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If 'R' is the radius of dees and 'B' be ...

If 'R' is the radius of dees and 'B' be the magnetic field of induction which positive charges (q) of mass (m) escapes from the cyclotron, then its maximum speed `(V_(max))` is

A

`(qR)/(Bm)`

B

`(qm)/(BR)`

C

`(qBR)/(m)`

D

`(m)/(qBR)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If m is the mass, Q is the charge and B is the magnetic induction, m//BQ has the same dimensions as:

    A
    frequency
    B
    Time
    C
    Velocity
    D
    Acceleration
  • If the radius of the dees of cyclotron is r then the kinetic energy of a proton of mass m accelerated by the cycloton at an oscillating frequency v is

    A
    `4pi^(2)m^(2)v^(2)r^(2)`
    B
    `4pi^(2)mv^(2)r^(2)`
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    `pi^(2)mv^(2)r^(2)`
  • In a certain region of space, there exists a uniform and constant electric field of strength E along x-axis and uniform constant magnetic field of induction B along z-axis. A charge particle having charge q and mass m is projected with speed v parallel to x-axis from a point (a, b, 0). When the particle reaches a point 2a, b//2 , 0 its speed becomes 2v. Find the value of electric field strength of m, v and co-ordinates.

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    `3/2 (mv^2)/(qa)`
    B
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