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In an optics ecperiment, with the positi...

In an optics ecperiment, 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 image distance `v` from the lens, is plotted using the same scale for the two axes. A straight line passing through origin and making an angle of `45^(@)` with the x-axis meets the experiment curve at `P`. The coordinate of `P` will be

A

`((f)/(2),(f)/(2))`

B

(f,f)

C

`(4f,4f)`

D

`(2f,2f)`

Text Solution

Verified by Experts

The correct Answer is:
3

`(1)/(v)-(1)/(u)=(1)/(f) "since" v=-u`
`(1)/(v)-(1)/(-v)=(1)/(f) rArr v=2f and u=-2f`
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