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QPage 383: Q7: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Page 383: Q7 Solution: Which of the following curves may represent the speed of the…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently confuse the velocity dependence ($v \propto 1/n$) with the energy or radius dependence ($E \propto 1/n^2$, $r \propto n^2$). Ensure you derive $v$ from the quantization condition $mvr = n\hbar/2\pi$ and the force balance $ke^2/r^2 = mv^2/r$ to confirm the linear inverse relationship.

Which of the following curves may represent the speed of the electron in a hydrogen atom as a function of principal quantum number nn?

Multiple Choice Options

  • A Curve a
  • B Curve b
  • C Curve c
  • D Curve d

Step-by-Step Verified Solution

**Answer:** Curve c. **Step-by-Step Explanation:** The speed of the electron in a hydrogen atom is v _ 1/n. Curve c represents this inverse relationship.

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