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Questions  

Under the influence of a uniform magnetic field a charged particle is moving in a circle of radius R with constant speed v. The time period of the motion

a
depends on v and not on R
b
depends on both R and v
c
is independent of both R and v
d
depends on R and not on v

detailed solution

Correct option is C

To move on circular path in a magnetic field, a centripetal force is provided by the magnetic force. When magnetic field is perpendicular to motion of charged particle, thenCentripetal force = magnetic forceThat is mv2R =Bqv  or R=mvBqFurther, time period of the motionT=2πRv =2πmvBqv  or  T=2πmBqIt is independent of both R and v.

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