In an optics experiment, with the position of the object fixed, a… | JEE Main 2009 (AIEEE)

Q104JEE Main 2009 · AIEEEMedium

Spherical Surfaces & Thin Lenses

In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance $u$ and the image distance $v,$ from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of $45^\circ$ with the $x$ -axis meets the experimental curve at $P.$ The coordinates of $P$ will be:

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Answer: (d)

The $45^\circ$ line through the origin is $|u| = v$ .
For a convex lens $|u| = v$ only when the object is at $2f$ .
So $P = (2f, 2f)$ , answer (d).

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