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Find the quantum number n corresponding...

Find the quantum number `n` corresponding to the excited state of `He^(o+)` ion if on transition to the ground state that ion emits two photon in succession with wavelength `108.5` and `30.4 nm`

Text Solution

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The correct Answer is:
`n=5`
`E(ev)=(1240)/(lambda(nm))`
Energy of 1st photon `=(1240)/(108.5)=11.428eV`
Energy of 2st photon `=(1240)/(30.4)=40.79eV`
`En=52.217-54.4=-2.182eV(E_(1)=-54.4eV)`
`-2.182=(13.6xx4)/(n^(2))implies n=5`
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