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NTA Abhyas JEE Main2020ChemistryStructure of AtomPractice

If the radius of first Bohr's orbit of hydrogen is x , then de-Broglie wavelength of electron in its 3rd orbit is

Options

  1. A2 π x
  2. B6 π x
  3. C9 x
  4. Dx 3

Correct answer

B. 6 π x

Step-by-step solution

r n ∝ n 2 z for Hydrogen atom, r n ∝ n 2 r 1 = x r 3 = 9 x Now, ⇒ 2πr 3 = nλ ⇒ λ= 2 πr 3 3 ⇒ λ= 2 3 π × 9x ∴ λ = 6 πx

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