@@ -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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+
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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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+
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+ \section {Mirrors and Refraction }
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+
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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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+
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+ \section {Lenses }
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+
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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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+
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\end {multicols* }
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\end {document }
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