Home
Class 12
PHYSICS
A convex lens of focal length f is place...

A convex lens of focal length `f` is placed somewhere in between an object and a screen. The distance between the object and the screen is `x`. If the numerical value of the magnification produced by the lens is `m`, then the focal lnegth oof the lens is .

A

`(mx)/((m+1)^(2))`

B

`(mx)/((m-1)^(2))`

C

`((m+ 1)^(2))/(m)` x

D

`((m- 1)^(2))/(m)` x

Text Solution

Verified by Experts

The correct Answer is:
A
`- m = (v)/(-u) and v + u = x `
`rArr u + mu = x rArr u = (x)/(1+ m )`
`(1)/(f) = (1)/(v) - (1)/(u)`
`rArr f = (uv )/(u - v) = (mx)/((m + 1)^(2))`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The distance between an object and a divergent lens is m times the focal length of the lens. The linear magnification produced by the lens is

A convex lens of focal length f produces a real image 3 times as that of size of the object, the distance between the object and the lens is

The distance between the object and the real image formed by a convex lens is d. If the linear magnification is m, find the focal length of the lens in terms of d and m.

In a convex lens of focal length F, the minimum distance between an object and its real image mus be -

A convex lens of focal length f produces a virtual image n times the size of the object. Then the distance of the object from the lens is