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MHT CET 2026 (20 Apr, Shift 1) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from MHT CET 2026 (20 Apr, Shift 1)

Q13MHT CET 2026 · 20 APR · SHIFT 1Medium

Bohr Model: Orbits, Speed & Angular Momentum

The angular momentum of an electron in Bohr's hydrogen atom having energy (−0.544)(-0.544) eV is (hh = Planck's constant)

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Answer: (c)

  1. En=−13.6n2 eVE_n = -\frac{13.6}{n^2}\text{ eV}: n2=13.60.544=25n^2 = \frac{13.6}{0.544} = 25, so n=5n = 5.
  2. L=nh2π=5h2πL = \frac{nh}{2\pi} = \frac{5h}{2\pi}
  3. So the answer is (c) 5h2π\frac{5h}{2\pi}.
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