# Problem: Is it possible to determine a proton’s velocity accurate to ±1.0m/s while simultaneously finding its position to within ±1.0 μm?

###### FREE Expert Solution

Heisenberg Uncertainty Principle:

$\overline{){\mathbf{∆}}{\mathbf{x}}{\mathbf{·}}{\mathbf{∆}}{\mathbf{p}}{\mathbf{\ge }}\frac{\mathbf{h}}{\mathbf{4}\mathbf{\pi }}}$

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(10-6m/1µm) = 1 × 10-6 m

###### Problem Details

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