Q.

A ray of light is incident normally on one face of 30°– 60°– 90° prism of refractive index 5/3 immersed in water of refractive index 4/3 as shown in figure. 

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a

The exit angle θ2 of the ray is sin1(5/43)

b

Total internal reflection at point P ceases if the refractive index of water is increased to 5/6 by dissolving some substance.

c

Total internal reflection at point P ceases if the refractive index of water is increased to 5/23 by dissolving some substance 

d

The exit angle θ2 of the ray is sin–1(5/8) 

answer is A, C.

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Detailed Solution

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μpsin300=μwsinθ2 5312=43sinθ2,  sinθ2=58  θ2=sin158 
exit angle 
 for θc to be 60, μwsin90=μgsin60 μw=5332=523

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