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JEE Main20198 Apr 2019Evening ShiftPhysicsDual Nature of MatterActual

A nucleus A , with a finite de-broglie wavelength λ A , undergoes spontaneous fission into two nuclei B and C of equal mass. B flies in the same direction as that of A , while C flies in the opposite direction with a velocity equal to half of that of B . The de-Broglie wavelengths λ B and λ C of B and C are respectively:

Options

  1. Aλ A , λ A 2
  2. Bλ A 2 , λ A
  3. Cλ A , 2 λ A
  4. D2 λ A , λ A

Correct answer

B. λ A 2 , λ A

Step-by-step solution

h λ A = h λ B - h λ C …(i) Also λ C = 2 λ B ...(ii) From equation (i) & (ii), 1 λ A = 1 λ B - 1 2 λ B λ B = λ A 2 ;   λ C = λ A

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