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% Packages
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\usepackage{multicol}           % Allows multicols in tables
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\usepackage{hhline}             % Border under tables
\usepackage{graphicx}           % For images
\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
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\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{TheGoldenClover}
\pdfinfo{
  /Title (tahsili-physics-light.pdf)
  /Creator (Cheatography)
  /Author (TheGoldenClover)
  /Subject (Tahsili Physics (Light) Cheat Sheet)
}

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% This two commands together give roughly
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% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
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% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
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\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
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    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Tahsili Physics (Light) Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{TheGoldenClover} via \textcolor{DarkBackground}{\uline{cheatography.com/201551/cs/42949/}}}
\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}TheGoldenClover \\
  \uline{cheatography.com/thegoldenclover} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 4th April, 2024.\\
   Updated 5th April, 2024.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
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  \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*}{2}

\begin{tabularx}{8.4cm}{x{2.64 cm} x{5.36 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Light}}  \tn
% Row 0
\SetRowColor{LightBackground}
Engineering optics & the study of how light interacts with matter \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Luminous Flux & the measure of the total amount of energy radiated per second from a light source in all directions (measured in lumens (lm) \tn 
% Row Count 7 (+ 5)
% Row 2
\SetRowColor{LightBackground}
Illumination & a measure of the light that falls on a surface (measured in lux (lx)) \tn 
% Row Count 10 (+ 3)
% Row 3
\SetRowColor{white}
Illumination Formula & E = P/4πr\textasciicircum{}2\textasciicircum{} (E = illumination, P = luminous flux, r = distance) \tn 
% Row Count 13 (+ 3)
% Row 4
\SetRowColor{LightBackground}
Diffraction & the spreading of waves around barriers \tn 
% Row Count 15 (+ 2)
% Row 5
\SetRowColor{white}
polarization & the restriction of light to one direction \tn 
% Row Count 17 (+ 2)
% Row 6
\SetRowColor{LightBackground}
Primary colours & RGB \tn 
% Row Count 19 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.56 cm} x{5.44 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Characteristics of Spherical Mirrors}}  \tn
% Row 0
\SetRowColor{LightBackground}
concave & depends on position \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
convex & virtual, upright, smaller \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{concave properties}}\{\{ac\}\}} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
infinitely large & real, inverted, highly diminished at focus \tn 
% Row Count 5 (+ 2)
% Row 4
\SetRowColor{LightBackground}
at focus & real, inverted, infinitely enlarged (no image) \tn 
% Row Count 7 (+ 2)
% Row 5
\SetRowColor{white}
beyond focal point & virtual, erect, enlarged image \tn 
% Row Count 9 (+ 2)
% Row 6
\SetRowColor{LightBackground}
2x the focal length & real, inverted, same size \tn 
% Row Count 11 (+ 2)
% Row 7
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% Row Count 12 (+ 1)
% Row 8
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% Row Count 13 (+ 1)
% Row 9
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\mymulticolumn{2}{x{8.4cm}}{{\emph{virtual images cannot be collected on screen}}} \tn 
% Row Count 14 (+ 1)
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\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.72 cm} x{5.28 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Spherical Lenses}}  \tn
% Row 0
\SetRowColor{LightBackground}
convex lens & collects light \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
concave lens & scatters light \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\seqsplit{Magnification} & the ratio of the image's length to the object's length \tn 
% Row Count 5 (+ 3)
% Row 3
\SetRowColor{white}
\seqsplit{Magnification} formula & M = hi / ho or -di / do ( M is -ive if its real ) \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{1/f = 1/di + 1/do} \tn 
% Row Count 8 (+ 1)
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.44 cm} x{4.56 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Interference}}  \tn
% Row 0
\SetRowColor{LightBackground}
interference & when two waves superimpose to form a wave with a higher or lower amplitude \tn 
% Row Count 4 (+ 4)
% Row 1
\SetRowColor{white}
young's double slit experiment & explains interference; uses monochromatic light to create dark and light bands \tn 
% Row Count 8 (+ 4)
% Row 2
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\mymulticolumn{2}{x{8.4cm}}{λ = xd/L} \tn 
% Row Count 9 (+ 1)
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.4 cm} x{5.6 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Reflection Off a Plane}}  \tn
% Row 0
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Reflection Law & incident angle = reflected angle \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{{\bf{Properties of a plane image}}\{\{ac\}\}} \tn 
% Row Count 3 (+ 1)
% Row 2
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1- virtual & 2- upright \tn 
% Row Count 4 (+ 1)
% Row 3
\SetRowColor{white}
3- same size & 4- horizontally inverted \tn 
% Row Count 5 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{5- same distance} \tn 
% Row Count 6 (+ 1)
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.64 cm} x{5.36 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Spherical mirrors}}  \tn
% Row 0
\SetRowColor{LightBackground}
concave mirror & collects light rays (used in telescope) \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
convex mirror & scatters light rays (sides of cars) \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Principal Axes & center line \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
Focus / focal point & the point at which light rays appear to converge \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Focal Length & the distance between the center of the mirror and the focus \tn 
% Row Count 11 (+ 3)
% Row 5
\SetRowColor{white}
focal length formula & f = r/2 (r = radius of curvature) \tn 
% Row Count 13 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.52 cm} x{4.48 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Refraction of Light}}  \tn
% Row 0
\SetRowColor{LightBackground}
Refraction & the bending of light through a medium \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
snell's law & n1sinθ1 = n2sinθ2 (n is the refractive index) \tn 
% Row Count 5 (+ 3)
% Row 2
\SetRowColor{LightBackground}
refraction index & n = c/v (c is the speed of light, v is the speed of light in the medium) \tn 
% Row Count 9 (+ 4)
% Row 3
\SetRowColor{white}
complete reflection & reflection within a medium that occurs when the angle of incidence is greater than the critical angle \tn 
% Row Count 14 (+ 5)
% Row 4
\SetRowColor{LightBackground}
critical angle & the angle of incidence that causes the reflected angle to have 90 degrees \tn 
% Row Count 18 (+ 4)
% Row 5
\SetRowColor{white}
complete reflection applications & optical fibers \tn 
% Row Count 20 (+ 2)
% Row 6
\SetRowColor{LightBackground}
mirage & an optical illusion caused by a difference in temperature that creates refraction \tn 
% Row Count 24 (+ 4)
% Row 7
\SetRowColor{white}
rainbow & when light is scattered by water droplets \tn 
% Row Count 26 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4.72 cm} x{3.28 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Sight defects}}  \tn
% Row 0
\SetRowColor{LightBackground}
farsightedness (long focal length) & corrected with a convex lens \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
nearsightedness (image forms in front of retina) & corrected with concave lens \tn 
% Row Count 5 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


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

\end{document}