\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 \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \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{yashicarajput09} \pdfinfo{ /Title (physics-practical.pdf) /Creator (Cheatography) /Author (yashicarajput09) /Subject (Physics practical Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \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 \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{A3A3A3} \definecolor{LightBackground}{HTML}{F3F3F3} \renewcommand{\familydefault}{\sfdefault} \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{Physics practical Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{yashicarajput09} via \textcolor{DarkBackground}{\uline{cheatography.com/198392/cs/47861/}}} \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}yashicarajput09 \\ \uline{cheatography.com/yashicarajput09} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 17th March, 2026.\\ 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{1.55618 cm} x{1.55618 cm} x{1.46464 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{formulas}} \tn % Row 0 \SetRowColor{LightBackground} v = u + at & s = ut + 1/2​at\textasciicircum{}2\textasciicircum{} & v\textasciicircum{}2\textasciicircum{}=u\textasciicircum{}2\textasciicircum{}+2as \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Slope of x–t → velocity & Slope of v–t → acceleration & Area under v–t → \seqsplit{displacement} \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} F = ma & p = mv (momentum) & J = F⋅t (impulse) \tn % Row Count 7 (+ 2) % Row 3 \SetRowColor{white} f = μN & W = Fscosθ & U = mgh \tn % Row Count 8 (+ 1) % Row 4 \SetRowColor{LightBackground} K = 1/2 ​mv\textasciicircum{}2\textasciicircum{} & P = W/t​ (power) & τ = rFsinθ (torque) \tn % Row Count 10 (+ 2) % Row 5 \SetRowColor{white} K= 1/2 Iω\textasciicircum{}2\textasciicircum{} & v=rω (relation) & ω = dθ/dt \tn % Row Count 12 (+ 2) % Row 6 \SetRowColor{LightBackground} F = G⋅M⋅m​/r\textasciicircum{}2\textasciicircum{} & g = GM/R\textasciicircum{}2\textasciicircum{}​ (acc. due to g) & U = \seqsplit{−G⋅M⋅m/r​} \tn % Row Count 15 (+ 3) % Row 7 \SetRowColor{white} Stress = F/A​ & Strain = ΔL/L​ & Y = \seqsplit{Stress/Strain} (young's modulus)​ \tn % Row Count 19 (+ 4) % Row 8 \SetRowColor{LightBackground} P = F/A \seqsplit{(pressure)​} & P = ρgh & F = ρgV \tn % Row Count 21 (+ 2) % Row 9 \SetRowColor{white} A\textasciitilde{}1\textasciitilde{}​v\textasciitilde{}1\textasciitilde{}​ = A\textasciitilde{}2\textasciitilde{}​v\textasciitilde{}2\textasciitilde{}​ (continuity) & P + 1/2​ρv\textasciicircum{}2\textasciicircum{} + ρgh = constant (bernoulli) & Q = mcΔT \tn % Row Count 25 (+ 4) % Row 10 \SetRowColor{LightBackground} ΔQ = ΔU+W & W = PΔV & PV = nRT \tn % Row Count 26 (+ 1) % Row 11 \SetRowColor{white} x = Asin(ωt) \{shm eqn.\} & v = ω \textasciicircum{}root\textasciicircum{}(A\textasciicircum{}2\textasciicircum{}−x\textasciicircum{}2\textasciicircum{}) ​ & a = −ω\textasciicircum{}2\textasciicircum{}x \tn % Row Count 29 (+ 3) % Row 12 \SetRowColor{LightBackground} T = 2π/ω ​ & v = fλ & f = 1/T​ \tn % Row Count 31 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{what to write?}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{-Aim \newline % Row Count 1 (+ 1) -Apparatus Required \newline % Row Count 2 (+ 1) -Formula/Principle \newline % Row Count 3 (+ 1) -Procedure (steps) \newline % Row Count 4 (+ 1) -Observation table \newline % Row Count 5 (+ 1) -Result \newline % Row Count 6 (+ 1) -Precautions \newline % Row Count 7 (+ 1) -Measure 4 or 3 times atleast → avg% Row Count 8 (+ 1) } \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}{Simple Pendulum}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{acc. due gravity using simple pendulum} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{T=2π \textasciicircum{}root\textasciicircum{}(l/g)} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Measure time for 20 oscillations} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{metallic bob with a hook, an iron stand with a clamp, a split fork, a fine \& strong thread, vernier caliper, stopclock, meter scale} \tn % Row Count 6 (+ 3) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{What affects T? → length (NOT mass)} \tn % Row Count 7 (+ 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}{Calorimeter → Volume}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{internal diameter, depth → volume} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{vernier calliper, calorimeter} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{V=πr2h} \tn % Row Count 3 (+ 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}{Screw Gauge}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Wire → Volume} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{V=πr2l} \tn % Row Count 2 (+ 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}{Principle of Moments (Meter Scale)}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{mass of body, using meter scale} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{meter scale, glass prism, load of unknown mass "m\textasciitilde{}2\textasciitilde{}", known mass m\textasciitilde{}1\textasciitilde{}, thread} \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{τ = F*d} \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{anticlockwise → positive​} \tn % Row Count 5 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{clockwise → negative} \tn % Row Count 6 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Clockwise moment = Anticlockwise moment} \tn % Row Count 7 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\seqsplit{W1​×d1​=W2​×d2​}} \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}{Parallelogram Law of Vectors}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{weight using vector addition} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Gravesend's apparatus, 2 hangers with slotted wt., given body, strong \& thin thread, sheet, drawing pins, mirror strips, half meter scale, compass} \tn % Row Count 4 (+ 3) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Two forces at angle → resultant is diagonal} \tn % Row Count 5 (+ 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}{Sonometer (Frq. of Tuning Fork)}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{sonometer along with hanger and slotted wt., tuning fork, rubber pad, screw gauge, paper rider} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{f=(1/2l)* \textasciicircum{}root\textasciicircum{}(T/​M)​ ​} \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{→ T = mg (tension)} \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{→ M = mass/length of wire (linear mass density)} \tn % Row Count 5 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{→ M = πr2ρ} \tn % Row Count 6 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{ρ → density of brass = 8.5 g/cm\textasciicircum{}3\textasciicircum{}} \tn % Row Count 7 (+ 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}{Spring Constant (Hooke's Law)}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{force of helical spring, by plotting a graph b/w load and extension} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Force ∝ extension (k)} \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{F = - k*l} \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{k → stiffness of spring → spring const.} \tn % Row Count 5 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{(-) → restoring force acts in opp. dir. to applied force} \tn % Row Count 7 (+ 2) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{graph - strgt. line → obeys hooks law} \tn % Row Count 8 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{slope = k} \tn % Row Count 9 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{k = change in f/change in l} \tn % Row Count 10 (+ 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}{Fortin's Barometer (atm p)}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{fortins barometer with att. vernier scale, meter scale} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{P=hρg} \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{ρ → density of mercury} \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{h → ht. of mercury column} \tn % Row Count 5 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Why mercury? → high density, low vapor pressure} \tn % Row Count 6 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}