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An electron and an alpha particle have s...

An electron and an alpha particle have same kinetic energy. How are the de Broglie wavelengths associated with them related ?

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de Broglie wavelength the `lambda = ( h )/(mv) = ( h )/( sqrt( 2m E_(k)))`
[kinetic energy `E_(k) = ( ( mv)^(2))/( 2m) ``:. lambda= ( h )/( sqrt(2m_(k)))]`
`(lambda_("electron"))/( lambda_("alpha"))= (sqrt(m_("alpha")))/(sqrt(m_("electron")))= ( sqrt( 2m_(e )))/( sqrt( m_(e ))) = sqrt(2)` [ mass of alpha particle is twice of electron ]
`lambda _(e ) = sqrt(2) lambda`
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