Question

what is derivation of Snell's law :::????

Answer 1

Let the refractive index of medium 1 and medium 2 are n1 and n2  respectively. Light enters from medium 1 to medium 2 through the point O. Here, θ1 is the angle of incidence; θ2 is the angle of refraction.

The traveling velocities of light in medium 1 and medium 2 are given by:





Where ‘c’ is the speed of light in vacuum

Let T be the time required for the light to travel from point P to point Q.





=0—————— (1)



Substitute the values in equation 1, we get





Substitute the values of v1 and v2,





Hence proved