Intext example problem III — task. Science State Board, Class 9.

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A car is fitted with a convex mirror of focal length \(20\) \(cm\). Another car is \(6\) \(m\) away from the first car. Find the position of the second car as seen in the mirror of the first. What is the size of the image if the second car is \(2\) \(m\) broad and \(1.6\) \(m\) high?

The position of the image is found by using the formula

$\frac{1}{f} = \frac{1}{v} - \frac{1}{u}$
$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$

By applying the value of \(f\) and \(u\)

The position of the image is \(cm\) from the mirror.

The magnification of the image is found by using the formula

$m = \frac{v}{u}$
$m = - \frac{v}{u}$

By applying the known values in the formula, we get

\(m\) \(=\)

The height of the image is \(cm\)

The breadth of the image is \(cm\)

(Answer should be in whole number)

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