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 `0 le x le 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
.

`d(1-sin theta)`

`d(1-cos theta)`

`d sintheta`

`d cos theta`

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The correct Answer is:

Snell's law =`mu_(0) sin (90^(@)- theta)=mu_(0)(1-x/d) sin 90^(@)rArr (1-x/d) = cos thetarArr x=d(1-cos theta)`

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