Simultaneous measurement of the momentum component px

AI Thread Summary
The discussion revolves around calculating the least uncertainty in the momentum component px of an electron given a position uncertainty of 38 pm. The relationship used is based on the Heisenberg uncertainty principle, specifically ΔpΔx = h, where Δx is the position uncertainty and h is Planck's constant. A participant calculated the momentum uncertainty to be 1.74 x 10^-23. There is mention of a stricter relationship that might be more appropriate for this scenario. The conversation emphasizes the importance of accurately applying quantum mechanics principles to solve the problem.
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Homework Statement


The uncertainty in the position of an electron along an x axis is given as 38 pm. What is the least uncertainty in any simultaneous measurement of the momentum component px of this electron?

Homework Equations


Position uncertainty = h/ delta p (delta p is the uncertainty in the momentum)
Delta p = (percentage of speed)*Px

The Attempt at a Solution


I got the momentum uncetainty to be 1.74*10^-23
 
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You use ##\Delta p \Delta x = h##. From what I remember, there is a more strict relationship that may well be the one they want you to use here...
 
Thank you!
 
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