Question

The indexes of refraction for violet light ($\mathit{\lambda }$= 400 nm) and red light ($\mathit{\lambda }$= 700 nm) in diamond are 2.46 and 2.41, respectively. A ray of light traveling through airstrikes the diamond surface at an angle of 53.5° to the normal. Calculate the angular separation between these two colors of light in the refracted ray.

Short answer

The angle of separation between the two colours is$0.4144°$

Step-by-step solution

Snell’s law

The part of the light that continues into the second medium is transmitted rather than reflected, but the transmitted Ray changes direction as it crosses the boundary. Refraction is the transmission of light from one medium to another with a change in direction. Snell's law describes the angles of incidence and refractive right.

Here;

Angular separation between two colors of light

For violet colour;

For the red light;

The angle of separation between the two colours is the difference between the angles of refraction in both circumstances.

Hence, angle of separation between the two colours is