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Q. 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 $45^o$ with the x-axis meets the experimental curve at P. The coordinates of P will be

AIEEEAIEEE 2009Ray Optics and Optical Instruments

Solution:

It is possible when object kept at centre of curvature.
$u = v$
$u = 2f, v = 2f.$

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