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A car is fitted with a convex side-view ...

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

A

`(1)/(10)m//s`

B

`(1)/(15) m//s`

C

10 m/s

D

15 m/s

Text Solution

Verified by Experts

The correct Answer is:
B
Mirror formula : `(1)/(v) + (1)/(-280) = (1)/(20) rArr v = (280)/(15) cm`
`v_("image") = ((v)/(u))^(2) v_("object") rArr v_("image") = ((280)/(15 xx 280))^(2) 15, rArr v-("image") = -(1)/(15) m//s`
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