The correctness of velocity of an electron moving with velocity `50 ms^(-1)` is `0.005%` . The accuracy with which its position can be measured will be

Answer

`1.93xx10^(-3)m`

Explanation

According to uncertainty principle,
`Deltax*mDeltav=(h)/(4 pi) or Delta x =(h)/(4 pi xxm xxDeltav)`
`h=6.626xx10^(-34)"kg"m^(2)s^(-1), Deltax=5xx10^(-5)Ã…=5xx10^(-5)xx10^(-10)=5xx10^(-15)m`,
`:. " " Deltax=((6.626xx10^(-34) "kg"m^(2)s^(-1)))/(4xx3.143xx(9.1xx10^(-31)"kg")xx(0.03 ms^(-1)))=193.10^(-3)m`.