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Summary

The critical ...

Question

The critical angle for a given transparent medium and air is $i_{c}$ . A ray of light travelling in air is incident on this transparent medium at an angle of incident equal to the polarising angle $i_{p}$ . What is the relation between the two angles $i_{c}$ and $i_{p}$ ?

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Solution

Refractive index $= n = tan i_{p}$
$∴ tan i_{p} = \frac{1}{sin i_{c}}$
$⟹ i_{p} = {tan}^{- 1} (c o s e c i_{c})$

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