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MHT CET20243 May 2024Morning ShiftPhysicsDual Nature of MatterActual

The ratio of the wavelength of a photon of energy ' E ' to that of the electron of same energy is ( m = mass of an electron, c = speed of light, h = Planck's constant)

Options

  1. Am cE
  2. B2 ~m cE
  3. Cc m E
  4. Dc 2 ~m E

Correct answer

D. c 2 ~m E

Step-by-step solution

We know, Energy of a photon E= h c _p _ p = hc E Wavelength of an electron _e= h m v We also know, E= 1 2 m v^2 v= 2 E m array ll & m v= 2 E m & _e= h 2 E m & _p _e = h c E 2 E m h =c 2 m E array

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