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Problem-6.7 : Consider a hydrogen-like atom whose energy in nth excited state is given by E, =-5. when this excited atom makes transition from excited state to ground state most energetic photons have energy Emax = 52.224eV and least energetic photons have energy Emin = 1.224eV. Find the atomic number of atom and the state of excitation.

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Q1
Consider a hydrogen like atom whose energy in nth excited state is given by En=13.6n2Z2. When this excited atom makes a transition from an excited state to ground state. The most energetic photons have energy Emax=52.224eV and the least energetic photons have energy Emin=1.224eV. Find the atomic number of atom.
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Q2
Consider a hydrogen like atom whose energy in nth excited state is given by En=13.6Z2n2, when this excited atom make a transition from excited state to ground state, most energetic photons have energy Emax=52.224eV and least energetic photons have energy Emin=1.224eV. The atomic number of atom is
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Q3
Consider a hydrogen-like sample of gas whose energy in the nth excited state is given by En=13.6Z2n2eV. When the electron makes transitions from excited state to ground state, most energetic photons can have energy Emax=52.224eV and the least energetic photons can have energyEmin=1.224eV. The atomic number of the atom and the state of excitation are respectively
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Q4
A hydrogen like atom (atomic number $$Z$$) is in a higher excited state of quantum number $$n$$. This excited atom can make a transition to the first excited state by sucessively emitting two photons of energies $$10.20$$ and $$17.00\ eV$$, respectively Alternatively the atom from the same excited state can make a transition to the second excited state by successively emiting two photons of energies $$4.25$$ and $$5.95\ eV$$, respectively.
How much energy will be emitted when an electron in this atom moves from $$(n+1)$$to ground state?
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Q5
A hydrogen-like atom (atomic number Z) is in a higher excited state of the quantum number n. This excited atom can make a transition to the first excited state by successfully emitted to photons of energies 10.20eV and 17.00eV respectively.
Alternatively, the atom from the same excited state can make a transition to the second excites state by the successively emitting two photons of energy 4.25ev and 5.95ev respectively. Determine the values of n and Z (ionization energy of hydrogen atom =13.6eV).

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