Question

Let the x-z plane be the boundary between two transparent media. Media 1 in `zge0` has 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` in incident on the plane of separation. The angle of refraction in medium 2 is
A. `30^@`
B. `45^@`
C. `60^@`
D. `75^@`

Answer 1

Correct Answer - B
`mu_1=sqrt2`, `mu_2=sqrt3`
Angle made by `vecA` with z-axis
`cosi=(10)/(sqrt((6sqrt3)^2+(8sqrt3)^2+(-10)^2))=(10)/(20)=1/2`
`i=60^@`
`mu_1sini=mu_2sinr`
`sqrt2sin60^@=sqrt3sinr`
`sinr=1/sqrt2=sin45^@`
`r=45^@`