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MHT CET20227 Aug 2022Morning ShiftPhysicsDual Nature of MatterActual

An electron of mass ' m ' and a photon have same energy E . The ratio of the de-Broglie wavelengths associated with them is (c = velocity of light in air)

Options

  1. A[ E 2 M ]^ 1 2
  2. B1 c [ E 2 ~m ]^ 1 2
  3. Cc (2 mE )^ 1 2
  4. D1 c [ 2 ~m E ]^ 1 2

Correct answer

B. 1 c [ E 2 ~m ]^ 1 2

Step-by-step solution

De-broglie wavelength For an electron, _ e = h 2 mE For photon, E = pc _ Photon = hc E _ e _ photon = h 2 mE E hc = ( E 2 ~m )^ 1 / 2 1 c

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