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QPage 383: Q10: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Page 383: Q10 Solution: The radius of the shortest orbit in a one-electron system is 18 …

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In the Bohr model the orbital radius is $r_n = a_0 n^2/Z$; the nucleus’s mass only enters via the reduced mass, which alters the radius by less than 1 % for H vs D. Thus the shortest orbit among one‑electron species is set by the largest $Z$, not by a heavier isotope.

The radius of the shortest orbit in a one-electron system is 18 pm. It may be

Multiple Choice Options

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

Step-by-Step Verified Solution

**Answer:** (d) Li__. **Step-by-Step Explanation:** For a one-electron system, r_ = a_/Z. The shortest radius is for the largest Z, which is Li__ (Z=3).

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