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An alpha particle, a proton and an elect...

An alpha particle, a proton and an electron are moving with equal kinetic energy. Which one of these particles has the longest de Broglie wavelength? Give reason.

Text Solution

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`lamda= (h)/(sqrt(2mE)), lamda prop (1)/(sqrtm)`
`m_(alpha) gt m_(p) gt m_(e )`
`lamda_(e ) gt lamda_(p) gt lamda_(alpha)`
`therefore` electron has longest wavelength, because of smaller mass.
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