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MHT CET2017PhysicsDual Nature of Matter

According to de-Broglie hypothesis, the wavelength associated with moving electron of mass m is λ e . Using mass energy relation and Planck's quantum theory, the wavelength associated with photon is λ p . If the energy ( E ) of electron and photon is same then relation between λ e and λ p is

Options

  1. Aλ p α λ e
  2. Bλ p α λ e 2
  3. Cλ p α λ e
  4. Dλ p α 1 λ e

Correct answer

A. λ p α λ e

Step-by-step solution

For photon: E = h c λ p ∴ λ p = h c E ..........(i) For electron: E = m c 2 = p c ∴ p = E C λ e = h p = h c E ........(ii) By Equations. (i) and (ii), λ p ∝ λ e

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