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Refraction of light

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Question

A system of coordinates is drawn in a medium whose refractive index varies as μ=21+y2, where 0y1 A ray of light is incident at origin at an angle 600 with y –axis as shown in the figure. At point P ray becomes parallel to x-axis. Find the value of ‘H’.

Moderate
Solution

Applying Snell’s law between the points O and P, we have
2×sin60=sin90×21+H2, 2×32=1×21+H21+H2=23, H=231


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