Print ViewSimultaneous Measurements of Position and Velocity

Sasa888
Messages
4
Reaction score
0

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:
Physics news on Phys.org
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!
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
Back
Top