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Determining initial velocity of an electron

  • 07-10-2012 4:56pm
    #1
    Registered Users, Registered Users 2 Posts: 434 ✭✭


    Consider an electron that has its position measured to within a nuclear radius in a laboratory. What is the uncertainty in its position uncertainty one day later?

    What equation should I use to determine the initial velocity of the electron?

    I believe this would be the first thing I should determine in order to answer the question.

    Thanks!


Comments

  • Registered Users, Registered Users 2 Posts: 434 ✭✭Smythe


    I have used:

    ΔxΔ(mv) = h/2Pi

    (10^-14) (9.1 x 10^-31) (Δv) = h/2Pi

    Δv = 1.16 x 10^10 m/s

    Am I going about this the right way?

    What way do I go now about solving the original question?

    Do I simply multiply the answer for Δv by (3600x24) i.e. the number of seconds in a day?

    If I do this I get an answer of Δx = 1.00 x 10^15 m

    Thanks


  • Registered Users, Registered Users 2 Posts: 434 ✭✭Smythe


    Should I instead be using the relativistic equation to find the uncertainty in the momentum, and not p=mv as I done above?


  • Registered Users, Registered Users 2 Posts: 434 ✭✭Smythe


    Here is a similar question:
    Specifically the *2nd* example
    http://www.people.vcu.edu/~rgowdy/mod/122/xmp4.htm

    The solution does not appear to have used the relativistic equation.

    Should my solution simply be the same but substituting their time (they have one year (3.15x10^7)) with my time (one day)?


  • Banned (with Prison Access) Posts: 3,455 ✭✭✭krd


    Where are you getting these questions?

    Is it homework or exam papers?

    Post the exam papers, I'd like a look. :)


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