In the given figure, the face AC of the equilateral prism is immersed in a liquid of refractive index ' n '. For incident angle 6 0 ∘ at the side AC , the refracted light beam just grazes al

Question

In the given figure, the face AC of the equilateral prism is immersed in a liquid of refractive index ' n '. For incident angle $6 0^{\circ}$ at the side AC , the refracted light beam just grazes along face AC . The refractive index of the liquid $n = \frac{x}{4}$ . The value of x is $____$ . (Given refractive index of glass $= 1.5$ )

TestHub · Accepted Answer

Apply Snell law at the first prism face and use the equilateral-prism geometry. At AC, grazing refraction means the internal incidence is the critical angle for glass-liquid. n = 4 27 ​ ​ x = 27

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