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A plano-convex of refractive index 1.5 and radius of curvature 30 cm is silvered at the curved surface. Now this lens has been used to form the image of an object. At what distance from this lens, an object be placed in order to have a real image of the size of the object?

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Solution

Verified by Toppr

From lens makers formula, 1fl=(μ−1)(1R1−1R2)=(1.5−1)(1∞−1−30)=160

Also, the focal length of the combination can be given by :

−1F=2fl−1fm

−1F=260−1−15

⇒F=−10cm

Hence the object should be placed at a distance 2F=2×10cm=20cm from lens to get a real image of the same size of the object.

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