Q.1: a) Both longitudinal and transversewaves can propagate through a solid. A w

Question

Q.1:

a) Both longitudinal and transversewaves can propagate through a solid. A wave on the surface of aliquid can involve both longitudinal and transverse motion ofelements of the medium. On the other hand, a wave propagatingthrough the volume of a fluid must be purely longitudinal, nottransverse. Why?

b) A sinusoidal wave is travelingalong a rope. The oscillator that generates the wave completes 40.0vibrations in 30.0 s. Also, a given maximum travels 425 cm alongthe rope in 10.0 s. What is the wavelength?

       

Explanation / Answer

The oscillator that generates the wave completes 40.0vibrations in 30.0 s. Then time period (T) of the wave is T = (30.0s) /(40.0)                                                           =0.75 s Speed (v) is the wave is v = (distance traveled) /(time)                                         = (425cm) / (10.0s)                                         = 42.5 cm/s                                         = 0.425 m/s Then formula for calculating the value of the wavelength ofthe wave is                       = vT                         = (0.425m/s)(0.75s)

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