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A convex lens of focal length 25 cm prod...

A convex lens of focal length 25 cm produces images of the same magnification 2, when an object is kept at two positions `x_(1)` and `x_(2) (x_(1) gt x_(2)) ` from the lens. The ratio of `x_(2)` and `x_(1)` is

A

` 4 : 3 `

B

` 2 : 1 `

C

` 5 : 3`

D

` 3 : 1 `

Text Solution

Verified by Experts

The correct Answer is:
D
`m = ((f)/(f + u)) `
`- 2 = (f)/( f - x_(1)) rArr - 2 = (20)/( 20 - x_(1))`
`rArr x_(1) = 30 cm `
`2 = (f)/( f - x _(2)) rArr 2 = (20)/( 20 - x_(2))`
`rArr x_(2) = 10 cm `
`(x_(1))/( x_(2)) = (3)/(1)`
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