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A system of coordinatees is drawn in a m...

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 -

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)`

Text Solution

Verified by Experts

The correct Answer is:
A
Using Snells law
` 2sin60^(@)=(2)/(1+H^(2)).sin90^(@)`
`H=((2)/(sqrt(3))-1)^(1//2)`
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Knowledge Check

  • A concave lens having a material of refractive index mu_(1) is kept in a medium of R.I. mu_(2) , where mu_(1) lt mu_(2) . A parallel beam of light is incident on the lens. The concave lens will act as

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    A
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