A proton and an electron have the same de Broglie wavelength. If Kₚ and Kₑ be the kinetic energies of proton and electron respectively. Then choose the correct relation:
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Question

A proton and an electron have the same de Broglie wavelength. If Kₚ and Kₑ be the kinetic energies of proton and electron respectively. Then choose the correct relation:

G1 Physics · Accepted Answer

de Broglie wavelength: λ = h/p Same wavelength implies same momentum magnitude. Kinetic energy: K = p²/(2m) For the same p: K ∝ 1/m Since: mₚ > mₑ therefore: Kₚ < Kₑ