\(\Delta p \cdot \Delta x \geq \frac{h}{2 \pi}\)

or \(\Delta \mathrm{v} . \Delta x \geq \frac{\mathrm{h}}{4 \pi \mathrm{m}}\)

\(\Delta \mathrm{p} \rightarrow\) uncertainty in momentum

\(\Delta x \rightarrow\) uncertainty in position

\(\Delta \mathrm{v} \rightarrow\) uncertainty in velocity

\(\mathrm{m} \rightarrow\) mass of particle Given, \(\Delta x=0.1 \mathrm{A}=0.1 \times 10^{-10} \mathrm{m}\)

\(m=9.11 \times 10^{-31} \mathrm{kg}\)

\(\mathrm{h}=\) planck constant \(=6.626 \times 10^{-34} \mathrm{Js}\)

In uncertain position \(\Delta v \cdot \Delta x=\frac{h}{4 \pi m}\) \(\Delta v \times 0.1 \times 10^{-10}=\frac{6.626 \times 10^{-34}}{4 \times 3.14 \times 9.11 \times 10^{-31}}\)

\(\Delta v=\frac{6.626 \times 10^{-34}}{4 \times 3.14 \times 911 \times 10^{-31} \times 0.1 \times 10^{-1}} \mathrm{ms}^{-1}\)

\(=5.785 \times 10^{6} \mathrm{ms}^{-1}\)

\(5.79 \times 10^{6} \mathrm{ms}^{-1}\)