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JEE Main 2024 (30 Jan, Shift 1) · Energy of the Electron & Energy Levels

Energy of the Electron & Energy Levels question from JEE Main 2024 (30 Jan, Shift 1)

Q15JEE Main 2024 · 30 JAN · SHIFT 1Easy

Energy of the Electron & Energy Levels

The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the 5th excited state of a hydrogen atom is:

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Answer: (c)

  1. In any Bohr orbit KE=ke22rKE = \frac{ke^2}{2r} and ∣U∣=ke2r|U| = \frac{ke^2}{r}.
  2. KE∣U∣=12\frac{KE}{|U|} = \frac{1}{2}, the same for every state (including n=6n = 6).
  3. So the answer is (c) 12\frac{1}{2}.
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