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Q.

A glass prism ABC of refractive index 1.6 is immersed in a liquid as shown in Fig. A ray of light incident normally on face AB is totally reflected at face AC if the refractive of the liquid is

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a

less than 0.82

b

equal to 43

c

equal to 1.2

d

lies between 0.8 2 and 0.83

answer is A.

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Detailed Solution

The ray falling normally on face AB goes into the prism undeviated and is incident on face AC at an angle i = θ = 45°. If μ1 is the refractive index of the liquid, the ray incident on AC will be totally reflected if

           sin θμlμg      μlμg  sin θ      μl1.6 sin 45°      μl0.82

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