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MHT CET202123 Sep 2021Evening ShiftPhysicsDual Nature of MatterActual

An electron of mass ' m ' and a photon have same energy ' E '. The ratio of de-Broglie wavelength of electron to the wavelength of photon is ( c = velocity of light )

Options

  1. Ac E m
  2. B1 c 2 m E
  3. C1 c E 2 m
  4. Dc m E

Correct answer

C. 1 c E 2 m

Step-by-step solution

If E is the kinetic energy of the electron, then aligned & E = p ^2 2 ~m ( p = momentum ) & p = 2 mE & de Broglie wavelength of electron & _ e = 1 2 mE & Energy of photon, E = hc _ p = hc E & _ e _ p = h 2 mE E hc = 1 c E 2 ~m aligned

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