In Bohr's model of an atom, which of the following is an integral multiple of h/2π?

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Rajasthan 3rd Grade (Maths & Science) Official Paper (Held On: 25 Feb 2023 Shift 2)
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  1. Potential energy
  2. Δngular momentum 
  3. Kinetic energy
  4. Radius of an atom

Answer (Detailed Solution Below)

Option 2 : Δngular momentum 
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Detailed Solution

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CONCEPT:

Bohr's Δtomic Model and Quantization of Δngular Momentum
\(L = n \frac{h}{2\pi} \), where n = 1, 2, 3,..

  • According to Bohr's model, electrons revolve around the nucleus in specific allowed orbits without radiating energy.
  • One key postulate of Bohr's model is that the angular momentum of an electron in these allowed orbits is quantized.
  • This quantization means the angular momentum L is an integral multiple of the reduced Planck's constant \(\frac{h}{2\pi}\), i.e.,

EXPLANATION

  • Potential energy, kinetic energy, and radius of the atom depend on the orbit number but are not themselves integral multiples of \(\frac{h}{2\pi}\) .
  • The angular momentum being quantized as L = n frach2pi is a fundamental concept in Bohr’s theory, which explains discrete energy levels.

Therefore, the correct answer is Δngular momentum.

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