JAMB - Physics (2001 - No. 11)

The driving mirror of a car has a radius of curvature of 1m. A vehicle behind the car is 4m from the mirror. Find the image distance behind the mirror.
8/7
4/9
9/2
4/7

Explanation

Thus if r = 1m 
f = 1/2 =  0.5m
∴ if U = - 4m (object behind mirror)
f = 0.5m

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

-\(\frac{1}{4}\) + \(\frac{1}{v}\) = \(\frac{1}{0.5}\)

\(\frac{1}{v}\) = 2 + \(\frac{1}{4}\)

\(\frac{1}{v}\) = \(\frac{1+ 8}{4}\)

\(\frac{1}{v}\) = \(\frac{9}{4}\)

v = \(\frac{4}{9}\)

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