1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Finding the probability (again)

  1. Jul 4, 2013 #1
    So, we have a hydrogen atom. What is the probability of an electron being found in a spherical shell with 0,01Å width and a radious of 0,35Å?

    By approximation, we can sonsider the value of ψ (1s) stable within the shell, and thus the chance is ψ2 x Volume. Right?
    Also, by considering 0,35Å the median radious, can I express the probability as 0,3450,355 0 0 ψ2 r2 sineφ dr dφ dθ ? Would that give a more accurate solution?
  2. jcsd
  3. Jul 4, 2013 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    ... you mean:

    The probability of finding a particle with wave-function ##\psi## in volume ##V## is $$P_V=\int_V \psi^\star\psi \; dv$$

    That would be reasonable taking the "radius" as the center of the shell.
    Don't forget that the 1s shell has angular as well as radial components, something like: ... ##\psi=Y(\theta,\phi)R(r)##.

    You can use the symmetry of the 1s state to work out the result of the integration over all possible angles. It may help to measure radii in units of the Bohr radius.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted