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:

x·ph4π

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

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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?

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