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# A ray of light from a liquid (μ=√3) is incident on a system of two right angled prism of refractive indices √3and√2 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 5n. Find n ? Solution
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#### First, we apply the law of refraction for the interface AC,The incident angle will be 90−i√3sin(90−i)=√2sinr√3cosi=√2sinrNow, for the interface CD,√2sin(90−r)=siniThus, √2cosr=siniWe have two equations in i and r, squaring and adding these 2,we get,2cos2i+1=2This gives, cos i=1√2Thus, i=45

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