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Linear and anular momentum of a hydrogen electron

  1. Apr 27, 2008 #1
    1. The problem statement, all variables and given/known data

    A hydrogen is in the excited state of n=4. Using the Bohr theory of the atom, find the radius of the orbit.
    Find the linear momentum of the electron. (kg*m/s)
    Find the angular momentum of the electron. (J*s)

    2. Relevant equations

    r = a*n^2
    ??? maybe L = sqrt(l(l+1)h/2*pi)

    3. The attempt at a solution

    I found that a for hydrogen was 5.291772*10^-11m, so I calculated that r was .84668352 nm.
    After that I tried the equation for L, but it gave the wrong answer for angular momentum.

    Is there any equation that can find the linear and angular momentum of the electron using the information I am given?
     
  2. jcsd
  3. Apr 27, 2008 #2
    Ok, I found the answer. Linear momentum 4.9821*10^-25 kg * m/s
    Angular momentum is 4.2182*10^-34 J*s

    There are also three other parts to the question:

    Find its kinetic energy, potential energy and total energy. (Use eV)

    I found its kinetic energy (.850625eV), but I can't find its potential energy and total energy. The kinetic energy was found by using
    13.61eV/n^2
    where n=4

    Can anyone help me find potential and total energy?

    EDIT:
    Ok I found the answer now. Potential energy was found using
    -e^2/(4*pi*epsilon0*r)
    That gave me about -1.70 eV.

    Then, I just added the kinetic and potential energy together to get about -.851 eV.
     
    Last edited: Apr 27, 2008
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