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Explain plane wave refraction from denser to rarer medium using Huygen's principle.
Solution

Let speed of light in denser medium is $v_{1}$ and in rarer medium is $v_{2}$ and $v_{2}>v_{1}$.
Refracted ray moves away from the perpendicular when it goes from the denser medium to rarer medium.
At certain incident angle, angle of refraction becomes $90^{\circ}$. This angle is called critical angle $i_{c}$
From Snell's law,
$n_{1} \sin i=n_{2} \sin r$
If $i=i_{c^{\prime}}$, then $r=90^{\circ}$ hence $\sin 90^{\circ}=1$
$\therefore \sin i_{c}=\frac{n_{2}}{n_{1}}$
We will not find any refraction ray for all the angles greater than the critical angle.
Rarer medium for which $v_{2}>v_{1}$, the refraction of incident plane on it refracted away from perpendicular of plane wave. This is shown in figure.