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  4. For total internal reflection to take place, the angle of incidence i and the refractive index μ of the medium must satisfy the inequality

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Q. For total internal reflection to take place, the angle of incidence $i$ and the refractive index $\mu$ of the medium must satisfy the inequality

Ray Optics and Optical Instruments

Solution:

For total internal reflection $i > C$
$\Rightarrow \sin i > \sin C \Rightarrow \sin i > \frac{1}{\mu} $
$\Rightarrow \frac{1}{\sin i} < \mu$