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An object is placed at a distance of 6 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image.

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An object is placed at a distance of 6 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image.

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u = -6 cm, f = 12 cm, v = ?

We know that

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

⇒ \(\frac{1}{v}\) + \(\frac{1}{-6}\) = \(\frac{1}{12}\)

⇒ \(\frac{1}{v}\) = \(\frac{1}{12}\) + \(\frac{1}{6}\) = \(\frac{3}{12}\)

v = \(\frac{1}{4}\)cm

∴ v = 4 cm

Image will be formed 4 cm behind the mirror.

Since the images is formed behind the convex mirror, it is virtual and erect.

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