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JEE Main20238 Apr 2023Morning ShiftPhysicsDual Nature of MatterActual

Proton ( P ) and electron ( e ) will have same de-Broglie wavelength when the ratio of their momentum is (assume, m p = 1849 m e )

Options

  1. A1   :   1
  2. B1   :   1849
  3. C1   :   43
  4. D43   :   1

Correct answer

A. 1   :   1

Step-by-step solution

The De Broglie wavelength is λ = h mv The momentum is given by p = m v The momentum of proton is p p = m p v p The momentum of electron is p ' = m e v e Since h is the Planck's constant and it is given that both wavelengths are same, i.e. λ p = λ e , so p p = p ' .

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