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Daniel J. Perry
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sheet.tex

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@@ -82,6 +82,7 @@ \section{Constants}
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\begin{alignat*}{2}
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c &= \scinot{2.998}{8} && \quad \mathrm{m / s}\\
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h &= \scinot{6.626}{-34} && \quad \mathrm{J \cdot s}\\
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q_e &= \scinot{1.602}{-19} && \quad \mathrm{C}\\
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m_e &= \scinot{9.109}{-31} && \quad \mathrm{kg}\\
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\mu_e &= \scinot{-9.285}{-24} && \quad \mathrm{J/T}\\
@@ -324,6 +325,7 @@ \section{Maxwell's Equations}
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\newpage
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% --------------------------------------------------------------------
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\begin{multicols*}{4}
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\begin{center}
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\Large
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Physics \textrm{I} \\
@@ -416,6 +418,38 @@ \subsection{Waves}
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-x
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\end{align*}
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\vfill\null\columnbreak
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\begin{center}
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\Large
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Optics
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\end{center}
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\section{Mirrors and Refraction}
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\begin{align*}
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n &= \frac{c}{v}\\
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&= \frac{\lambda_0}{\lambda}\\
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E &= hf && (\text{Photon Energy})\\
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n_1 \sin \theta_a &= n_2 \sin \theta_b && (\text{Snell's Law})\\
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\sin \theta_c &= \frac{n_1}{n_2} && (\text{Critical Angle})\\
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I &= I_0\cos^2 \theta && (\text{Malus Law})\\
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\tan \theta_p &= \frac{n_2}{n_1} && (\text{Brewster's Angle})\\
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n_2 &= \frac{d_\text{real}}{d_\text{app}}\\
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I &= \left({\frac{n_1 - n_2}{n_1 + n_2}}\right)^2I_0 &&
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(\text{Reflected intensity})
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\end{align*}
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\section{Lenses}
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\begin{align*}
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f &= \frac{R}{2}\\
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\frac{1}{f} &= \left({\frac{n_2}{n_1} - 1}\right)
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\left({\frac{1}{R_1} - \frac{1}{R_2}}\right) && (\text{Lens
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Maker's})\\
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&= \frac{1}{s} + \frac{1}{s'}\\
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m &= \frac{y'}{y} = -\frac{s'}{s}
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\end{align*}
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\end{multicols*}
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\end{document}
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