question_answer

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\[45{}^\text{o}\]with the x-axis meets the experimental curve at P. The coordinates of P will be                                    [AIEEE 2009]

A) (2f, 2f)

B) \[\left( \frac{f}{2},\frac{f}{2} \right)\]

C) \[(f,\text{ }f)\]

D) \[(4f,\text{ }4f).\]