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A progressive and a stationary simple harmonic wave each have the same frequency of 250Hz and the same velocity of 30m/s. Calculate (i) the phase difference between two vibrating points on the progressive wave which are 10cm apart. (ii) the distance between nodes in the stationary wave.

  • physics -

    period = T = 1/f = 1/250
    wavelength = L = speed*time = 30/250

    sin 2pi(t/T-x/L)
    x/L = .10 (250/30)
    phase = 2 pi (.1*250/30)

    half a wavelength between nodes = 15/250

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