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Calculate the energy of hydrogen atom in...

Calculate the energy of hydrogen atom in the ground state given that the after Bohr orbit og hydrogen is `5xx10^(-11)m` and electronic charge is `1.6xx10^(-19) C`.

Text Solution

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The correct Answer is:
`-2.304xx10^(-18) J`
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Calculate the energy of the electron in the ground state of the hydrogen atom.

Calculate the frequency of revolution of an electron in a hydrogen atom assuming that the radius of the first Bohr orbit is 5 xx 10^(-11) m. Mass of electron = 9.0 xx 10^(-31) kg , charge of electron = 1.6 xx 10^(-19) C, (1)/(4pi epsilon_(0))=9xx10^(9) SI units.

Knowledge Check

  • The energy of an electron in the nth Bohr orbit of hydrogen atom is

    A
    `-(13.6)/(n^(4))`eV
    B
    `-(13.6)/(n^(3))`eV
    C
    `-(13.6)/(n^(2)) ` eV
    D
    `-(13.6)/(n) ` eV

  • Energy of electron of hydrogen atom in second Bohr orbit is

    A
    `-5.44 xx 10^(-19) J`
    B
    `-5.44 xx 10^(-19) kJ`
    C
    `-5.44 xx 10^(-19) ` cal
    D
    `-5.44 xx 10^(-19) ` eV

  • In first Bohr orbit of hydrogen atom, the velocity of electron would be (given that radius of first Bohr orbit is 0.53xx10^(-10)m)

    A
    `2.2xx10^(6)m//s`
    B
    `3.3xx10^(6)m//s`
    C
    `1.1xx10^(6)m//s`
    D
    `4.4xx10^(6)m//s`

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    Calculate the electric potential energy of an electron-proton system of an atom . The radius of the orbit of the electron is 21.16xx10^(-11) m the charge on electron is 1.6xx10^(-19)C .

    Calculate the radius of the third Bohr orbit of hydrogen atom and energy of electron in third Bohr orbit of hydrogen atom.

    Calculate the energy of an electron in the second Bohr's orbit of an excited hydrogen atom the energy of electron in the first Bohr orbit is -2.18 xx 10^(-11) erg

    Calculate the radius of second Bohr orbit in hydrogen atom from the given data. Mass of electron =9.1xx10^(-31)" kg" Charge on the electron =1.6xx10^(-19)C Planck's constant =6.63xx10^(-34)" J-s". Permittivity of free space =8.85xx10^(-12)"C"^(2)//"Nm"^(2) .

    In hydrogen atom find magnetic field at center in ground. State if Bohr's radius is r_(0) = 5xx 10^(-11) m.

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