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 t

Question

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

Accepted Answer

(2f, 2f). The coordinates of point P represent the object and image distances where the lens formula (1/f = 1/v + 1/u) holds true. Since the line at 45° indicates that u = v, and given the nature of a convex lens, the point where both distances equal 2f satisfies the lens equation, confirming that (2f, 2f) is the correct answer.

Solution

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