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GUJCET · Physics · Atoms
In hydrogen atom an electron makes a transition from \(5^{\text {th }}\) orbit to \(3^{\text {rd }}\) orbit．The change in the angular momentum for this electron is _________.
- A \(\frac{5 h}{\pi}\)
- B \(\frac{h}{\pi}\)
- C \(\frac{3 h}{\pi}\)
- D \(\frac{h}{2 \pi}\)
Answer & Solution
Correct Answer
(B) \(\frac{h}{\pi}\)
Step-by-step Solution
Detailed explanation
(B) \(\frac{h}{\pi}\)
Change in angular momentum
\(
\begin{aligned}
& \Delta \mathrm{L}=\mathrm{L}_{5}-\mathrm{L}_{3} \\
& \Delta \mathrm{~L}=\frac{5 h}{2 \pi}-\frac{3 h}{2 \pi} \\
& \Delta \mathrm{~L}=\frac{h}{2 \pi}(5-3) \\
& \Delta \mathrm{L}=\frac{2 h}{2 \pi}=\frac{h}{\pi}
\end{aligned}
\)
Change in angular momentum
\(
\begin{aligned}
& \Delta \mathrm{L}=\mathrm{L}_{5}-\mathrm{L}_{3} \\
& \Delta \mathrm{~L}=\frac{5 h}{2 \pi}-\frac{3 h}{2 \pi} \\
& \Delta \mathrm{~L}=\frac{h}{2 \pi}(5-3) \\
& \Delta \mathrm{L}=\frac{2 h}{2 \pi}=\frac{h}{\pi}
\end{aligned}
\)
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