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 28.30 ∘ angle of incidence and refracts out into the air. What is the angular separation between the red and violet components of the spectrum that emerges from the glass?

The angular separation between the red and violet components of the spectrum that emerges from the glass is 1.72°

Explanation:

Given:

Refractive index for red light

Refractive index for violet

Refractive index for air

Incident angle 28.30°

According to the snell's law,

For red light,

Where transmitted angle for red light

    50.18°

For violet light,

Where transmitted angle for violet light

    51.9°

Angular separation between red and violet light is given by,

  1.72°

Therefore, the angular separation between the red and violet components of the spectrum that emerges from the glass is 1.72°