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!

Zeeman effect problem

  1. Apr 18, 2013 #1
    1. The problem statement, all variables and given/known data

    The red line of the Balmer series in hydrogen has a
    wavelength of 656.5 nm. Suppose that this line is observed to
    split into three different spectral lines when placed in a magnetic field, B, due to the Normal Zeeman Effect. What is the
    value of the magnetic field if the wavelength splitting between
    adjacent lines is 0.065 nm?


    2. Relevant equations

    [itex]\mu_{B}\ =\ 9.27400899(37)\ \times\ 10^{-24}\ J\ T^{-1}[/itex]

    [itex]E=E_0+\mu_B\times B\times m_l[/itex]

    3. The attempt at a solution

    I said that E - E0 = .065 nm

    and solved for B, saying m_l = 1, but that's not right.

    Any ideas?
     
  2. jcsd
  3. Apr 18, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    E is an energy, nm is a length and not an energy. You can convert the wavelength values to energy values, then it will work.
     
  4. Apr 18, 2013 #3
    Ah right good catch. I tried that and got 3.3*10^8 T, but that was wrong too.

    i did [itex] E = \frac{hc}{\lambda}[/itex]

    where [itex]\lambda[/itex] is .065 nm

    than divided by [itex]\mu_B[/itex]
     
  5. Apr 18, 2013 #4

    TSny

    User Avatar
    Homework Helper
    Gold Member

    Note that ##E = \frac{hc}{\lambda}## does not imply that ##\Delta E = \frac{hc}{\Delta \lambda}##.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Zeeman effect problem
  1. Zeeman effect (Replies: 4)

  2. Zeeman Effect (Replies: 1)

  3. Zeeman Effect (Replies: 18)

  4. Zeeman Effect Lab (Replies: 1)

Loading...