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MHT CET 2021 (23 Sep, Shift 1) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from MHT CET 2021 (23 Sep, Shift 1)

Q86MHT CET 2021 · 23 SEP · SHIFT 1Medium

Bohr Model: Orbits, Speed & Angular Momentum

The energy of an electron in the excited hydrogen atom is −3.4 eV-3.4\text{ eV}. Then according to Bohr's theory, the angular momentum of the electron in that excited state is (h=h = Plank's constant)

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Answer: (c)

  1. En=−13.6n2E_n = -\frac{13.6}{n^2}: n2=13.63.4=4n^2 = \frac{13.6}{3.4} = 4, so n=2n = 2.
  2. L=2h2π=hπL = \frac{2h}{2\pi} = \frac{h}{\pi}
  3. So the answer is (c) hπ\frac{h}{\pi}.
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