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Homework Help: Quantum Physics Tunneling

  1. Oct 11, 2015 #1
    1. The problem statement, all variables and given/known data
    The work function (energy needed to remove an electron) of gold is 5.1 eV. Two pieces of gold (at the same potential) are separated by a distance L.

    For what value of L will the transmission probability for an electron to cross from one to the other be T≈ 10-3? Assume that G = 1 in the formula for the tunneling probability.

    (a) L = 0.001 nm
    (b) L = 0.02 nm
    (c) L = 0.1 nm
    (d) L = 0.3 nm
    (e) L = 4 nm

    2. Relevant equations
    T= Ge^(-2KL)
    K=sqrt(2m/h^2 * (U-E))

    3. The attempt at a solution
    I have my final tomorrow, this is a practice exam. I tried to solve for K using 5.1eV for (U-E) and then solve for L but I can't figure it out.
  2. jcsd
  3. Oct 12, 2015 #2


    User Avatar
    2017 Award

    Staff: Mentor

    The approach is good, so unless you show your work there is no way to tell what went wrong.
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