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The diagram show a small bead of mass m ...

The diagram show a small bead of mass `m` carrying charge `q`. The bead can freely move on the smooth fixed ring placed on a smooth borizontal plane . In the same pane a charge ` +Q` has also been fixed as shown. The potential at the point ` P` due to ` +Q` is `V` . The velocity which the bead should projected from the point `P` so that it can complete a circle should be greater than .

A

` sqrt ( (6qV)/(m))`

B

`sqrt ((qV)/(m))`

C

` sqrt( (3qV)/(m))`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
From energy conservation
` QV + 1/2 mu^2 =Q. 4 V + 0 rArr 1/2 mu^2 = 3 QV`
` rArr u = sqrt ( 6 QV)/m` .
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