Question

A beam of light of wavelength 550 nm traveling in air is incident on a slab of transparent material. The incident beam makes an angle of 40.0o with the normal to the surface, and the refracted beam makes an angle of 26.0o with the normal. What is the index of refraction n of the material?

Answer 1

Data provded in the question;

Wavelength of the beam of light = 550 nm

Angle of incidence = 40^o

Angle of refraction = 26^o

^{​​​​​}Let refractive index of air and slab be and respectively.

For air;

Therefore, using Smell's Law;

Substituting the respective values;

We obtain

​​​​​​Hence, refractive index of the material is 1.467