If an electron and a proton have the same de-Broglie wavelength, then the kinetic energy of the electron is

Question

If an electron and a proton have the same de-Broglie wavelength, then the kinetic energy of the electron is, Zero, Less than that of a proton, More than that of a proton, Equal to that of a proton

MARKS App · Accepted Answer

Given, λ = h m v = h 2 m K E ⇒ K E = 1 2 m λ 2 As λ is same for both electron and photon So, K E ∝ 1 m Hence, kinetic energy will be maximum for particle with lesser mass, i e , electron.

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