1.

A luminous point object is moving along the principal axis of a concave mirror of focal length 12cm towards it. When its distance from the mirror is 20cm its velocity is `4cm//s`. The velocity of the image in `cm//s` at that instant isA. `6`towards the mirrorB. `6` away form the mirrroC. `9`away form the mirrorD. `9`towards the mirror.

Answer» Correct Answer - C
`(1)/(v)+(1)/(u)=(1)/(f) rArr(1)/(v)+(1)/(-20)=(1)/(-12) rArr v=-30cm`
Differentiling equation`(1)/(v)+(1)/(u)=(1)/(f)`w,r.t.time
`-(1)/(v^(2))(dv//dt)-(1)/(u^(2))(du//dt)=0`
` dv//dt=-((v)/(u))^(2)xxdu//dt rArr =-(30/(20))^(2) xx4=9cm//s`
`dv//dt=9cm//s`a way from the mirror.


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