Define lateral displacement of light. Give a formula to find refractive index of glass slab in terms of angle of incidence and angle of emergence.

Lateral displacement is defined as the shift in the original path of the light ray after coming out from the light ray laterally.

The diagram is

Let the refractive index be μ

Thickness be t

Then lateral displacement = x

Angle of refraction is r

Angle incidence is i

Then refractive index will be

x = t/cosr x sin( i x r)

Lateral displacement is defined as the shift in the original path of the light ray after coming out from the light ray laterally.

Refractive index can be calculated using the formula

x = t/cosr x sin( i x r)