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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 the first to the third Bohr orbit (ionization energy of the hydrogen atom equals 13.6 eV).

Text Solution

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`E_(n) = - (13.6 Z^(2))/(n^(2)) e V. E_(1) = - (13.6 xx 3^(2))/(1^(2)) = - 122.4 e V`.
` E_(3) = - (13.6 xx 3^(2))/(3^(2)) = - 13.6 e V`.
The corresponding wavelength is `lambda = (12375)/(E_(3) - E_(1)) = 113.74 Å`
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