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.

Answer 1

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