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Question

A single electron ion has nuclear charge +Ze where Z is atomic number and e is electronic charge. It requires 16.52eV to excite the electron from the second Bohr orbit. Find
(a) The atomic number of element?
(b) The energy required for transition of electron from first to third orbit?
(c) Wavelength of photon required to remove electron from first Bohr orbit to infinity?
(d) The kinetic energy of electron in first Bohr orbit?

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Solution

Position is n1=2n2=3
:Δε=47.2eV
we have Δε=13.6 z2(1n211n22)eV
47.2=13.6z2(122132)
z=5
5 is the atomic number of the element.

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