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Plane Surface Refraction...

Plane Surface Refraction

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Plane surface of a thin planoconvex lens reflects 50% of light, while the curved surface is completely transparent, if final image of O after refraction through lens coinsides with the image formed due to partial reflection from plane surface. if distance (in m) between O and lens is x then find x//4

A thin plano-convex lens acts like a concave mirror of focal length 0.2m when silvered from its plane surface.The refractive index of the material of the lens is 1.5 .The radius of curvature of the convex surface of the lens will be: 0.1m

The focal length of a thin convex-lens is 30cm. At a distance of 10 cm from the lens there is a plane refracting surface fo refractive inidex 3//2 Where will parallel rays incident on lens converge?