Physics · Atomic Physics

JEE Main 2024 — 4 April, Shift 2 — Question 45

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

  1. Option A:

     8hπ\frac{\mathrm{~8h}}{\pi}

  2. Option B:

    hπ\dfrac{h}{\pi}

  3. Option C:

     2hπ\frac{\mathrm{~2h}}{\pi}

    Correct
  4. Option D:

    h2π\frac{\mathrm{h}}{2 \pi}

Answer: C

Step-by-step solution

Moment of momentum is r→×P→\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{P}}

L→=r→×mv→\overrightarrow{\mathrm{L}}=\overrightarrow{\mathrm{r}} \times \mathrm{m} \overrightarrow{\mathrm{v}}

L=mvr=nh2π=4 h2π=2 hπ\mathrm{L}=\mathrm{mvr}=\frac{\mathrm{nh}}{2 \pi}=\frac{4 \mathrm{~h}}{2 \pi}=\frac{2 \mathrm{~h}}{\pi}

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Atomic Physics
Topic
Rutherford's and Bohr's Model of Atom
According to Bohr's theory, the moment of momentum of an electron… | JEE Main 2024 PYQ with Solution · DhiX AI