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JEE Main 20244 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
4 April
Shift
Evening Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2024 · 4 April · Evening Shift · Physics · Atomic Physics

According to Bohr's theory, the moment of momentum of an electron...

According to Bohr's theory, the moment of momentum of an electron revolving in 4th 4^{\text{th }} orbit of hydrogen atom is:

Options

  1. Ahπ\frac{h}{\pi}
  2. Bh2π\frac{h}{2 \pi}
  3. C8hπ8 \frac{h}{\pi}
  4. D2hπ2 \frac{h}{\pi}

Correct answer

D. 2hπ2 \frac{h}{\pi}

Step-by-step solution

Moment of momentum is r→×P→\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{P}}L→=r→×mv→L=mvr=nh2π=4 h2π=2 hπ\begin{aligned} & \overrightarrow{\mathrm{L}}=\overrightarrow{\mathrm{r}} \times \mathrm{m} \overrightarrow{\mathrm{v}} \\ & \mathrm{L}=\mathrm{mvr}=\frac{\mathrm{nh}}{2 \pi}=\frac{4 \mathrm{~h}}{2 \pi}=\frac{2 \mathrm{~h}}{\pi} \end{aligned}$$
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