Progressive waves are all about the transmission of energy through a medium, be it a mechanical energy, acoustic energy, electric energy and so on. We often make use of concept related to energywaves
classified as progressive as opossed to stationary, if their waveform
move. all waves in its natural states are progressive, stationary waves
are formed by superposition of two waves. as waveforms are energy stored
in the oscillation of the mediums particles, it should be understood
that energy is transferred due to a progressive wave. Here, in this note we'll take a look at the notion of the

As we have derived here, the relation of the energy in the simple harmonic motion as follows,

$$E=\frac{1}{2}kx^{2}$$

We can see that the energy is proportional to the amplitude of the wave motion.

$$E\propto x^{2}$$

where, $'x'$ is the amplitude of the oscillation.

Now, from the definition of the intensity, the mathematical expression is as follows,

$$I=\frac{E}{t\times A}$$

where $A$= surface area, $E$= Energy of the waves, $t$= time. Thus, we can write

$$I\propto x^{2}$$

Here's an easy to understand video,

**Intensity.**But first the definition,*$Js^{-1}m^{-2}$***Intensi****ty:**It is the**average rate of energy transferred per unit area perpendicular to the diretion of the wave propagation**. Or simply, it's the power transferred per unit area perpendicular to the direction of the wave propagation. It's SI unit is*.*As we have derived here, the relation of the energy in the simple harmonic motion as follows,

$$E=\frac{1}{2}kx^{2}$$

We can see that the energy is proportional to the amplitude of the wave motion.

$$E\propto x^{2}$$

where, $'x'$ is the amplitude of the oscillation.

Now, from the definition of the intensity, the mathematical expression is as follows,

$$I=\frac{E}{t\times A}$$

where $A$= surface area, $E$= Energy of the waves, $t$= time. Thus, we can write

$$I\propto x^{2}$$

Here's an easy to understand video,

**Exercise: From the damping plot below, Find****Ratio of the intensity at point A to Point B****Ratio of the intensity at point A to Point C**

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