Question

A ray of light from a liquid is incident on a system of two right angled prism of refractive indices as shown in the figure. The light suffers zero net deviation when it emerges into air from surface CD. If the angle of incidence (in degrees) is . Find n ?

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Solution
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Correct option is A)

First, we apply the law of refraction for the interface AC,
The incident angle will be



Now, for the interface CD,


Thus,

We have two equations in i and r,  squaring and adding these 2,
we get,

This gives,

Thus,

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