The equation of a plane progressive wave is given by y = 5 π (200t - (x)/(150)) where x and y are in cm and t is in second. The velocity of the wave is _______ m/s.

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Correct answer: D. 300

The given equation of the wave is y = 5 π(200t - (x)/(150)) Rewriting the equation, we get y = 5 (200π t - (π x)/(150)) Comparing this with the standard wave equation y = A (ω t - kx) , we have: ω = 200π rad/s k = (π)/(150) rad/cm The velocity of the wave is given by v = (ω)/(k) v = (200π)/((π)/(150)) = 30000 cm/s Converting to m/s, we get v = (30000)/(100) = 300 m/s Answer: 300

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