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JEE PHYSICS MCQ: RAY OPTICS

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The two surfaces of a biconvex lens has same radii of curvatures. This lens is made of glass of refractive index 1.5\mathrm{1}\mathrm{.5} and has a focal length 10  cm\mathrm{10}\,\,\mathrm{cm} in air. The lens is cut into two equal halves along a plane perpendicular to its principle axis to yield two plano-convex lenses. The two pieces are glued such that the convex surfaces touch each other. If this combination lens is immersed in water (refractive index =4 / 3\mathrm{ = 4}\,\mathrm{/}\,\mathrm{3}), its focal length (in cm) is
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Correct option: D
40
Option D (40) is correct because when the lens is cut and glued back together, its focal length in air remains the same, but when immersed in water, the focal length changes due to the change in refractive index, resulting in a focal length of 40 cm.

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