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Q.

A ray of light travelling in transparent medium falls on a surface separating the medium from air at an angle of incidence of $45^{0}$ . The ray undergoes total internal reflection. If n is the refractive index of the medium with respect to air, select the possible value(s) of n from the following:

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a

1.3

b

1.4

c

1.5

d

1.6

answer is C, D.

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Detailed Solution

. For total internal reflection to take place: angle of incidence $i >$ critical angle,
$θ_{c} [w h e r e \sin θ_{c} = \frac{1}{n}]$ Or $\sin 45^{0} > \frac{1}{n} o r \frac{1}{\sqrt{2}} > \frac{1}{n} o r > \sqrt{2} o r n > 1.414$
Therefore, possible values of n can be 1.5 or 1.6 in the given options

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