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A unifrom magnetic field B existis in t...

A unifrom magnetic field B existis in the space between two coaxial cylinders of radius 'a' and 'b' respectivelly. The direction of magnetic field is parallel to the axis of the cylinder a shown in figure . A negatively charged particle of change -q and mass m is projected from teh outer surface of inner cyclinder with an initial velocity `v_(0)` in the radialy outward direction . The minimum value to of magnetic field so that the particle does not hit the surface of the outer cyclinder is

A

`(mv_(0))/( 2q(b-a)`

B

`(2mv_(0)b)/(q(b^(2)-a^(2)))`

C

`(2mv_(0))/(qsqrt(b^(2)-a^(2)))`

D

`(2mv_(0))/(q (b+a))`

Text Solution

Verified by Experts

The correct Answer is:
B
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