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When would wavelength associated with a...

When would wavelength associated with an electron become equal to the wavelength associated with a proton ?
`(m_(e) = 9.1095 xx 10^(-28) g ` and ` m_(p)=1.6725 xx 10^(-24)g)`.

Text Solution

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According to de-Broglie equation, `lamda=(h)/(mv)`
For electron, `lamda_(e)=(h)/(m_(e)v_(e))`
For proton, `lamda_(p)=(h)/(m_(p)v_(p))`
But `lamda_(e)=lamda_(p)`
`:.(h)/(m_(e)v_(e))=(h)/(m_(p)v_(p))" or " m_(e)v_(e)=m_(p)v_(p)`
or `v_(e)=(m_(p)v_(p))/(m_(e))=(1.6725xx10^(-24))/(9.1095xx10^(-28))xxv_(p)=1836v_(p)`
Velocity of electron `=1836xx` velocity of proton.
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