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The second harmonic standing wave on a particular string fixed at both ends is given by:...

The second harmonic standing wave on a particular string fixed at both ends is given by:

y(x, t) = 0.01 sin(2π x) cos(200π t)

(in SI units).

  1. a) Fill in the following information:

    λ2 = f2 = v =

  2. b) How long is the string, and what is its fundamental frequency?

    L =   f1 =

  3. c) This second harmonic wave has total energy E2. If the string is plucked so that has the first harmonic wave on it instead at the same amplitude, the energy E1 in terms of E2 is expected to be:

    E1 = ×E2

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