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JEE Main202118 Mar 2021Morning ShiftPhysicsDual Nature of MatterActual

A particle is travelling 4 times as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is 2 : 1 , the mass of the particle is :-

Options

  1. A1 16 times the mass of e -
  2. B8 times the mass of e -
  3. C16 times the mass of e -
  4. D1 8 times the mass of e -

Correct answer

D. 1 8 times the mass of e -

Step-by-step solution

λ = h p λ p λ e = p e p p = m e v e m p V p 2 = m e m p v e 4 v e ∴   m p = m e 8

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