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A system of coordinates is drawn in a medium whose refractive index varies as μ=21+y2, where 0≤y≤1 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’.

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Detailed Solution

Applying Snell’s law between the points O and P, we have2×sin⁡60∘=sin⁡90∘×21+H2, 2×32=1×21+H21+H2=23, H=23−1

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A system of coordinates is drawn in a medium whose refractive index varies as μ=21+y2, where 0≤y≤1 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’.