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JEE Main20207 Jan 2020Evening ShiftPhysicsDual Nature of MatterActual

An electron (of mass m ) and a photon have the same energy E in the range of a few e V . The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is ( c = speed of light in vacuum)

Options

  1. A1 c 2 E m 1 / 2
  2. Bc ( 2 m E ) 1 / 2
  3. C1 c E 2 m 1 / 2
  4. DE 2 m 1 / 2

Correct answer

C. 1 c E 2 m 1 / 2

Step-by-step solution

λ d for electron = h 2 m E λ for photon = h C E Ratio = h 2 m E E h C = 1 C E 2 m

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