Calculate the uncertainty in the velocity of an electron, if the uncertainity in position is 100 pm.

Explanation

Given `Deltaxx="100 pm "=100xx10^(-12)m=10^(-10)m`
`"mass of electron, m"=9.1xx10^(-31)kg`
`Deltav=?" "pi=3.1416`
`Deltax xx Deltav=(h)/(4pim)`
`Deltav=(h)/(4pim. Deltax)=(6.625xx10^(-34)"kgm"^(2)s^(-1))/(4xx3.1416xx9.1xx10^(-31)kgxx10^(-10))`
`=5.8xx10^(5)ms^(-1)`
`"The uncertainty in velocity"=5.8xx10^(5)ms^(-1)`