The de Broglie wavelengths for an electron and a photon are λ e and λ p respectively. For the same…

The de Broglie wavelengths for an electron and a photon are λe and λp 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?
  1. λpλe2
  2. λpλe
  3. λpλe
  4. λp1λe

Solution

De-Broglie wavelength for electron is given by, λe=h2mk

For photon k=hcλpλp=hck. Therefore,

λe=hλp2mhc

λpλe2

Asked in: JEE Main 2022 (28 Jun Shift 1)

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