What is the position uncertainty in locating an electron with speed of $25 \mathrm{~ms}^{-1}$ having

Question

What is the position uncertainty in locating an electron with speed of $25 \mathrm{~ms}^{-1}$ having uncertainty of $0.1 \%$ ?

Professor PC Thomas Classes · Answer

Uncertainty in velocity $\Delta v = 0.025 	ext{ m/s}$. From $\Delta x \cdot m\Delta v = \frac{h}{4\pi}$, resolving yields $\Delta x \approx 2.3 	imes 10^{-3} 	ext{ m}$.