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JEE Main201815 Apr 2018Evening ShiftPhysicsDual Nature of MatterActual

If the de Broglie wavelengths associated with a proton and an -particle are equal, then the ratio of velocities of the proton and the -particle will be:

Options

  1. A1: 4
  2. B1: 2
  3. C4: 1
  4. D2: 1

Correct answer

C. 4: 1

Step-by-step solution

According to question, _p= _ Using, = h p = h m v aligned & So, h m_p v_p = h m_ v_ & v_p v_ = m_ m_p = 4 m_p m_p aligned ( mass of -particle is 4 times of mass of proton) So, v_p v_ = 4 1 ; i.e., 4: 1

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