Energy required for the electron excitation in Li^++ from the first to the third Bohr orbit is: - Physics MCQ FIITJEE AIEEE 2011 (Set Q) 2026 | ExamTest.live

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

Solution & Step-by-step Explanation

Energy of n -th orbit: E_{n} = - 13.6 \frac{Z ^{2}}{n ^{2}} eV .For Li^{++}, Z = 3 .Excitation energy Δ E = E_{3} - E_{1} : Δ E = - 13.6 \times 3^{2} (\frac{1}{3 ^{2}} - \frac{1}{1 ^{2}}) = - 13.6 \times 9 \times (\frac{1}{9} - 1) Δ E = - 13.6 \times 9 \times (- \frac{8}{9}) = 13.6 \times 8 = 108.8 eV

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

36.3 eV

108.8 eV

122.4 eV

12.1 eV

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