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Q.

ACB is right-angled prism with other angles as 60° and 30°. Refractive index of the prism is 1.5. AB has thin layer of liquid on it as shown. Light falls normally on the face AC. For total internal reflections, maximum refractive index of the liquid is

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a

1.4

b

1.3

c

1.2

d

1.6

answer is B.

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Detailed Solution

Clearly, ic≤60°So. maximum possible value of ic is 60°Now, μg=1sin ic μgμ1=1sin icor       μ1=μg sin ic = 1.5 sin 60° = 1.5 ×32                =1.5 × 0.866 = 1.299 = 1.3
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ACB is right-angled prism with other angles as 60° and 30°. Refractive index of the prism is 1.5. AB has thin layer of liquid on it as shown. Light falls normally on the face AC. For total internal reflections, maximum refractive index of the liquid is