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SUMMARY

The discussion centers on calculating the x component of an electron's velocity (v_x) given a measurement uncertainty of 0.200 mm and a minimum percentage uncertainty of 1.00%. The uncertainty principle is applied using the formula (Delta x * Delta p_x) ≥ h/2π, where Delta p_x is derived from the relationship delta p_x = m * delta v_x. The user attempts to relate delta v_x to v_x, indicating a need for clarity on the application of these principles in quantum mechanics.

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Homework Statement




The x coordinate of an electron is measured with an uncertainty of 0.200 mm. What is v_x, the x component of the electron's velocity, if the minimum percentage uncertainty in a simultaneous measurement of v_x is 1.00 %? Use the following expression for the uncertainty principle:

(Delta x * Delta p_x )> or = h/2pi,

where Delta x is the uncertainty in the x coordinate of a particle, Delta p_x is the particle's uncertainty in the x component of momentum, and where h is Planck's constant.




My attempt:

delta p_x = h/(2pi*delta x)

delta p_x=m* delta v_x ??

i dnt know if i am allowed to do this.. also if it is allowed i don't know what to do next..
 
Last edited:
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So far so good! Now the other thing you have been given is that delta v_x is 1% of v_x.
 
Ok I am going to try it
Thanks a lot!
 

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