Problem: Is it possible to determine an electron’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 = 9.1 × 10-31 kg

h = 6.62 × 10-34 J/s

Δx = 1µm(10-6m/1µm) = 1 × 10-6 m

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Problem Details

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