Hydrogen like atoms (atomic number \( =Z \) ) in a sample are in excited state with principal qu...

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Hydrogen like atoms (atomic number \( =Z \) ) in a sample are in excited state with principal quantum number \( n \). The emission spectrum of the sample has 15 different lines. The second most energetic photon emitted by the sample has energy of \( 117.5 \mathrm{eV} \). Find \( Z \).
(a) \( Z=2 \)
(b) \( Z=4 \)
(c) \( Z=3 \)
(d) \( Z=7 \)
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