v) Which of the two sets of quantities below are related to each other? (a) Velocity and phase (b) Velocity and amplitude (c) Phase and amplitude (d) Frequency and time perio
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Answer:
In the chapter on motion in two dimensions, we defined the following variables to describe harmonic motion:
Amplitude—maximum displacement from the equilibrium position of an object oscillating around such equilibrium position
Frequency—number of events per unit of time
Period—time it takes to complete one oscillation
For waves, these variables have the same basic meaning. However, it is helpful to word the definitions in a more specific way that applies directly to waves:
Amplitude—distance between the resting position and the maximum displacement of the wave
Frequency—number of waves passing by a specific point per second
Period—time it takes for one wave cycle to complete
In addition to amplitude, frequency, and period, their wavelength and wave velocity also characterize waves. The wavelength λ is the distance between adjacent identical parts of a wave, parallel to the direction of propagation. The wave velocity vw is the speed at which the disturbance moves.
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