1. Not finding help here? Sign up for a free 30min 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!

Writing down algebraic expression

  1. Jan 22, 2009 #1
    1. The problem statement, all variables and given/known data
    An object emitting light with a wavelength of L is traveling away from you with a relative speed of v, which is small compared to the speed of light. Write down the algebraic expression for the fractional change in wavelength between what you observe and what the object emits. (In other words, you're trying to find Delta L/L

    2. Relevant equations
    F'=F(1-(U/C)) minus sign because its moving away
    F=C/L L= lambda :D

    3. The attempt at a solution
    i just cant seem to be able to rearrange the equation to a point i have
    change in wavelenght/wave lenght
    i mean i know L of source/L observed= 1- U/C where u is relative speed while c is the speed of light i cant seem to get any further. i would appreciate it if someone is able to show me how to rearrange this equation
  2. jcsd
  3. Jan 22, 2009 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member


    [tex]f^\prime = f\left(1-\frac{u}{c}\right)[/tex]

    [tex]\begin{align*}\Rightarrow f^\prime - f & = f\left(1-\frac{u}{c}\right) - f = f\left(1-\frac{u}{c}-1\right)\\
    & = - f\frac{u}{c}\end{align*}[/tex]
  4. Jan 22, 2009 #3
    so does that mean that delta L/L= C/v. and since v is smaller than the speed of light would the answer be delta L (L is lambda)/L=C
  5. Jan 22, 2009 #4


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    That would be correct.
    No. I think that what the question meant was that we could use the classical Doppler shift (as we did) rather than the relativistic one.

    Note that if v << C then (C/v) >> C.
  6. Feb 9, 2009 #5
    thnx by the way
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?