Heisenberg Uncertainty Principle:

$\overline{){\mathbf{\u2206}}{\mathbf{x}}{\mathbf{\xb7}}{\mathbf{\u2206}}{\mathbf{p}}{\mathbf{\ge}}\frac{\mathbf{h}}{\mathbf{4}\mathbf{\pi}}}$

Δx is the uncertainty in the position while Δp is the uncertainty in the momentum.

m = 1.67 × 10^{-27} kg

h = 6.62 × 10^{-34} J/s

Δx = 1µm(10^{-6}m/1µm) = 1 × 10^{-6} m

Is it possible to determine a proton’s velocity accurate to ±1.0m/s while simultaneously finding its position to within ±1.0 *μ*m?

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