Wave motionMediumBloom L3
Question
The mathematical forms for three sinusoidal traveling waves are given by
Wave 1 : y(x,t) = (2cm) sin(3x–6t)
Wave 2 : y(x,t) = (3cm) sin(4x–12t)
Wave 3 : y(x,t) = (4cm) sin(5x–11t)
where x is in meters and t is in seconds. Of these waves :
Options
A.wave 1 has the greatest wave speed and the greatest maximum transverse string speed.
B.wave 2 has the greatest wave speed and wave 1 has the greatest maximum transverse string speed.
C.wave 3 has the greatest wave speed and the greatest maximum transverse string speed.
D.wave 2 has the greatest wave speed and wave 3 has the greatest maximum transverse string speed.
Solution
Sol. Wave speed = $\frac{\omega}{k}$
Maximum transverse string speed (vp) = Aω
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