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Question

Heisenberg's Uncertainty Principle says that the product of the error in the measurement of a particle's momentum and the error in the measurement of a particle's position must be at least Planck's constant divided by 4. Suppose the error in the measurement of the momentum of a particle is halved. By how many percent does the minimum error in the measurement of its position increase?

Accepted Answer

Since the minimum position error and the momentum error are inversely proportional, halving one doubles the other, or increases it by 100%.