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Q.

A ray of light is incident normally an one face of  30°60°90° prism of refractive index 53 immersed in water of refractive index  43 as shown in figure.

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a

The exit angle θ2  of the ray is  sin158

b

The exit angle  θ2 of the ray is sin1543

c

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

d

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

answer is A.

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Detailed Solution

Use Snell's law and critical angle formula      FROM geometry θ1 is found to be 300    

 μ1sinθ1=μ2 sinθ2

53 ×12=43sin θ2 then θ2=sin-158

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