Both longitudinal and transverse waves can propagate through a solid. A wave on

Question

Both longitudinal and transverse waves can propagate through a solid. A wave on the surface of a liquid can involve both longitudinal and transverse motion of elements of the medium On the other hand, a wave propagating through the volume of a fluid must be purely longitudinal, not transverse. Why? A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes 40.0 vibrations in 30.0 s. Also, a given maximum travels 425 cm along the rope in 10.0 s. What is the wavelength?

Explanation / Answer

(a) For propagation of a transverse wave the volume ofliquid water doesn't offer sufficient resistance,    while the surface tension and cohesive forces inthe solid are sufficient enough. (b) frequency = N/t = f = 40/30 = 1.333 Hz       v = speed = 4.25 / 10 m/s =0.425 m/s        => wavelength =speed/frequency = 0.425 / 1.333 m = 0.31875 m

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