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An X-ray tube operates at 27 kV. Find th...

An `X-`ray tube operates at `27 kV`. Find the maximum speed of an electron striking the anticathode. Given mass of electron `=9xx10^(31)kg` and charge on electron `=1.6xx10^(-19)C`.

Text Solution

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The correct Answer is:
`9.79xx10^(7)ms^(-1)`
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An X-ray tube operates at 20k V . Find the maximum speed of the electron strinking the anode , given the charge of electron is 1.6 xx 10^(-19) coulomb and mass of electron is 9 xx 10^(-31) kg .

If the free electron density of copper is 8.6xx10^(28)m^(-3) and resistivity of copper at room temperature is 1.7xx10^(-6)Omega cm , find the relaxation time for the free electrons of copper. Given, mass of electron =9.1xx10^(-31) kg , and charge of electron =1.6xx10^(-19)C .

Knowledge Check

  • An electron is accelerated by a potential difference of 12000 volts. It then enters a uniform magnetic field of 10^(-3)T applied perpendicular to the path of electron. Find the radius of path. Given mass of electron =9xx10^(-31)kg and charge on electron =1.6xx10^(-19)C

    A
    `36.7m`
    B
    `36.7m`
    C
    `3.67m`
    D
    `3.67m`

  • If maximum velocity with which an electron can be emitted is (mass of electron =9xx10^(-31) kg)

    A
    30 volt
    B
    45 volt
    C
    59 volt
    D
    Information is insufficient

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    Explore conceptually related problems

    An X-ray tube is operated at 15 kV. Calculate the upper limit of the speed of the electrons striking the target.

    In the Bohr model of hydrogen atom, the electron is treated as a particle going in a circle with the centre at the proton. The proton itself is assumed to be fiex in an inertial frame. The centripetal force is provided byi the Coloumb attraction. In the ground state, the electron goes round the proton in a circle of radius 5.3xx10^-11m . Find the speed of the electron in the ground state. Mass of the electron =9.1xx10^-31 kg and charge of the electron = 1.6xx10^-19C .

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    Calculate the velocity with which electrons in a cathode ray tube strike the anode when 30, 000 V is operating between the cathode and anode of the tube. (mass of electron =9xx10^(-31)kg , charge of electron =1.6xx10^(-19) C ).

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