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An electron is launched with velocity ve...

An electron is launched with velocity `vec v` in a uniform magnetic field `vec B.` The angle `theta` between `vec v and vec B` lies between 0 and `pi /2`. Its velocity vector `vec v` returns to its initial value in a time interval of

A

`(2pi m)/(eB)`

B

`(2xx2pi m)/(eB)`

C

`(pi m)/(eB)`

D

depends upon between `vec v and vec B`

Text Solution

Verified by Experts

The correct Answer is:
A

Time interval in which `vecv` returns to its initial value is
same as time period of the particle, hence the required time
`=(2pim)/(eB)`
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Knowledge Check

  • A charge particle moves with velocity vec(V) in a uniform magnetic field vec(B) . The magnetic force experienced by the particle is

    A
    always zero
    B
    zero, if `vec(B) and vec(V)` are perpendicualr
    C
    zero, if `vec(B) and vec(V)` are parallel
    D
    zero, if `vec(B) and vec(V)` are inclined at `45^(@)`
  • An electron moves with a velocity vec(v) in are electric field vec(E) if the angle between vec(V) and Vec(E) is neither 0 nor pi ,then path followed by the electron is

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    straight line
    B
    circle
    C
    ellipse
    D
    parabola
  • If the angle between the vectors vec A and vec B is theta , the value of the product (vec B xx vec A) cdot vec A is equal to

    A
    `BA^(2) sin theta`
    B
    `BA^(2) cos theta`
    C
    `BA^(2) sin theta cos theta`
    D
    zero
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