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QPage 383: Q6: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Page 383: Q6 Solution: In which of the following systems will the wavelength…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume the $n=2$ to $n=1$ transition wavelength is identical for all hydrogen-like species, ignoring that the energy levels scale with $Z^2$. To find the minimum wavelength (maximum energy), you must maximize the nuclear charge $Z$ in the Rydberg formula, making the highest $Z$ (Lithium) the correct choice.

In which of the following systems will the wavelength corresponding to n=2n = 2 to n=1n = 1 be minimum?

Multiple Choice Options

  • A Hydrogen atom
  • B Deuterium atom
  • C Singly ionized helium
  • D Doubly ionized lithium

Step-by-Step Verified Solution

**Answer:** (d) Doubly ionized lithium. **Step-by-Step Explanation:** 1/_ _ Z_. The shortest wavelength (largest energy) is for the largest Z, which is Li__.

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