\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
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\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
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\usepackage{colortbl}           % For coloured tables
\usepackage{setspace}           % For line height
\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{Lucifer05}
\pdfinfo{
  /Title (sound.pdf)
  /Creator (Cheatography)
  /Author (Lucifer05)
  /Subject (Sound Cheat Sheet)
}

% Lengths and widths
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% the right line height in the tables
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\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
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\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Sound Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Lucifer05} via \textcolor{DarkBackground}{\uline{cheatography.com/103888/cs/21396/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Lucifer05 \\
  \uline{cheatography.com/lucifer05} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 13th December, 2019.\\
   Updated 13th December, 2019.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{3}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Important Terms}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/lucifer05_1576237082_Sound wave.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Amplitude - The maximum displacement of a particle of the medium on either side of its mean position. \newline Time period - The time taken by a particle to complete one vibration. \newline Frequency - The no. of vibrations made by a particle in one second. \newline Wavelength - The distance traveled by the wave in one time period of vibration of the medium. \newline Velocity - The distance traveled by the wave in one second. \newline Equations - V = {\emph{f}}  λ \newline {\emph{f}} = 1/T}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{3.43413 cm} x{1.54287 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Factors Affecting Speed of Sound}}  \tn
% Row 0
\SetRowColor{LightBackground}
Pressure and Density & V = √(γP/d) \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Tension and Mass (in a  string) & V = √(T/m) \tn 
% Row Count 4 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.73735 cm} x{2.23965 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Differences between Light \& Sound waves}}  \tn
% Row 0
\SetRowColor{LightBackground}
Light & Sound \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
Electromagnetic waves & Mechanical waves \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
Can travel in vacuum & Cannot travel in vacuum \tn 
% Row Count 4 (+ 2)
% Row 3
\SetRowColor{white}
Speed = 3*10\textasciicircum{}8\textasciicircum{} m/s (in air) & Speed = 330 m/s (in air) \tn 
% Row Count 6 (+ 2)
% Row 4
\SetRowColor{LightBackground}
λ is smaller & λ is bigger \tn 
% Row Count 7 (+ 1)
% Row 5
\SetRowColor{white}
Transverse waves & Longitudinal waves \tn 
% Row Count 8 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Echo}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{The sound heard after reflection of the original sound from a distant object, after the original sound has ceased is called an echo. to create the perception of an echo the person must hear the sound at least 0.1 seconds after after the original sound is heard. the reason is that the stimulus persist for 0.1 s before stopping. Equation of Echo -  d=Vt/2% Row Count 8 (+ 8)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Applications of Echos}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Use by bats and dolphins - Bats produce sounds that get reflected back to them from the obstacles near them. After hearing the echo they get to know the the location of the obstacles and so fly safely even in the dark. The same principle is used by dolphins to hunt their preys.This is called sound ranging.} \tn 
% Row Count 7 (+ 7)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{SONAR - it sands for {\bf{So}}und {\bf{Na}}vigation and {\bf{R}}anging. It works on the principle of echo. Ultrasonic waves are sent in all directions and received after reflection. By the formula of echo the distance from the obstacle is calculated . The depth of the sea can also be found by this method this is called echo depth sounding.} \tn 
% Row Count 14 (+ 7)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Use in medical field - echo is also used for the imaging of internal organs. This is known as ultrasonography.} \tn 
% Row Count 17 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Reverberation}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{It is a phenomenon by which sound is prolonged because of multiple reflections of the sound.% Row Count 2 (+ 2)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Natural, Damped \& Forced Vibrations}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Natural vibrations - The periodic vibrations in a body in the absence of any external force is called natural or free vibrations. In this sort of vibration the body vibrates with the same frequency and amplitude forever. This is the vibration of a body in an ideal condition.} \tn 
% Row Count 6 (+ 6)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Damped vibrations - The periodic vibrations in a body of decreasing amplitude in presence of a resistive force. The vibrating body loses energy in the form of heat energy.} \tn 
% Row Count 10 (+ 4)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Forced vibrations - The vibrations in a body which take place under the influence of an external periodic force acting on it.} \tn 
% Row Count 13 (+ 3)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Resonance - It is a special case of Forced vibrations. When the frequency of the externally applied periodic force on a body is equal to its natural frequency, the body begins to readily vibrate with an increased amplitude.} \tn 
% Row Count 18 (+ 5)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Loudness}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{It is the characteristics by which a loud sound can be distinguished from a feeble one, when both have the same pitch and quality. It is also known as Intensity . it is associated with the amplitude of the sound . L ∝ A\textasciicircum{}2\textasciicircum{}% Row Count 5 (+ 5)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Pitch}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{It is the characteristic of sound by which a shrill note can be distinguished from a flat note of the same loudness. It is also called shrillness. It is associated with the frequency of the sound.% Row Count 4 (+ 4)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Quality}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{It is the characteristic which distinguishes the two sounds of the same loudness and pitch because of different wave forms. It is associated with the wave form of a sound wave.% Row Count 4 (+ 4)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}