Answer:
[tex]\Delta v = 4.41 \times 10^{-37} cm/s[/tex]
Explanation:
As per Heisenberg's uncertainty principle we know that
[tex]\Delta P \times \Delta x = \frac{h}{4\pi}[/tex]
so here we have
[tex]\Delta P = m\Delta v[/tex]
[tex]\Delta x = 8.54 m[/tex]
now from above equation we have
[tex]m\Delta v \times (8.54) = \frac{h}{4\pi}[/tex]
[tex]1400(\Delta v) \times (8.54) = \frac{6.626 \times 10^{-34}}{4\pi}[/tex]
[tex]\Delta v = 4.41 \times 10^{-39} m/s[/tex]
[tex]\Delta v = 4.41 \times 10^{-37} cm/s[/tex]