Engineering
Physics
Bohrs Model of Atom
Question

Energy required for the electron excitation in Li++ from the first to the third Bohr orbit is :

12.1 eV

122.4 eV

108.8 eV

36.3 eV

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Solution

\({E_1} = - \frac{{13.6{{(3)}^2}}}{{{{(1)}^2}}}\)

\({E_3} = - \frac{{13.6{{(3)}^2}}}{{{{(3)}^2}}}\)

\ DE = E3 – E1

\( = 13.6{(3)^2}\left[ {1 - \frac{1}{9}} \right]\)

\( = \frac{{13.6 \times 9 \times 8}}{9}\)

DE = 108.8 eV