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Ray Optics And Optical Instruments

Question
CBSEENPH12039588

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

  • (2f, 2f)

  • (f/2, f/2)

  • (f,f)

  • (4f, 4f)

Solution

A.

(2f, 2f)

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