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A positive point charge is released fro...

A positive point charge is released from rest at a distance `r _ 0 ` from a positive line charge with uniform density. The speed (v) of the point charge, as a function of instantaneous distance r from line charge, is proportional to:

A

`vprop((r)/(r_(o)))`

B

`vpropln((r)/(r_(o)))`

C

`vpropsqrt(ln((r)/(r_(o))))`

D

`vprope^(+r//r_(o))`

Text Solution

Verified by Experts

The correct Answer is:
C
`DeltaKE+DeltaU=0`
`((1)/(2)mv^(2)-0)+q(v_(f)-v_(i))=0`
`(1)/(2)mv^(2)+q[-2klambdaln((r)/(r_(o)))]=0`
`(1)/(2)mv^(2)=2klambdaqln((r)/(r_(o)))`
`v=[(4klambdaq)/(m)ln((r)/(r_(o)))]^(1//2)`
`implies vpropsqrt(ln"(r)/(r_(0)))`
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