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A particle of specific charge 'alpha' is...

A particle of specific charge `'alpha'` is projected from origin at `t=0` with a velocity `vec(V)=V_(0) (hat(i)-hat(k))` in a magnetic field `vec(B)= -B_(0)hat(k)`. Then : (Mass of particle =1 unit)

A

At `t=pi/(alphaB_(0))`, velocity of the particle is `-V_(0)(hat(i)-hat(k))`

B

At `t=pi/(4 alphaB_(0))`, speed of the particle is `V_(0)`

C

At `t=(2pi)/(alpha B_(0))`, magnitude of displacement of the particle is more than `(2V_(0))/(alpha B_(0))`

D

At `t=(2pi)/(alpha B_(0))`, distance travelled by the particle is less than `(2sqrt(2)piV_(0))/(alpha B_(0))`.

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Knowledge Check

  • A charged particle of specific charge (charge/mass) alpha released from origin at time t=0 with velocity vec v = v_0 (hat i + hat j) in uniform magnetic field vec B = B_0 hat i. Coordinates of the particle at time t= pi//(B_0 alpha) are

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