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Calculate the energy of the electron in ...

Calculate the energy of the electron in the ground state of the hydrogen atom.

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To calculate the energy of the electron in the ground state of the hydrogen atom, we can use the formula derived from the Bohr model of the hydrogen atom. The energy of the electron in the nth energy level is given by: \[ E_n = -\frac{m_e e^4}{8 \epsilon_0^2 h^2 n^2} \] Where: - \( E_n \) is the energy of the electron in the nth state, ...
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Energy of an electron in a particular orbit of single electron species of beryllium is the same as the energy of an electron in the ground state of hydrogen atom . Identify the orbit of beryllium

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Knowledge Check

  • If R_(H) represents Rydberg constant, then the energy of the electron in the ground state of hydrogen atom is

    A
    `- (hc)/(R_(H))`
    B
    `- (1)/(R_(H) ch)`
    C
    `-R_(H) ch`
    D
    `- (R_(H)c)/(h)`
  • If R_(H) is the Rydberg constant, then the energy of an electron in the ground state of Hydrogen atom is

    A
    `R_(H)//C`
    B
    `R_(H)h//C`
    C
    `(hc)/(R_(H))`
    D
    `R_(H)hc`
  • The potential energy of the orbital electron in the ground state of hydrogen atoms is -E, what is the kinetic energy?

    A
    `4E`
    B
    `2E`
    C
    `E/2`
    D
    `E/4`
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    Hydrogen atom: The electronic ground state of hydrogen atom contains one electron in the first orbit. If sufficient energy is provided, this electron can be promoted to higher energy levels. The electronic energy of a hydrogen-like species (any atom//ions with nuclear charge Z and one electron) can be given as E_(n)=-(R_(H)Z^(2))/(n^(2)) where R_(H)= "Rydberg constant," n= "principal quantum number" Calculate the following : (a) the kinetic energy (in eV) of an electron in the ground state of hydrogen atom. (b) the potential energy (in eV) of an electron in the ground state of hydrogen atom.