An electron in a singly ionised helium atom ( , ) is revolving in the second Bohr orbit.

CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

An electron in a singly ionised helium atom (He+\mathrm{He}^{+}, Z=2Z = 2) is revolving in the second Bohr orbit. (a) Calculate the energy of the electron in this orbit in eV. (b) Determine the energy required to ionise the atom when the electron is in this orbit. (c) If the energy calculated in part (b) is supplied entirely by a single photon, find the wavelength of the photon. (Take h=6.63×10−34 J sh = 6.63 \times 10^{-34}\,\text{J s}, c=3.00×108 m s−1c = 3.00 \times 10^{8}\,\text{m s}^{-1}, 1 eV=1.60×10−19 J1\,\text{eV} = 1.60 \times 10^{-19}\,\text{J}.)

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