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The difference in magnitudes of angular momentum of the electrons revolving in 5th Bohr's orbit and 3rd Bohr's orbit of hydrogen atom is

  • A.\(\frac{2h}{\pi}\)
  • B.\(\frac{h}{\pi}\)
  • C.\(\frac{h}{2\pi}\)
  • D.\(\frac{3h}{2\pi}\)
  • E.\(\frac{5h}{2\pi}\)

Answer: B

The difference is \(\frac{h}{\pi}\).

Bohr's quantisation condition is \(L = \frac{nh}{2\pi}\). So

\[ \begin{aligned} L_{5} - L_{3} &= \frac{5h}{2\pi} - \frac{3h}{2\pi} \\ &= \frac{2h}{2\pi} = \frac{h}{\pi} \end{aligned} \]

\(\frac{5h}{2\pi}\) and \(\frac{3h}{2\pi}\) are the two angular momenta themselves, and \(\frac{2h}{\pi}\) is twice the difference.

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