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MHT CET202611 April 2026Evening ShiftPhysicsDual Nature of MatterActual

According to de-Broglie hypothesis, the ratio of the wave-length of a photon and that of an electron having same energy 'E' is (m = mass of electron, c = velocity of light)

Options

  1. A1 C E 2m
  2. BC E 2m
  3. CC 2m E
  4. D2mC E

Correct answer

C. C 2m E

Step-by-step solution

For a photon of energy E , the wavelength _p is given by: _p = hc E For an electron of kinetic energy E , the momentum p is given by p = 2mE . According to the de-Broglie hypothesis, the wavelength _e of the electron is: _e = h p = h 2mE The ratio of the wavelength of the photon to that of the electron is: _p _e = hc E h 2mE = hc E 2mE h = c 2mE E^2 = c 2m E Answer: C 2m E

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