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QPage 383: Q12: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Page 383: Q12 Solution: Which of the following parameters are the same for all…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often think the electron’s angular momentum changes with nuclear charge because the speed scales as $Z$ while the radius scales as $1/Z$. However, $L=m_e v r$ and the $Z$ factors cancel, and for the ground state $l=0$ so $L=0$ for every hydrogen‑like atom. Remember that the quantum number $l$ fixes $L$, not the nuclear charge.

Which of the following parameters are the same for all hydrogen-like atoms and ions in their ground states?

Multiple Choice Options

  • A Radius of the orbit
  • B Speed of the electron
  • C Energy of the atom
  • D Orbital angular momentum of the electron

Step-by-Step Verified Solution

**Answer:** (d) Orbital angular momentum of the electron. **Step-by-Step Explanation:** For all hydrogen-like atoms in ground state, the orbital angular momentum is _ (same for all).

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