Question

A narrow beam of white light is incident on a sheet of quartz. Thebeam disperses in the quartz, with red light (λ˜700nm)traveling at an angle of 26.3^o with respect to thenormal and violet light (λ˜400nm) traveling at25.7^o. The index of refraction of quartz for red lightis 1.45. What is the index of refraction of quartz for violetlight?

Answer 1

Angle of refraction for red light θ_r =26.3

Angle of refraction for violet light θ_v =25.7

the index of refraction for red light μ_r =1.45

Using Snell's law we have

For Redlight,        μ_a Sinθ_i = μ_r Sinθ_r

                             1* Sinθ_i = 1.45* Sin 26.3

                               Or θ_i   =39.97

For Violetlight,     μ_aSinθ_i = μ_vSinθ_r

                     1 *Sin39.97 = μ_v * Sin 25,7

                             Or μ_v = 1.48