SUMMARY
The energy required to remove the remaining electron from a singly ionized helium atom (He+, Z = 2) is calculated using the Bohr model. The energy levels are defined by the equation E ∝ Z/n², where Z is the atomic number and n is the principal quantum number. For He+, with Z = 2 and n = 1, the energy is -54.4 eV, indicating that 54.4 eV is needed to ionize the atom. The correct answer is (d) 54.4 eV.
PREREQUISITES
- Understanding of the Bohr model of the atom
- Familiarity with quantum numbers and energy levels
- Knowledge of the relationship between energy, atomic number, and principal quantum number
- Basic grasp of photon energy equations (Ei - Ef = hf)
NEXT STEPS
- Study the derivation of the Bohr model equations for hydrogen-like atoms
- Learn about ionization energy calculations for multi-electron atoms
- Explore the concept of energy levels in quantum mechanics
- Investigate the significance of the Rydberg formula in atomic spectra
USEFUL FOR
Students studying atomic physics, educators teaching quantum mechanics, and anyone interested in the properties of hydrogen-like atoms and their ionization energies.