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The kinetic energy (KE) of an electron is related to its momentum (pp) by the following equation:
KE is the kinetic energy, pp is the momentum, mm is the mass of the electron
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Reduction in Momentum If the electron's momentum is reduced by 50%, the new momentum is p' = p/2
Therefore, when the momentum of an electron is reduced by 50%, its kinetic energy is reduced to one-fourth of its original value. This significant reduction is due to the squared relationship between momentum and kinetic energy.
Khan Academy - De Broglie Wavelength: This video explains the relationship between momentum and energy in the context of the de Broglie wavelength, which is fundamental to understanding quantum mechanics. Watch here.
Physics Classroom - Kinetic Energy Tutorial: This video covers the basics of kinetic energy and how it is affected by changes in momentum. Watch here.
Vedantu - Relationship Between Kinetic Energy and Momentum: This video and article explain the mathematical relationship between kinetic energy and momentum, showing how changes in momentum impact kinetic energy. Learn more here.
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What happens to the energy of an electron when its momentum is reduced by 50%?