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Calculate the energy of an electron in t...

Calculate the energy of an electron in the first Bohr orbit of`He^(+)`.

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To calculate the energy of an electron in the first Bohr orbit of the helium ion \( He^{+} \), we can follow these steps: ### Step 1: Understand the formula for energy levels in the Bohr model The energy of an electron in the nth orbit of a hydrogen-like atom is given by the formula: \[ E_n = -\frac{13.6 \, \text{eV} \cdot Z^2}{n^2} \] where: ...
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Knowledge Check

  • What is the energy of He electron in first orbit ?

    A
    `40.8 eV`
    B
    `-27.2 eV`
    C
    `-54.4 eV`
    D
    `-13.6 eV`

  • 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

  • The energy of an electron in the first Bohr orbit of H atom is -13.6 eV . The possible energy value (s) of the excited state (s) for electron in Bohr orbits of hydrogen is (are)

    A
    `-3.4 eV`
    B
    `-4.2eV`
    C
    `-6.8 eV`
    D
    `-1.5 eV`

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