# Uncertainty principle for a free particle

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Show that for a free particle, the Uncertainty Principle can be written as

?? ?x ? ?^2/4?

where ?x is the uncertainty in the location of the wave and ?? is the simultaneous uncertainty in the wavelength.

https://brainmass.com/physics/heinsenburgs-uncertainty-principle/uncertainty-principle-free-particle-449651

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The explanations are in the attached file.

Question:

Show that for a free particle, the Uncertainty Principle can be written as

âˆ†Î» âˆ†x â‰¥ Î»2/4Ï€

where âˆ†x is the uncertainty in the location of the wave and âˆ†Î» is the simultaneous uncertainty in the ...

#### Solution Summary

The expert examines the uncertainty principles for a free particle.

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