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Q.

A ray of light is incident normally on one face 300600900 prism of refractive index μp=53 immersed in water of refractive index μm=43 as shown in the figure.

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a

The exit angle θ2 of the ray is sin1(58)

b

The exit angle θ2 of the ray is sin1(543)

c

Total internal reflection at point P ceases if the refractive index of water is increased to n>523 by dissolving some substance.

d

Total internal reflection at point P ceases if the refractive index of water is increased to n>56 by dissolving some substance.

answer is A, C.

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Detailed Solution

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μ1sinθ1=μ2sinθ2, 53sin300=43sinθ2, θ2=sin1(58)

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For total internal reflection at P, we use  53sin600<n, n>523

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