Question

A ray of red light, for which n = 1.54 , and a ray of violet light, for which n = 1.59, travel through a piece of glass. They meet right at the boundary between the glass and the air, and emerge into the air as one ray with an angle of refraction of 22.5 degrees.

What is the angle between the two rays in the glass?
Δθ = ________degrees
.

Answer 1

0.46

Step-by-step explanation:

From Snell's law

`n_r\theta_1= n_(air)\theta_2`

Where n_{air} is refractive index of air whose value is taken as 1

For red light

`1.54\theta_1= 1*22.5`

`\theta_1=\frac {1*22.5}{1.54}=14.61038961`

For violet light

`1.59\theta_1= 1*22.5`

`\theta_1=\frac {1*22.5}{1.59}=14.1509434`

Difference

14.61038961 -14.1509434 =0.459446214

Approximately 0.46 degrees