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A long rectangular slab of transparent m...

A long rectangular slab of transparent medium of thickness d placed on a table with its length parallel to the x-axis and width parallel to the axis. A ray of light travelling inair makes a near normal incidence on the slab as shown. Taking the point of incidence as orign (0,0,0). The refraction index `mu` of the medium varies as `mu=(mu_(0))/(1-(x/r)` where `mu_(1)` and `r(gtd)` are constants. The refractive index of air is `mu_(0)`

The x-coordinate of the point A where the ray intersects the upper surface of the slab air boundary is

A

`r{1-sqrt(1-(d/r)^(2))}`

B

`r{1+sqrt(1-(d/r)^(2))}`

C

`r{1-sqrt(1+(d/r)^(2))}`

D

`r{1+sqrt(1+(d/r)^(2))}`

Text Solution

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The correct Answer is:
A
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