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Q. A transverse stationary wave passes through a string with the equation y=10sinπ(0.02x2.00t) where x is in meters and t in seconds. The maximum velocity of the particles in wave motion is

AIIMSAIIMS 2000Waves

Solution:

y=10sinπ(0.02x2.00t)
yt=20πcosπ(0.02x2.00t)
(yt÷)max=20π=63 units.