The equation of a simple harmonic progressive wave is given by, y = 5cos$\pi$[200t - x/150], where x and y are in cm and ‘t’ is in second. Then the velocity of the wave is ______.

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The equation of a simple harmonic progressive wave is given by, y = 5cos$\pi$[200t - x/150], where x and y are in cm and ‘t’ is in second. Then the velocity of the wave is 300 m/s. Explanation: y = 5cos[200pit - pi/150x] y = Acos(ωt - Kx) A = 5 cm ω = 200$\pi$ 2$\pi$f = 200$\pi$ = 100 Hz K = pi/150 = (2pi)/lambda λ = 300 cm V = fλ = 100 xx 300 xx 10^-2 = 300 m/s

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