Question
Download Solution PDFIn Bohr's model of an atom, which of the following is an integral multiple of h/2π?
This question was previously asked in
Rajasthan 3rd Grade (Maths & Science) Official Paper (Held On: 25 Feb 2023 Shift 2)
Answer (Detailed Solution Below)
Option 2 : Δngular momentum
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Rajasthan 3rd Grade (Level 1) Full Test 11
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Detailed Solution
Download Solution PDFCONCEPT:
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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