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Question

# A particle of charge q and mass m moves in a circular path of radius r in a uniform magnetic field B at a speed v.The particle is replaced with a particle of identical mass and charge q, moving at speed v.The radius of the new circular path the particle makes is:

A
14r
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B
12r
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C
r
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D
2r
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E
4r
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Solution

## The correct option is E rThe radius of charged particle q (mass=m), moving with velocity v, perpendicular to magnetic field B is given by, r=mv/qBr=mv/qas new particle has same mass, same charge and same velocity v, therefore radius r will be same for new particle,now if new particle has charge - q, then by Fleming's left hand rule, it will experience a force in the opposite direction as experienced by charge q, therefore path of new particle will be counter-clockwise.

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