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A thin equiconvex lens of refractive ind...

A thin equiconvex lens of refractive index `3//2` is placed on a horizontal plane mirror as shown in figure. The space between the lens and the mirror is filled with a liquid of refractive index `4//3` . It is found that when a point object is placed 15 cm above the lens on its priincipal axis, the object coincides with its own image.

Q. The radius of curvature of the convex surface is

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A thin equiconvex lens of refractive index 3//2 is placed on a horizontal plane mirror as shown in figure. The space between the lens and the mirror is filled with a liquid of refractive index 4//3 . It is found that when a point object is placed 15 cm above the lens on its priincipal axis, the object coincides with its own image. Q. If another liquid is filled instead of water, the object and the image coincide at a distance 25 cm from the lens. Calculate the refractive index of the liquid.

A thin equiconvex lens of refractive index 3//2 is placed on a horizontal plane mirror as shown in figure. The space between the lens and the mirror is filled with a liquid of refractive index 4//3 . It is found that when a point object is placed 15 cm above the lens on its priincipal axis, the object coincides with its own image. Q. If another liquid is filled instead of water, the object and the image coincide at a distance 25 cm from the lens. Calculate the refractive index of the liquid.

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A thin bi-convex lens made up of glass of refractive index 3//2 is placed is front of a plane mirror. The space between the lens and the mirror is filled with water of refractive index 4//3 . The radii of curvatures of the lens are R_(1)=15cm and R_(2)=25 cm . A point object is placed at distance x from the surface whose curvature is R_(1) . The distance x is greater than the separation between the lens and the mirror. Find the value of x so that image must coincide with the object.

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