Plot a graph of T2 against l using the following data points: (1.00, 4.04), (0.90, 3.61), (0.80, 3.24), (0.70, 2.86), (0.60, 2.40), (0.50, 2.07). Describe the expected appearance of the graph.

• Draw a horizontal axis (x-axis) and label it "$l$ (m)".
• Draw a vertical axis (y-axis) and label it "$T^2$ (s$^2$)".

• For the $l$ (m) axis: The values range from 0.50 m to 1.00 m. A suitable scale would be from 0 m to 1.1 m, with major grid lines every 0.1 m.
• For the $T^2$ (s$^2$) axis: The values range from 2.07 s$^2$ to 4.04 s$^2$. A suitable scale would be from 0 s$^2$ to 4.5 s$^2$, with major grid lines every 0.5 s$^2$.

Plot the following $(l, T^2)$ coordinate pairs on your graph paper:

• $(1.00, 4.04)$
• $(0.90, 3.61)$
• $(0.80, 3.24)$
• $(0.70, 2.86)$
• $(0.60, 2.40)$
• $(0.50, 2.07)$

• Once all points are plotted, draw a single straight line that passes as close as possible to all the points. This line represents the best-fit line for the data. It should pass through or very close to the origin $(0,0)$ if the relationship $T^2 \propto l$ holds true.

Expected appearance of the graph:
The graph of $T^2$ against $l$ should be a straight line passing through the origin (or very close to it), indicating a direct proportionality between $T^2$ and $l$. The slope of this line will be $\frac{4\pi^2}{g}$, where $g$ is the acceleration due to gravity.