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A lens of focal length 20 cm is used to produce a ten times magnified image of a film slide on a screen. How far must the slide be placed from the lens?

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A lens of focal length 20 cm is used to produce a ten times magnified image of a film slide on a screen. How far must the slide be placed from the lens?

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f = 20 cm

m = -10 (Image is real)

u = ?

m = \(\frac{v}{u}\) = -10

v = -10u

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

\(\frac{1}{-10u}\) - \(\frac{1}{u}\) = \(\frac{1}{20}\)

\(\frac{-1 - 10}{10u}\) = \(\frac{1}{20}\)

\(\frac{-11}{10u}\) = \(\frac{1}{20}\)

u = -22 cm

v = -10 x -22 = 220 cm

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