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: The equation of a simple harmonic
progressive wave on a stretched string is y = sin
π (20 t - 2x) where all the quantities are in S.I.
units.

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A standing wave has the following wave-function: y(x,t) = 0.2 sin(TIX) cos(12Ttt), where x and y are in meters, and t is in seconds. If the length of the string is L = 2 m and it is fixed at both ends, then the harmonic, n, in which the string is vibrating is: O n= 3 O n= 6 O n = 5 n = 2 n = 4 A standing wave with wavelength A = 1.2 m and frequency f = 50 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse velocity is v(y,max) = 2t m/s. The amplitude A of each of the individual waves producina the standing wave is: