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A small sphere of mass m and carrying a ...

A small sphere of mass m and carrying a charge q is attached to one end of an insulating thread of length a , the other end of which is fixed at (0,0) as shown in figure . There exists a uniform electric field `vecE = - vecE_(0) hatj` in the region . The minimum velocity which should be given to the sphere at (a , 0) in the direction shown so that it is able to complete the circle around the origin is (There is no gravity )

A

`sqrt((5qE_(0)a)/(m))`

B

`sqrt((3qE_(0)a)/(m))`

C

`sqrt((qE_(0)a)/(m))`

D

`2sqrt((qE_(0)a)/(m))`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_("min" ) = sqrt(3 g'r)`
where g = `(qE)/(m)`
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