Let the x-z plane be the boundary between two transparent media. Medium 1 in `zge0` has a refractive index of `sqrt2` and medium 2 with `zlt0` has a refractive index of `sqrt3`. A ray of light in medium 1 given by the vector `vecA=6sqrt3hati+8sqrt3hatj-10hatk` is incident on the plane of separation. The angle of refraction in medium 2 is:

Options

A. `45^circ`
B. `60^circ`
C. `74^circ`
D. `30^circ`

Answer

A

Explanation

Angle of incidence is given by
`cos(pi-i)=((6sqrt3hati+8sqrt3hatj-10hatk).hatk)/(20)`
`-cosi=-(1)/(2)`
`anglei=60^circ`
From Snell's law, `sqrt2sini=sqrt3sinr`
`angler=45^circ`