A Plano $$-$$ convex lens of refractive index $$1.5$$ and radius of curvature $$30cm$$ 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 and object be placed in order to have a real image of the size of the object

Question

A Plano $$-$$ convex  lens of refractive index $$1.5$$ and radius of curvature $$30cm$$ 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 and object be placed in order to have a real  image of the size of the object

Infinity Learn · Accepted Answer

$$1F=2fg+1fm1F=2($$μg−$$1)1R+2R$$⇒$$2$$μ$$RF=R2$$μ⇒$$10cm$$  Given ϑ$$=u$$∴$$1f=1V$$−$$1$$−$$u=1V+1u=2uu=2f=2$$×$$10=20cm$$

A Plano - convex lens of refractive index 1.5 and radius of curvature 30cm 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 and object be placed in order to have a real image of the size of the object

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