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!

Homework Help: How to produce a standing wave question

  1. Dec 20, 2011 #1
    1. The problem statement, all variables and given/known data
    using a wire of length L= 1 M with both ends fixed, can you produce a standing wave with the following wavelengths? Explain why or why no.

    a. 30 cm:

    b. 1m :

    c. 75 cm :

    d. 2 m :

    2. Relevant equations
    L=n. (λn/2)

    3. The attempt at a solution

    1m= n. 30 cm/2 ?
  2. jcsd
  3. Dec 20, 2011 #2


    User Avatar
    Science Advisor

    A standing wave must fit a full "wave" inside the given length. In other words the length must be an integer multiple of the wavelength.
  4. Dec 20, 2011 #3
    So would all of the wave lengths work except for the 2 meter one?And How can I explain it with the formula?

    Thank you for your help.
  5. Dec 20, 2011 #4


    User Avatar

    Staff: Mentor

    For a string or wire fixed at both ends, the fundamental mode fits a half wavelength between the nodes, no?
  6. Dec 20, 2011 #5


    User Avatar

    Staff: Mentor

    Welcome to the PF.

    I'd suggesting sketching each of the possible answers, to see if you get a whole number of half wavelengths between the nodes.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook