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JEE Main202311 Apr 2023Evening ShiftPhysicsDual Nature of MatterActual

The ratio of the de-Broglie wavelengths of proton and electron having same kinetic energy: (Assume m p = m e × 1849 )

Options

  1. A1 : 43
  2. B1 : 30
  3. C1 : 62
  4. D2 : 43

Correct answer

A. 1 : 43

Step-by-step solution

The de-Broglie wavelength is given by λ = h p = h 2 m K   ( As ,   p 2 = 2 m K ) . It is given that ( K ) e = ( K ) p Thus, the ratio of the wavelengths of the proton and electron is λ p λ e = 2 K m e 2 K m p = m e m p = 1 1849 = 1 43 .

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