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Q. A sample of hydrogen gas in its ground state is irradiated with photons of $10.2 \, eV$ energies. The radiation from the above sample is used to irradiate two other samples of excited ionized $He^{+}$ and excited ionized $Li^{2 +}$ , respectively. Both the ionized samples absorb the incident radiation. How many spectral lines are obtained in the spectra of $Li^{2 + ?}$

NTA AbhyasNTA Abhyas 2020Atoms

Solution:

$Li^{+ 2}$ is excited from $n=3$ to $n=6$
no of spectral lines
So, $N=\frac{n \left(n - 1\right)}{2}$
$N=15$