Question

Calculate the frequency, energy and wavelength of the radiation corresponding to spectral line of lowest frequency in Lyman series in the spectra of hydrogen atom. Also calculate the energy of the corresponding line in the spectra of ${Li}^{2+}$.

Answer 1

$\lambda =1.216\times {10}^{-7}m$, $v=2.47\times {10}^{15}$ $cycle$ ${sec}^{-1}$, $E=16.36\times {10}^{-19}J$, $E_{{Li}^{2+}}=Z^2\times E_H=9\times 16.36\times {10}^{-19}J=147.27\times {10}^{-19}J$.