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Question

In the given figure, the face $A C$ of the equilateral prism is immersed in a liquid of refractive index '$n$'. For incident angle $60^{\circ}$ at the side $A C$, the refractive light beam just grazes along face $A C$. The refractive index of the liquid $n=\frac{\sqrt{x}}{4}$. The value of $x$ is ____________.

(Given refractive index of glass $=1.5$ )

 

Correct Answer
27

Solution

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