Some hydrogen-like atoms in ground state absorbs ‘n’ photons having same the energy and on de-excite

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Some hydrogen-like atoms in ground state absorbs ‘n’ photons having same the energy and on de-excitement, it emits exactly ‘n’ photons. The energy of absorbed photon may be

Accepted Answer

Per atom only one photon is emitted out and hence, the concerned transition is 2 → 1.$\Delta E = 13.6Z^{2}\left( \frac{1}{1^{2}} - \frac{1}{2^{2}} ight) = 10.2Z^{2}	ext{ eV}$

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