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JEE Main 202310 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
10 April
Shift
Morning Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2023 · 10 April · Morning Shift · Physics · Atomic Physics

The angular momentum for the electron in Bohr’s orbit is L ....

The angular momentum for the electron in Bohr’s orbit is LL. If the electron is assumed to revolve in second orbit of hydrogen atom, then the change in angular momentum will be

Options

  1. AZero
  2. B2L2L
  3. CLL
  4. DL2\dfrac{L}{2}

Correct answer

C. LL

Step-by-step solution

Bohr's formula for angular momentum of an electron in an orbit is given by

L=nh2πL = \dfrac{nh}{2\pi}

For the first orbit, n=1n = 1 and the angular momentum is L1=h2π=L{L}_{1} = \dfrac{h}{2\pi} = L

For 2nd{2}^{nd} orbit

L2=2h2π=2L{L}_{2} = \dfrac{2h}{2\pi} = 2L

Hence, the change in angular momentum is

\DeltaL=2L−L=L\DeltaL = 2L - L = L

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