

First surface:

Angle of  incidence is

Angle of  refraction  is

Second surface:

Angle of  incidence is

Angle of  refraction  is

b

Since the angle of incidence is equal to the angle of reflection

Then at the first surface the angle of reflection  is

And at the first surface the angle of reflection  is

Explanation:

From the question we are told that

The angle of incidence is

The refractive index of the prism is

The angle of the prism is

The path of light ray through the glass is shown on the first uploaded image

For the first surface of the prism

According to Snell’s law

The refractive index of air  has a constant value of  1

Now making  the angle of refraction at the first surface of the prism the subject

For the second  surface of the prism

looking at the diagram on the first uploaded image the angle of incidence is mathematically evaluated  as

Substituting values

According to Snell’s law

Now making  the angle of refraction at the second surface of the prism the subject

Substituting values into the equation