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An electron moving with speed v and a photon moving with speed c, have same de Broglie wavelength. The ratio of kinetic energy of electron to that of photon is

Asked in JEE Main 25th July 1st Shift 2021 · Matter wave against photon

Answer: (4) v/(2c)

Step-by-step solution

Equal wavelengths mean equal momenta p.

Electron: Kₑ=(p²)/(2m)=(pv)/2.

Photon: E=pc.

(Kₑ)/E=v/(2c).

Why the other options are wrong

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