1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

DeBroglie wavelength please help its due at 12am!

  1. Feb 7, 2005 #1
    The deBroglie wavelength of an electron which moves with a speed of .0320 c is
    7.18x10^-12

    What is the fundamental minimum uncertainty in a measurement of the position of the elctron in the previous prolem if its momentum is simultaneouslymeasured to a precisioin of plus or minus one percent (two percent total)?
     
  2. jcsd
  3. Feb 7, 2005 #2

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    1.Compute "p_{x}".
    2.Compute \Delta p_{x}.
    3.Compute \Delta x from the HUP.

    Daniel.
     
  4. Feb 7, 2005 #3
    [tex]\Delta p \Delta x \geq \frac{\hbar}{2}[/tex]

    The problem states that the electron is moving .320 times the speed of light. The mass of the electron is known. The uncertainty in the momentum is .02p ([itex]\Delta p = .02 p = .02mv[/itex]).

    The only value in the above inequality you don't know is the uncertainty in position.

    --J
     
    Last edited: Feb 7, 2005
  5. Feb 7, 2005 #4

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    1.Justin,the sign in the HUP is inverse than the one u posted... :tongue2:
    2.And it should be
    [tex] \Delta p_{x} \Delta x \geq \frac{\hbar}{2} [/tex]

    There's a huge difference between your (initial,in the case u edit it) formula and the one i've written.Can u see why...? :wink:

    Daniel.
     
    Last edited: Feb 7, 2005
  6. Feb 7, 2005 #5
    Those darned TeX letters confuzzled me! leq, geq, bah!

    --J
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?