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MHT CET Medical202621 April 2026Evening ShiftPhysicsDual Nature of MatterActual

An electron of mass ' m ' accelerated through a potential difference ' V ' has the de Broglie wavelength associated with it as ' '. If a proton of a mass ' M ' is accelerated through the same potential difference ' V ', the de Broglie wavelength associated with it will be

Options

  1. A( m M )
  2. B( M m )
  3. CM m
  4. DM m

Correct answer

A. ( m M )

Step-by-step solution

The de Broglie wavelength of a particle of mass m and charge q accelerated through a potential difference V is given by = h 2mqV . For an electron of mass m and charge e , the wavelength is = h 2meV . For a proton of mass M and charge e accelerated through the same potential difference V , the wavelength is _p = h 2MeV . Taking the ratio of the two wavelengths: _p = 2meV 2MeV = m M _p = ( m M ) Answer: ( m M )

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