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A doubly ionized lithium atom is hydroge...

A doubly ionized lithium atom is hydrogen like with atomic number 3. Find the wavelength of the radiation required to excite the electron in `Li^(++)` from to the third Bohr orbit (ionization energy of the hydrogen atom equals 13.6 eV).

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Verified by Experts

The correct Answer is:
`113.74A^(@)`

`Z=3,n_(1)=1, " "n_(2)=3`
`E_(n)=13.6xx(Z^(2))[(1)/(n_(1)^(2))-(1)/(n_(2)^(2))]=13.6xx9[(1)/(1)-(1)/(9)]`
`13.6xx9xx(8)/(9)=108.8eV`
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ALLEN-ATOMIC STRUCTURE-Exercise - 04[A]
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  3. A doubly ionized lithium atom is hydrogen like with atomic number 3. F...

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  4. Estimate the difference in energy between the first and second Bohr'...

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  7. The energy of an excited H-atom is -3.4eV. Calculate angular momentum ...

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  9. The hydrogen atom in the ground state is excited by means of monochrom...

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  10. If the average life time of an excited state of hydrogen is of the ord...

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  11. Calculate the velocity of an electron in the first Bohr orbit of a ...

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  12. A single electron orbits around a stationary nucleus of charge + Ze wh...

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  13. Stationary He^(o+) ion emits a photon corresponding to the first line ...

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  14. To what series does the spectral lines of atomic hydrogen belong if ...

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  15. A particle of charge equal to that of an electron and mass 208 times t...

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  18. Calculate the binding energy per mole when threshold wavelength of pho...

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