In the given figure the radius of curvature of the equi convex lens is \( 10 \mathrm{~cm} \) and...

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In the given figure the radius of curvature of the equi convex lens is \( 10 \mathrm{~cm} \) and refractive index of its material is \( 1.5 \). A solid sphere of radius \( \mathrm{R}=15 \mathrm{~cm} \) having its refractive index \( 2.0 \) is placed coaxially with
\( P \) the lens such that the separation \( \mathrm{O}_{1} \mathrm{O}_{2}=25 \mathrm{~cm} \). Assuming rays originating from the source \( \mathrm{P} \) become parallel after passing through the lens and then pass through transparent solid sphere, finally intersecting
W at some point S. Find the distance PS (in cm).
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