Question

What orbital radius is obtained for the electron in a hydrogen atom?

Options

• \[r=5.3\times10^{-18}\,\mathrm{m}\]

• \[r=2.2\times10^6\,\mathrm{m}\]

• \[r=5.3\times10^{-11}\,\mathrm{m}\]

• \[r=9.1\times10^{-31}\,\mathrm{m}\]

Answer 1

Using the negative total energy in the radius–energy relation gives \[r=5.3\times10^{-11}\,\mathrm{m}\]. This is the orbital radius of the electron in the hydrogen atom.