HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Page 383: Q4 Solution: In which of the following transitions will the wavelength be…

QPage 383: Q4: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Page 383: Q4 Solution: In which of the following transitions will the wavelength be…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often incorrectly assume that the energy difference between consecutive levels is constant, leading them to believe that the smallest quantum number jump (e.g., $n=1$ to $n=2$) or the largest jump (e.g., $n=5$ to $n=4$) determines the wavelength. In reality, the energy levels are non-uniformly spaced with $E_n \propto -1/n^2$, so the gap between $n=2$ and $n=1$ is significantly larger than any other adjacent transition, resulting in the minimum wavelength.

In which of the following transitions will the wavelength be minimum?

Multiple Choice Options

A $n = 5$ to $n = 4$
B $n = 4$ to $n = 3$
C $n = 3$ to $n = 2$
D $n = 2$ to $n = 1$

Step-by-Step Verified Solution

**Answer:** (d) n = 2 to n = 1. **Step-by-Step Explanation:** The largest energy difference (shortest wavelength) is for the transition from n=2 to n=1.

QPage 383: Q4: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Page 383: Q4 Solution: In which of the following transitions will the wavelength be…

Multiple Choice Options

Step-by-Step Verified Solution

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