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A proton of charge e and mass "m" is acc...

A proton of charge e and mass "m" is accelerated in a cyclotron having an oscillator frequency f.The magnetic induction of the field in the cyclotron is B.If the radius of the D's is r ,the kinetic energy of the protons that come out of the cyclotron is

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Protons are accelerated in a cyclotron so that the maximum curvature radius of their trajectory is equal to r = 50 cm . Find: (a) the kinetic energy of the protons when the acceleration is completed if the magnetic induction in the cyclotron is B = 1.0 T , (b) the minimum frequency of the cycloroton's oscillator at which the kinetic energy of the protons amounts to T = 20 Me V by the end of accelearation.

Describe the motion of a charged particle in a cyclotron if the frequency of the oscillating electric field were doubled.

Knowledge Check

  • The oscillating frequency of a cyclotron is 10 MHz . If the radius of its Dees is 0.5 m , the kinetic energy of a proton which is accelerated by the cyclotron is

    A
    `10.2 Me V`
    B
    `2.55 Me V`
    C
    `20.4 Me V`
    D
    `5.1 Me V`
  • A cyclotron's oscillator frequency is 10 MHz . The operating magnetic field for accelerating protons is

    A
    `0.66T`
    B
    `0.12T`
    C
    `1.67T`
    D
    `0.36T`
  • A proton is accelerating on a cyclotron having oscillating frequency of 11 MHz in external magnetic field of 1 T. If the radius of its dees is 55 cm, then its kinetic energy (in MeV) is is (m_(p)=1.67xx10^(-27)kg, e=1.6xx10^(-19)C)

    A
    13.36
    B
    12.52
    C
    14.89
    D
    14.49
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    A cyclotron has oscillatory frequency of 3 xx 10^(7) Hz and a dee radius of 60 cm. A deuteron is accelerated in the given cyclotron. Find the magnitude of magnetic field used to accelerate the deuteron. Also, calculate the energy possessed by the deutron after coming out from the cyclotron (in MeV). Take, mass of deutron = 3.34 xx 10^(-27) kg

    A cyclotron's oscillator frequency is 10MHz . What should be the operating magnetic field fro accelerating protons? If the radius of its dees is 60cm , what is the kinetic energy (in MeV ) of the proton beam produced by the acceleration? (e-1.60xx10^-19C,m_p=1.67xx10^-27kg, 1MeV=1.6xx10^-13J)

    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

    In a cyclotron , if the frequency of proton is 5MHz , the magnetic field necessary for resosnance is

    The maximum energy of a deuteron coming out a cyclotron is 20 MeV. The maximum energy of proton that can be obtained from this acceleration is