a) Traveling waves propagate with a fixed speed usuallydenoted as v(but sometimes c). The waves are called _________ if their waveformrepeats every time interval T.
The fundamental relationship among frequency, wavelength, andvelocity is
v = f \lambda.
This relationship may be visualized as follows: In 1 s, f\cdot(1\;{\rm s}) cycles of the wave move past an observer. In thissame second the wavetrain moves a distance v\cdot(1\;{\rm s}).
c) If the velocity of the wave remains constant, then as thefrequency of the wave is increased, the wavelength_.
d) The difference between the frequency f and the frequency omega is that fis measured in cycles per second or hertz (abbreviated Hz) whereasthe units for \omega are ___ per second.
e) Find an expression for the period of a wave T in terms of other kinematic variables.
f) What is the relationship between omega and f?
g) What is the simplest relationship between the angularwavenumber kand just one of the other kinematic variables?

The waves are called periodic wave if waveform repeats in time interval T. A wave is said to be periodic if its duration of transmission is infinity. In a periodic wave wavelength and frequency is regulated. In a given time interval the wave completes one cycle.

For a periodic wave the wave function is y(x,t) = A sin2(x -vt) .The term 2 scales the wave to the natural period of the sin function. The term A gives the amplitude of the wave which is the maximum displacement of the wave.

If the velocity of the wave remains constant, then as the frequency of the wave is increased, the wavelength decreases

The phase difference between any two points on a wave is found as follows:-At P1 the phase is 1 = kx1- t1 +,

At P2 the phase is 2 = kx2- t2 +.

So the phase difference is = 2-1 = k(x2 - x1)- (t2 - t1) The wave speed is given by:- v=k=2f2/=f

Examples of periodic wave can be seen in:-

1.Electromagnetic wave in optical fibre

2.Sound from a guitar string

To know more about periodic wave refer to this link:- https://brainly.com/question/23071467

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