JAMB - Physics (2024 - No. 72)

An object is placed 25cm in front of a convex mirror has its image formed 5cm behind the mirror. what is the focal length of the convex mirror
8.20cm
6.25cm
5.60cm
4.50cm

Explanation

Object distance (u) = -25 cm (negative because the object is in front of the mirror)
Image distance (v) = +5 cm (positive because the image is behind the convex mirror)

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

\(\frac{1}{f}\) = \(\frac{1}{-25}\) + \(\frac{1}{5}\)

f = \(\frac{25}{4}\) = 6.250cm.

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