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  4. A lens forms a real image of an object. The distance from the object to the lens is x cm and that from the lens to the image is y cm. the graph (Fig.) shows the variation of y with x. It can be deduced that the lens is

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Q. A lens forms a real image of an object. The distance from the object to the lens is $x cm$ and that from the lens to the image is $y \,cm$. the graph (Fig.) shows the variation of $y$ with $x$. It can be deduced that the lens isPhysics Question Image

Ray Optics and Optical Instruments

Solution:

A diverging lens if ruled out because both $x$ and $y$ are positive values. Both $x$ and $y$ equal $20 \,cm$ at their smallest sum, which occurs when
$x+y=40 \,cm =4 f$
$\therefore f=10 \,cm$
This indicates a converging lens of focal length. $=10 \,cm$