(i) Explain qualitatively how the de Broglie wavelength of a particle varies with (a)…

PHYSICS · Subjective · A Level · Physics · Particles and radiation · Particles and radiation

Problem

(i) Explain qualitatively how the de Broglie wavelength of a particle varies with (a) its kinetic energy and (b) its mass. (ii) An electron and a proton each have a kinetic energy of 5 keV5\,\text{keV}. Without performing any numerical calculation, state which particle will have the larger de Broglie wavelength and justify your answer. (iii) Verify your qualitative conclusion by calculating the ratio λelectron/λproton\lambda_{\text{electron}}/\lambda_{\text{proton}} using appropriate physical constants.

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