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A small object is so placed in front of a convex lens of 5 cm focal length that a virtual image is formed at a distance of 25 cm. Find the magnification.

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A small object is so placed in front of a convex lens of 5 cm focal length that a virtual image is formed at a distance of 25 cm. Find the magnification.

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f = 5 cm

v = -25 cm (virtual image)

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

\(\frac{1}{-25}\) - \(\frac{1}{u}\) = \(\frac{1}{5}\)

\(\frac{1}{u}\) = -\(\frac{1}{25}\) - \(\frac{1}{5}\)

= -\(\frac{6}{25}\)

u = -\(\frac{25}{6}\)

Magnification, m = \(\frac{v}{u}\) = \(\frac{-25}{\frac{-25}{6}}\) 

= +6

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