How fast does a proton have to be moving with order to have the same de-Broglie wavelength as an electron that is moving with a speed of `5.5xx10^(6)ms^(-1)`? Mass of proton`=1.67xx10^(-27)kg`.

Explanation

Let `v_(p)` be the speed of proton for which de-Broglie wavelength of proton =de-Broglie wavelength of moving electron
`h/(m_(p)v_(p))=h/(m_(e)v_(e))`
of `v_(p)=v_(e)xx(m_(e))/(m_(p))`
`=(5.5xx10^(6))xx((9.1xx10^(-31))/(1.67xx10^(-27)))`
`2.45xx10^(3)ms^(-1)`