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JEE Main202228 Jun 2022Morning ShiftPhysicsDual Nature of MatterActual

The de Broglie wavelengths for an electron and a photon are λ e and λ p respectively. For the same kinetic energy of electron and photon, which of the following presents the correct relation between the de Broglie wavelengths of two?

Options

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

Correct answer

A. λ p ∝ λ e 2

Step-by-step solution

De-Broglie wavelength for electron is given by, λ e = h 2 m k For photon k = h c λ p ⇒ λ p = h c k . Therefore, λ e = h λ p 2 m h c λ p ∝ λ e 2

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