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Q.

In an 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 an angle of 450 with the x-axis meets the experimental curve at P. The coordinates of P will be:

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a

(f,f)

b

(4f,4f)

c

f2,f2

d

(2f,2f)

answer is D.

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Detailed Solution

From U-V graph

Question Image

slope=tan45o=Vuv=u

1f=1v1u

1f=1v1v

v=2f=u

P(2f,2f)

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