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The Figure (a) shows two media having re...

The Figure (a) shows two media having refractive index `mu` and `mu'` with MM' as boundary. A ray of light AO is incident at the boundary and gets refracted.

In order to construct the refracted ray graphically a teacher suggests to draw a line PQ parallel to the incident ray AO. With P as centre, two circular arcs are drawn having radii `kmu` and `kmu'` where k is a positive number. The arcs intersect the line PQ at R and T respectively. From R, a line is drawn parallel to normal NN' and it intersects the other arc at S. Prove that the refracted ray is parallel to line PS.

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