Physics · Bohr model, energy levels, hydrogen spectrum
An electron with energy 12.09 eV strikes hydrogen atom in ground state and gives
An electron with energy 12.09 eV strikes hydrogen atom in ground state and gives its all energy to the hydrogen atom. Therefore hydrogen atom is excited to
- A. Fourth
- B. Third
- C. second
- D. First
Step-by-step solution
The ground state energy of hydrogen is -13.6 eV. Energy absorbed to go from n=1 to n=n is ΔE = 13.6(1 - 1/n²) eV. Setting ΔE = 12.09 eV gives 1 - 1/n² = 12.09/13.6 ≈ 0.88897, so 1/n² ≈ 0.11103, n² ≈ 9.006, thus n=3. Hence the atom is excited to the third energy level.
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