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!

Quantizing the oscillator. I'm having trouble getting a real number for the velocity

  1. Oct 5, 2011 #1
    1. The problem statement, all variables and given/known data

    Use Bohr's rule, L=n[itex]\hbar[/itex], to find the quantized speeds, radii, and energies for circular orbits of a particle of mass m bound to the origin by the Hooke's-law force, F(r) = -Kr.


    2. Relevant equations

    mass=m

    ƩF=ma

    F(r)=-kr

    L=n[itex]\hbar[/itex]

    p=mvr

    mvr=n[itex]\hbar[/itex]

    r=n[itex]\hbar[/itex]/mv (a)

    3. The attempt at a solution

    mv²/r=-kr

    mv²=-kr² (b)

    subbing (a) into (b)

    mv²=-kn²[itex]\hbar²[/itex]/m²v²

    solving for v...

    (v²)²=-kn²[itex]\hbar²[/itex]/m³

    v=(-kn²[itex]\hbar²[/itex]/m³)^¼

    and this is where I get stuck because of the negative sign in the 4th root of v. If I make ma=kr it works out, BUT it seems cheap just to change the law from -kr to kr.
     
    Last edited: Oct 5, 2011
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Quantizing the oscillator. I'm having trouble getting a real number for the velocity
Loading...