Explanation:
It is given that,
Uncertainty in the speed of an electron, [tex]\Delta v=3.5\times 10^3\ m/s[/tex]
According to Heisenberg uncertainty principle,
[tex]\Delta x.\Delta p=\dfrac{h}{4\pi}[/tex]
[tex]\Delta x[/tex] is the uncertainty in the position of an electron
Since, [tex]\Delta p=m\Delta v[/tex]
[tex]\Delta x=\dfrac{h}{4\pi.m \Delta v}[/tex]
[tex]\Delta x=\dfrac{6.6\times 10^{-34}}{4\pi\times 9.1\times 10^{-31}\times 3.5\times 10^3}[/tex]
[tex]\Delta x=1.64\times 10^{-8}\ m[/tex]
So, the uncertainty in its position is [tex]1.64\times 10^{-8}\ m[/tex]. Hence, this is the required solution.
