Wave Speed from Standing Wave Function · CAP 2009 #18

Physics

Problem

Two sinusoidal waves traveling at the same speed in opposite directions interfere to produce a standing wave with the wave function y = (1.50 m) sin(0.400x) cos(200t), where x is in meters and t is in seconds. The speed of propagation of each of the interfering waves is (a) 159 m/s (b) 200 m/s (c) 300 m/s (d) 47.7 m/s (e) 500 m/s

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