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!
 
Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
Back
Top