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Question on Standing waves

  1. Dec 5, 2009 #1
    1. The problem statement, all variables and given/known data

    The wave function for a certain standing wave on a string that is fixed at both ends is given by
    y(x, t) = (5.00 cm) sin (2.50 m^(− 1)x) cos (500 s^(− 1)t)

    A standing wave can be considered as the superposition of two traveling waves.

    a. Give the speed in m/s rounded to a whole number.
    b. Give the amplitude in cm rounded to one decimal place

    2. What is the distance between successive nodes on the string? Give your answer in m rounded to two decimal places.

    3. What is the shortest possible length of the string? Give your answer in m rounded to two decimal places.

    2. Relevant equations

    3. The attempt at a solution

    I got all the answers:

    1a. 200m/s
    1b. 5.0 cm
    2. 1.26 m
    3. 1.26 m

    But I am sure about none of them, please check if right or not? If it's not, then please help me out. Thanks !
  2. jcsd
  3. Dec 5, 2009 #2


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    Homework Helper

    Seems good!
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