An electron moving near an atomic nucleus has a speed of `6xx10^(6) +- 1% m//s`. What is the uncertainty in its position?

Answer

`ge 1xx10^(-9) m`

Explanation

Findding the uncertainty in speed `Deltau, Deltau =(6xx10^(6) m//s)(0.01)=6xx10^(4) m//s`
Calculating the uncertainty in position, `Deltax: Deltax ge (h)/(4pimDeltau) ge (6.626xx10^(-34) kg. m^(2)//s)/(4pi(9.11xx10^(-31) kg)(6xx10^(4) m//s)) ge 1xx10^(-9) m`