Q174 / 180 · KCET 2016 · Physics
When electron jumps from \( n=4 \) level to \( n=1 \) level, the angular momentum of electron
changes by
changes by
- A\( \frac{h}{2 \pi} \)
- B\( \frac{2 h}{2 \pi} \)
- Correct answerC\( \frac{3 h}{2 \pi} \)
- D\( \frac{4 h}{2 \pi} \)
Solution
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 \( \Delta L=\frac{3 h}{2 \Pi} \)
Hence, the correct answer is option: 'C'.