this is for holding javascript data
Chris Spencer edited Data and Analysis.tex
almost 10 years ago
Commit id: cc1ec0dc3d669367a217103314ee21f5d13529c6
deletions | additions
diff --git a/Data and Analysis.tex b/Data and Analysis.tex
index 2b6abb2..9eb40d8 100644
--- a/Data and Analysis.tex
+++ b/Data and Analysis.tex
...
First to plot $c_1$,frequencies were found from the recorded data at various pressures. The frequencies and the sound speed are related by $f=\frac{c_1n}{2L}$ and solving for results in \[c_1=\frac{f2L}{n}\] where L=0.0495 meters and choose n=1.
Pressure data was taken from in torr and converted into temperatures in kelvin using a Maynard Table.
Temperatures were taken then from 1.3 K to 2.0 kelvin in .02 K temeperature steps then 2.0 to 2.18 Kelvin in .01 K temperature steps. Figure 6 shows the experimental $c_1$ vs T. In comparison to figure 3, it can be seen that the data matches very closely to the theoretical prediction of figure 3. What is reassuring is that even the at $T_{\lambda}\approx1.7$, the same "dent" is seen in the experimental graph of $c_1$ vs Temperature is in agreement with the theoretica plot of first sound in figure 3.
\subsection{Error in $c_1$ and Temperaure}