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A tightly-wound, long solenoid has n tur...

A tightly-wound, long solenoid has n turns per unit length, a radius r and carries a current i. A particle having charge q and mass m is projected from a point on the axis in a direction perpendicular to the axis. What can be the maximum speed for which the particle does not strike the solenoid?

A

`(mu_0qrni)/(2m)`

B

`(mu_0qrni)/m`

C

`(2mu_0qrni)/(3m)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`r/2=`radius of circular path
`=(mv)/(Bq)=(mv)/((mu_0ni)(q))`
`:. v=(mu_0qrni)/(2m)`
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