1.

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 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 :

Answer»

`(1)/(15)m//s`
10m/s
15m/s
`(1)/(10)m//s`

SOLUTION :(a) `(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 = 20 cm
`(1)/(v) + (1)/(-280) = (1)/(20) rArrv = (280)/(15)cm`
`THEREFORE (dv)/(dt)=-((280)/(15xx280))^(2)xx15=(1)/(15)ms^(-1).`


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