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An α particle and a carbon 12 atom has same kinetic energy K . The ratio of their de-Broglie wavelengths λ α : λ C 12 is

Options

  1. A3 : 1
  2. B1 : 3
  3. C2 : 3
  4. D3 : 1

Correct answer

A. 3 : 1

Step-by-step solution

De-Broglie wavelength is stated as λ = h p = h 2 m K , where, K is kinetic energy and m is mass. Here, K α = K C ‐ 12 . Now, the ratio λ α λ C 12 = 12 m 4 m = 3 : 1

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