Question

The index of refraction of silicate flint glass for red light is 1.620 and for violet light is 1.660. A beam of white light in this glass strikes the glass–air interface at a 22.50° angle of incidence and refracts out into air. What is the angular separation between the red and violet components of the spectrum that emerges from the glass?4

Answer 1

Answer:

0.33 degree

Explanation:

refractive index for red light = 1.62

refractive index for violet light = 1.66

angle of incidence, i = 22.5 degree

Use Snell's law for the red light

refractive index for red light = Sin i / Sin r

Where r be the angle of refraction for red light

1.62 = Sin 22.5 / Sin r

Sin r = 0.2362

r = 13.66 degree

Use Snell's law for the violet light

refractive index for violet light = Sin i / Sin r'

Where r' be the angle of refraction for violet light

1.66 = Sin 22.5 / Sin r'

Sin r' = 0.23053

r' = 13.33 degree

Angular separation between red and violet components = r - r'

                                                                  = 13.66 - 13.33 = 0.33 degree