A system of coordinatees is drawn in a medium whose refractive index vaires as `mu=(2)/(1+Y^(2))` where `0 le y le 1`. A ray of light is incident at origin at an angle `60^(@)` with y-axis as shown in figure. At point P, the ray becomes parallel to x-axis, the volue of H is -

Options

A. `{((2)/(sqrt(3))-1)}^(1//2)`
B. `{(2)/(sqrt(3))}^(1//2)`
C. `{(sqrt(3)-1)}^(1//2)`
D. `{sqrt((3))+1}^(1//2)`

Answer

A

Explanation

Using Snells law
` 2sin60^(@)=(2)/(1+H^(2)).sin90^(@)`
`H=((2)/(sqrt(3))-1)^(1//2)`