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Q.

A car is fitted with a convex side -view mirror of focal length 20cm. A second car 2.8m behind the first car is overtaking the first car at relative speed of 15m/s. The speed of the image of the second car as seen in the mirror of the first one is

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a

1/15 m/s

b

10 m/s

c

15 m/s

d

1/10 m/s

answer is A.

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Detailed Solution

1f=1v+1u, 120=1v-1280⇒v=28015cm Vi=v2u2V0 Vi=28015 x 2802 x 15 ; Vi=115ms-1
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A car is fitted with a convex side -view mirror of focal length 20cm. A second car 2.8m behind the first car is overtaking the first car at relative speed of 15m/s. The speed of the image of the second car as seen in the mirror of the first one is