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Madeline Horn added We_were_able_to_set__.tex
over 8 years ago
Commit id: a7b382d65b20d59d1e614174d766a8413c219df3
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We were able to set up a ratio in order to figure out how old the second sample was:
\begin{equation}\label{eq:age}
\textrm{Age of First Sample} / \textrm{Y-value of First Sample} = \textrm{Age of Second Sample} / \textrm{Y-value of Seocond Sample}
\end{equation}
Where we were trying to figure out the age of the second sample.
After, we had to use the equation for half-life in order to find out how old the sample actually was because it started out with $1 \mu \textrm{Curie}$. The equation used is as follows:
\begin{equation}\label{eq:half_life}
N = N_o e^{-\lamda t}
\end{equation}
Where $\lamda$ is the half-life age, which is 30.2 years for Cesium-137, N is the amount of the sample after a given time t, and $\textrm{N_{o}}$ is the amount of the sample at time t=0.
Table 3 shows the final values obtained. As you can see, sample two is 2.15 times older than sample one.
