Hi everyone I encountered 2 cases where I derived two equivalent equations that give different graphs.
Case 1:
Using $T^2$ Vs $l$ in $T^2 = \displaystyle\frac{l}{4\pi^2g}$
Against $T$ Vs $\sqrt{l}$ in the same equation as $Y$ and $X$ variables respectively.
Case 2:
$\displaystyle\frac{L}{l-L}$ Vs $R$ in $\displaystyle\frac{L}{l-L}= \frac{R}{r}$
Against $1/L$ Vs $1/R$ in $\displaystyle\frac{1}{L} = \frac{1}{R}\cdot \frac{r}{l} + \frac{1}{l}$
Here $l$ and $r$ are constants
I'm confident the data is fine. I'm looking for clean linear graphs but I get curved graphs for the latter equation in each case even though I derived them from each other. My question is why do I get different graphs?
Here is a google sheets link to the graphs I plotted: https://docs.google.com/spreadsheets/d/1lABgNxtJ_ZF7Rs9ytIhnANd-Fci5lA7otGIeUhgkAWU/edit?usp=sharing