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

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
`1/v-1/(-u)=1/f , u/v + 1 = u/f`
`(1/m + 1)=u/f , ((m+1))/m=u/f`
Also, u+v=x
`1+v/u=x/u , (1+m)=x/u`
Multiplying equations. (i) and (ii),
`((m+1)^2)/m =x/f , f=(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