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Question

A ray of light travelling in a transparent medium falls on a surface separating the medium from air at an angle of incidence $$45^{\mathrm{o}}$$ and undergoes total internal reflection. lf $$\mu$$ is the refractive index of medium the possible values of $$\mu$$ are


A
μ=1.3
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B
μ=1.4
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C
μ=1.5
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D
μ=1.6
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Solution

The correct options are
A $$\mu =1.5$$
C $$\mu =1.6$$
Since, the ray undergoes total internal reflection, 
$$ \mu > \dfrac{1}{sin c} $$

Now,$$ i = 45$$

Thus, $$sin \  c < sin  \ i $$

Thus, $$ \mu > \dfrac{1}{sin i} $$

OR, $$ \mu > \sqrt{2} $$

Physics

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