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The minimum radial distance between first orbit and second orbit in He ⁺ ion, if the de-Broglie wavelength of an electron in first orbit is , will be

Options

  1. A2
  2. B2
  3. C2
  4. D4

Correct answer

C. 2

Step-by-step solution

By de-Broglie hypothesis, 2 r_n=n For first orbit, n=1, r=r₁ , then 2 r₁= or r₁= 2 For second orbit, n=2, r=r₂ , then aligned 2 r₂ & =2 or r₂ & = 2 2 aligned Minimum radial distance between first orbit and second orbit is aligned & r₂-r₁= 2 2 - 2 & r₂-r₁= 2 aligned

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