Problem 3: A ray of light goes from point A in a medium in which the speed of light is v₁ to point B in a medium in which the speed is v₂. The ray strikes the interface a horizontal distance to the right of point (a) Show that the time required for the light to go from A to B is x² + h V₁ 21 0₂ √(1-x)² +h² V₂ (b) The actual path taken by the light is the one for which the time is minimum. Use this information to derive Snell's law n,sine, = n₂sino₂.

Problem 3: A ray of light goes from point A in a medium in which the speed of light is v₁ to point B in a medium in which the speed is v₂. The ray strikes the interface a horizontal distance to the right of point (a) Show that the time required for the light to go from A to B is x² + h V₁ 21 0₂ √(1-x)² +h² V₂ (b) The actual path taken by the light is the one for which the time is minimum. Use this information to derive Snell's law n,sine, = n₂sino₂.