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CUET · PHYSICS · PYQ PAPER 2023

Consider two different hydrogen atoms. The electron in each atom is in first excited state. According to Bohr's model, electrons will have :

  1. A different energies but the same orbital angular momentum
  2. B same energies and the same orbital angular momentum
  3. C same energies but different orbital angular momentum
  4. D different energies and no orbital angular momentum
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Answer & Solution

Correct Answer

(B) same energies and the same orbital angular momentum

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Detailed explanation

Energy in Bohr's model: \(E_n \propto \frac{1}{n^2}\). Orbital angular momentum in Bohr's model: \(L = n\frac{h}{2\pi}\). First excited state corresponds to \(n=2\). For two hydrogen atoms in the same excited state (\(n=2\)), both energy and orbital angular momentum will be the…
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