KCET · Physics · Atomic Physics
When electron jumps from \( n=4 \) level to \( n=1 \) level, the angular momentum of electron
changes by
- A \( \frac{h}{2 \pi} \)
- B \( \frac{2 h}{2 \pi} \)
- C \( \frac{3 h}{2 \pi} \)
- D \( \frac{4 h}{2 \pi} \)
Answer & Solution
Correct Answer
(C) \( \frac{3 h}{2 \pi} \)
Step-by-step Solution
Detailed explanation
Given, electron jumps from \( n=4 \) level to \( n=1 \) level. Angular momentum \( L \) is given as \( L=n \frac{h}{2 I I} \)
Therefore, \( L_{n=4}=\frac{4 h}{2 \Pi} \) and \( L_{n=1}=\frac{h}{2 \Pi} \)
Change in angular momentum \( \Delta L=L_{n=4}-L_{n=1}=\frac{4 h}{2 \pi}-\frac{h}{2 \Pi} \)
Thus \( \Delta L=\frac{3 h}{2 \Pi} \)
Therefore, \( L_{n=4}=\frac{4 h}{2 \Pi} \) and \( L_{n=1}=\frac{h}{2 \Pi} \)
Change in angular momentum \( \Delta L=L_{n=4}-L_{n=1}=\frac{4 h}{2 \pi}-\frac{h}{2 \Pi} \)
Thus \( \Delta L=\frac{3 h}{2 \Pi} \)
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