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MHT CET Medical202626 April 2026Morning ShiftPhysicsDual Nature of MatterActual

The wavelength _e of an electron and _P of a photon of same energy E are related as

Options

  1. A_P _e
  2. B_P 1 _e
  3. C_P _e^2
  4. D_P _e

Correct answer

C. _P _e^2

Step-by-step solution

For a photon of energy E , the wavelength is given by: _P = hc E For an electron of kinetic energy E , the de Broglie wavelength is given by: _e = h 2mE Squaring both sides, we get: _e^2 = h^2 2mE E = h^2 2m _e^2 Substituting the value of E in the expression for _P : _P = hc ( h^2 2m _e^2 ) _P = ( 2mc h ) _e^2 Since m , c , and h are constants, we obtain: _P _e^2 Answer: _P _e^2

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