Calculate the wave length of an electron of mass `9.1 xx 10^(-31) kg`, moving with a velocity of `2.05 xx 10^(7)ms^(-1)`.

Explanation

Mass of electron, `m = 9.1 xx 10^(-31) kg`
v = velocity of electron `= 2.05xx 10^(7) ms^(-1)`
h = Plancks constant `= 6.6256 xx 10^(-34) Js.`
`lambda =` wave length = ?
According to de Broglie equation
`lambda=(h)/(mv)=(6.625xx10^(-34)kgm^(2)s^(-1))/(9.1xx10^(-31)kgxx2.05xx10^(7)ms^(-1))`
The wave length of electron is `3.55 xx 10^(-11) m`