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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 2.8m 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 mrror of the first one is:

A

`10m//s`

B

`15m//s`

C

`1//10m//s`

D

`1//15m//s`

Text Solution

Verified by Experts

The correct Answer is:
2
`(1)/(v)+(1)/(u)=(1)/(f)`
`-(1)/(v^(2))(dv)/(dt)-(1)/(u^(2))(du)/(dt)=0 rArr (dv)/(dt)=-(v^(2))/(u^(2))((du)/(dt))`
`f=20cm`
`(1)/(u)+(1)/(-280)=(1)/(20) rArr v=(280)/(15)cm`
`v_(1)=-((280)/(15xx280))^(2)xx15 =(1)/(15)m//s`
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