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

Options

  1. A2πx
  2. B6πx
  3. C9x
  4. Dx/3

Correct answer

B. 6πx

Step-by-step solution

If r 3 = Radius of 3 rd orbit and r 1 = Radius of 1 st orbit r 3 = r 1 × n ⁡ 2 = x × 3 2 = 9x ∵ 2 πr 3 = nλ ∴ λ = 2 πr 3 n ⁡ = 2 π × 9 x 3 = 6 πx

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