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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 ?

Text Solution

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Kinetic energy of the particle `K=1/2mv^(2)=(P^(2))/(2m)=(h^(2))/(2mlambda^(2))[lambda=h/P]`
i.e `lambda =h/(sqrt(2mK)),lambda prop1/(sqrtm)`
`(lambda_e)/(lambda_prop)=sqrt((m_prop)/(m_e))`
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