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!

Maxwell velocity distribution

  1. Jul 18, 2013 #1
    Dear
    I have problem with determine the minimum speed in this problem , I think the the maximum speed equal to the average speed and the most probable speed can be obtain by derive equation and equally to zero .Is my solution correct?

    The speed distribution function for N particles in a fixed volume is given by f (V) = AV(B - V)/B^3,
    where V (>0) is the particle speed, and A and B are positive constants. Determine:
    (a) The minimum speed Vmin and maximum speed Vmax.
    b) The most probable speed where the probability density function is the largest.
     
  2. jcsd
  3. Jul 18, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    If that would be true, all particles would have to have the same speed.

    What is the minimal V where f(V) is not zero?
    If you don't see that, make a sketch of f(V).

    Right.
     
  4. Jul 18, 2013 #3
    the minimum when B=v=0 and what about the maximum
     
  5. Jul 19, 2013 #4

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    Why B=?
    A and B are parameters, you cannot set their values.

    Did you draw the sketch I proposed? Do you see the maximum?
     
  6. Jul 20, 2013 #5

    Andrew Mason

    User Avatar
    Science Advisor
    Homework Helper

    First of all, this is not a Maxwellian distribution. The distribution is determined by this equation.

    The minimum speed is the speed for which the distribution f(V) < 1. Since we don't know the values of A and B you cannot really determine that so assume it is very close to f(V) = 0.

    How is the maximum related to the rate of change of f(V) with respect to V?

    AM
     
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: Maxwell velocity distribution
  1. Maxwell distribution (Replies: 5)

Loading...