1.

What is the de-Broglie wavelength associated with (a) an electron moving with speed of `5.4xx10^6ms^-1`, and (b) a ball of mass 150g travelling at `30.0ms^-1`? `h=6.63xx10^(-34)Js`, mass of electron `=9.11xx10^(-31)kg`.

Answer» For the electron , `m=9.11xx10^(-31) , v=5.4xx10^6ms^-1`
`lambda=h/(mv)=(6.63xx10^(-34))/((9.11xx10^(-31))xx(5.4xx10^6))=0.135xx10^-9m =0.135nm`
(b) For a ball , `m=150g=150xx10^-3kg, v=30.0ms^-1`
`lambda=h/(mv)=(6.63xx10^(-34))/((150xx10^-3)xx30.0)=1.47xx10^(-34)m`


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