JEE Main202125 Jul 2021Evening ShiftPhysicsDual Nature of MatterActual
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:
Options
- A3 c v
- Bv 3 c
- Cv 2 c
- D2 c v
Correct answer
C. v 2 c
Step-by-step solution
λ e = λ Ph h p e = h p ph 2 m k e = E ph c 2 m k e = E ph 2 c 2 k e E ph = E ph c 2 1 2   m = p ph c 1 2   m = p e c 1 2   m = m v c 1 2   m = v 2 c