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Chris Spencer edited data and analysis finding n.tex
almost 10 years ago
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Recall that n was found in correction $c_4$ as $n=1.2385$ and with some algebra it is found that $P=2-n^2=0.466$.
\Subsection{Error in n and P}
Error in n is found by the equation
\[ dn= \sqrt{\frac{\rho_s}{\rho}}\sqrt{(\frac{1/c_4})^2 \[dn= \sqrt{\frac{\rho_s}{\rho}}\sqrt{(\frac{1}{c_4})^2 dc_1^2 +
(\frac{-c_1/c_4^2})^2} dc4^2}\] (\frac{-c_1}{c_4^2})^2} dc_4^2}\]