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QPage 383: Q9: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Page 383: Q9 Solution: The energy of an atom or ion) in its ground state is _54.4 eV.…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often substitute the ion’s net charge (+1, +2, …) for the atomic number $Z$ in the Bohr energy formula $E_n=-13.6\,Z^2/n^2$ eV, leading to wrong ground‑state energies (e.g., treating Li$^{++}$ as $Z=2$). Remember that $Z$ is the number of protons in the nucleus, independent of how many electrons are removed.

The energy of an atom or ion) in its ground state is _54.4 eV. It may be

Multiple Choice Options

  • A hydrogen
  • B deuterium
  • C He+^+
  • D Li++^{++}

Step-by-Step Verified Solution

**Answer:** (c), (d). **Step-by-Step Explanation:** For He_ (Z=2), ground state energy = -13.6 _ 4 = -54.4 eV. For Li__ (Z=3), ground state energy = -13.6 _ 9 = -122.4 eV. Both are possible.

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