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A particle of the mass m and cgharge ...

A particle of the mass ` m ` and cgharge ` q` moves with a constant velocity `v` along the positive x- direction . It enters a region containing a uniform magnetic field `B` directed along the minimum value of `v` required so that the particle can just enter the region ` xgtb` is

A

`(qbB)/(m)`

B

`(q(b-A) B)/(m)`

C

`(qaB)/(m)`

D

`(q(b+a)B)/(2m)`

Text Solution

Verified by Experts

The correct Answer is:
B

width of the magnetic field region `(b-a)le R`, where 'R' is its radius of curvature inside magnetic field,
:. `R = (mv)/(q^(B)) ge( b-a) rArr v_(min) = ((b-a)q^(B))/(m)`
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