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What is the position of the image when an object is placed at a distance of 20 cm from a concave mirror of focal length 20 cm?

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What is the position of the image when an object is placed at a distance of 20 cm from a concave mirror of focal length 20 cm?

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Object distance, u = -20 cm

Focal length, f = -20 cm (concave mirror)

Image distance, v = ?

We know that

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

\(\frac{1}{v}\) + \(\frac{1}{-20}\) = \(\frac{1}{-20}\)

\(\frac{1}{v}\)= 0

∴ v = infinity

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