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Q.

A ray of light ab passing through air, enters a liquid of refractive index  μ1=1.2, at the boundary XY. In the liquid, the ray is shown as bc. The angle between ab and bc  in degree is  360  (angle of deviation). The ray then passes through a rectangular slab ABCD of refractive index  μ2=1.5(μ2>μ1), and emerges from the slab as ray de. The angle between XY and AB is  300. The angle (in degree) between ab and de is  4x. Find the value of  x.

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answer is 9.

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Detailed Solution

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There will be no deviation due to slab, hence the deviation is  90

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