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A ray hits the y-axis making an angle th...

A ray hits the y-axis making an angle `theta` with y-axis as shown in the figure. The variation of refractive index with x-coordinate is `mu=mu_0 (1-(x)/(d))` for `0lt=xlt=d(1-(1)/(mu_0))` and `mu=mu_0` for `x lt 0`, where d is a positive constant. The maximum x-coordinate of the path traced by the ray is

A

`d(1-sin theta)`

B

`d(1 - cos theta)`

C

`d sin theta`

D

`d cos theta`

Text Solution

Verified by Experts

The correct Answer is:
B
Snell's law `= mu_(0) sin (90^(@) -0)`
`=mu_(0)(1-(x)/(d))sin 90^(@) rArr (1-(x)/(d))= cos theta`
`rArr x =d(1- cos theta)`.
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