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The circumference of the second orbit of an atom or ion having a single electron is 4 × 10 - 9 m . The de Broglie wavelength of an electron revolving in this orbit should be

Options

  1. A2 × 10 - 9   m
  2. B4 × 10 - 9   m
  3. C8 × 10 - 9   m
  4. D1 × 10 - 9   m

Correct answer

A. 2 × 10 - 9   m

Step-by-step solution

2 πr = nλ ∴   λ = 2 πr n = 4 × 10 - 9 2 = 2 × 10 - 9  m

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