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A motor car is fitted with a convex driving mirror of focal length 20 cm. A second motor car 2 m broad and 21.6 m high is 6 m away from first car. The position of second car as seen in mirror of the first car is

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a

15.4 cm

b

17.4 cm

c

19.4 cm

d

25 cm

answer is C.

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Detailed Solution

$f = 20 cm \begin{array}{l} u = - 600 cm \\ v = ? \\ \frac{1}{f} = \frac{1}{v} + \frac{1}{u} \end{array} \begin{array}{l} \frac{1}{20} = \frac{1}{v} - \frac{1}{600} \\ \frac{1}{v} = \frac{1}{20} + \frac{1}{600} \\ \frac{1}{v} = \frac{30 + 1}{600} \\ \frac{1}{v} = \frac{31}{600} \\ v = \frac{600}{31} cm \\ v = 19 .4 cm \end{array}$

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