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The refractive index of the prism will be √2
Explanation:
From the figure we can see that the ray strikes the face AC at an angle of incidence of 45°
As we can see the ray does not undergo refraction at the face AC but is reflected back.
Hence the value of the critical angle is 45°
Therefore,
sin C = sin 45 = 1/√2
we know that,
μ = 1/sin C
=> μ = 1/sin45 = √2
Hence the refractive index of the prism will be √2
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