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  4. In an experiment with a convex lens. The plot of the image distance (v*) against the object distance (μ prime) measured from the focus gives a curve v prime μ prime=225. If all the distances are measured in cm. The magnitude of the focal length of the lens is cm.

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Q. In an experiment with a convex lens. The plot of the image distance $\left(v^*\right)$ against the object distance $\left(\mu^{\prime}\right)$ measured from the focus gives a curve $v^{\prime} \mu^{\prime}=225$. If all the distances are measured in $cm$. The magnitude of the focal length of the lens is ___ $cm$.

JEE MainJEE Main 2022Ray Optics and Optical Instruments

Solution:

$ v u=f^2 $ (by Newton's formula)
$ f^2=225 $
$ f=15\, cm $