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An erect image 2.0 cm high is formed 12 cm from a lens, the object being 0.5 cm high. Find the focal length of the lens.

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An erect image 2.0 cm high is formed 12 cm from a lens, the object being 0.5 cm high. Find the focal length of the lens.

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\(h_2\) = 2 cm (Erect image)

v = -12 cm (Erect image)

\(h_1\) = 0.5 cm

m = \(\frac{v}{u}\) = \(\frac{h_2}{h_1}\)

\(\frac{-12}{u}\) = \(\frac{2}{0.5}\)

u = -3 cm

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

\(\frac{1}{-12}\) - \(\frac{1}{-3}\) = \(\frac{1}{f}\)

\(\frac{-1 + 4}{12}\) = \(\frac{1}{f}\)

f = 4 cm

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