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An electron and alpha particle have the same de Broglie wavelength associated with them . How are their kinetic energies related to each other

An electron and alpha particle have the same de Broglie wavelength associated with them . How are their kinetic energies related to each other

Grade:12

1 Answers

Arun
25757 Points
5 years ago

since debroglie's wavelength of electron = debroglie wavelength of alpha particle

momentum of electron= momentum of alpha particle.(because, lambda= planck's const/ momentum)

KE = (momentum)2/ mass and mass of alpha particle being 4 times mass of an electron, the ratio of KE comes out to be 4:1

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