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Atoms and Nuclei question

2018 · Shift 2 · Q49
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Atoms and Nuclei question

2018 · Shift 2 · Q49

JEE AdvancedPhysicsAtoms and NucleiNumerical+3 / −1
Consider a hydrogen-like ionized atom with atomic number ZZZ with a single electron. In the emission spectrum of this atom, the photon emitted in the n=2n=2n=2 to n=1n=1n=1 transition has energy 74.8eV74.8eV74.8eV higher than the photon emitted in the n=3n=3n=3 to n=2n=2n=2 transition. The ionization energy of the hydrogen atom is 13.6eV.13.6eV.13.6eV. The value of ZZZ is ‾\underline{\hspace{2cm}}​.
Numerical answer
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