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\documentclass[./manual.tex]{subfiles}
\begin{document}
\chapter*{Optical Interferometry - Pre-lab exercise}
\section*{1. Theoretical graph}
Plot the theoretical dependence of the air refractive index on the pressure. Assume that in vacuum $n=1$, and at one atmosphere $p_0=76$~cm Hg it is $n_{STP}=1.000293$.
\section*{2. Error propagation}
Derive the expressions for the uncertainty of the wavelength measurements, given by Eq.(4) and for the individual refractive index measurements, given by Eq.(5).
Discuss the strategy of reducing these uncertainty (assuming that you cannot upgrade the equipment).
\end{document}
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