An electron moving with speed v and a photon moving with speed c , have the same D-Broglie wavelength. The…

An electron moving with speed v and a photon moving with speed c, have the same D-Broglie wavelength. The ratio of the kinetic energy of the electron to that of a photon is:
  1. 3cv
  2. v3c
  3. v2c
  4. 2cv

Solution

λe=λPh

hpe=hpph

2mke=Ephc

2mke=Eph2c2

keEph=Ephc212 m

=pphc12 m

=pec12 m

=mvc12 m

=v2c

Asked in: JEE Main 2021 (25 Jul Shift 2)

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