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### Theory:

**A sound wave can be defined by its**

- Amplitude
- Time period and
- Frequency

*Wave diagram*

**Amplitude:**

The amplitude of a sound wave can be defined as the maximum displacement of the particles from their mean position due to the vibrations.

**Time period**:

The time taken for one complete oscillation of a sound wave is called the time period of the sound wave.

$\mathit{Time}\phantom{\rule{0.147em}{0ex}}\mathit{period}(T)\phantom{\rule{0.147em}{0ex}}=\frac{1}{\mathit{Frequency}}$

**Frequency**:

The number of oscillations an object takes per second is called its frequency.

\(Hertz\) (\(Hz\)) is the SI unit of frequency.

$\mathit{Frequency}=\frac{\mathit{Total}\phantom{\rule{0.147em}{0ex}}\mathit{number}\phantom{\rule{0.147em}{0ex}}\mathit{of}\phantom{\rule{0.147em}{0ex}}\mathit{oscillations}}{\mathit{Total}\phantom{\rule{0.147em}{0ex}}\mathit{time}\phantom{\rule{0.147em}{0ex}}\mathit{taken}}$

*\(1\) \(Hz\) \(=\) \(1\) oscillation per second*

**Speed of the sound**:

The speed of sound is defined as the distance that sound travels in one second. The letter ‘\(v\)' stands for speed of sound.

It is mathematically represented as,

$v=n\mathrm{\lambda}$

where '\(n\)' is the frequency and '$\mathrm{\lambda}$' is the wavelength.

Distance travelled by the sound wave is found by,

$\mathit{Distance}(d)\phantom{\rule{0.147em}{0ex}}=\phantom{\rule{0.147em}{0ex}}\mathit{Number}\phantom{\rule{0.147em}{0ex}}\mathit{of}\phantom{\rule{0.147em}{0ex}}\mathit{waves}\times \mathit{Wavelength}(\mathrm{\lambda})$

Reference:

http://mrjkelly.weebly.com/goal-2-sound-and-loudness1.html

https://www.vhv.rs/viewpic/hTwoJTm_time-period-amplitude-and-frequency-of-wavelength-time/

https://uvicaudio.wordpress.com/2014/10/29/frequency-filtering/