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MHT CET 2023 (14 May, Shift 1) · Bohr Model: Orbits, Speed & Angular Momentum

Bohr Model: Orbits, Speed & Angular Momentum question from MHT CET 2023 (14 May, Shift 1)

Q73MHT CET 2023 · 14 MAY · SHIFT 1Medium

Bohr Model: Orbits, Speed & Angular Momentum

If the radius of the first Bohr orbit is 'rr' then the de-Broglie wavelength of the electron in the 44th orbit will be

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Answer: (c)

  1. λ=2πrnn\lambda = \frac{2\pi r_n}{n} with r4=16rr_4 = 16r
  2. λ=2π×16r4=8πr\lambda = \frac{2\pi\times16r}{4} = 8\pi r
  3. So the answer is (c) 8πr8\pi r.
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