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At what distance from a converging lens of focal length 12 cm must an object be placed in order that an image of magnification 1 will be produced?

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At what distance from a converging lens of focal length 12 cm must an object be placed in order that an image of magnification 1 will be produced?

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f = 12 cm

m = 1

m = \(\frac{v}{u}\) = 1

⇒ v = u

Lens formula: \(\frac{1}{v}\) - \(\frac{1}{u}\) = \(\frac{1}{f}\)

Putting the value of v, u and f

\(\frac{1}{u}\) - \(\frac{1}{-u}\) = \(\frac{1}{12}\) (image distance is negative)

\(\frac{2}{u}\) = \(\frac{1}{12}\)

u = 24 cm

The object should be placed at a distance of 24 cm to from the lens (on the left side).

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