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A nucleus of mass M at rest splits into two parts having masses M ' 3 and 2 M ' 3 M ' < M . The ratio of de Broglie wavelength of two parts will be

Options

  1. A1 : 2
  2. B2 : 1
  3. C1 : 1
  4. D2 : 3

Correct answer

C. 1 : 1

Step-by-step solution

Since the initial momentum of the system is zero. To keep the final momentum zero, the momentum of both parts should be equal and opposite in direction. P → 1 = P → 2 Here P → is momentum De-Broglie wavelength is given by λ = h P Hence, both will have same de Broglie wavelength. Therefore, λ 1 : λ 2 = 1 : 1 .

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