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A convex lens of focal length f produces...

A convex lens of focal length f produces an image 1/n times the size of the object. The distance of the object from the lens is

A

`(n+1)f`

B

`(n-1)f`

C

nf

D

`(f)/(n)`

Text Solution

Verified by Experts

The correct Answer is:
A
Magnification `=(h.)/(h)=(v)/(u)`
`rArr (v)/(u)=(1)/(n)rArr v=(u)/(n)`
For convex lens, u is - ve in the lens formula.
`(1)/(v)-(1)/(-u)=(1)/(f)rArr(1)/(v)+(1)/(u)=(1)/(f)`
`(n)/(u)+(1)/(u)=(1)/(f)rArr ((n+1))/(u)=(1)/(f)`
`rArr" "u=f(n+1)`
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