Answer:
When investigating the effect of different diameters on the period of a pendulum, the graph shape will depend on the relationship between the diameter and the period. The period of a pendulum is the time it takes for one complete back-and-forth swing.
There are two possible scenarios:
1. If the diameter and the period have a linear relationship, the graph shape will be a straight line. This means that as the diameter increases or decreases, the period will change proportionally.
2. If the diameter and the period have a non-linear relationship, the graph shape will be a curve. This means that as the diameter changes, the period will not change proportionally. The curve could be concave up (like a U-shape), concave down (like an upside-down U-shape), or have another shape depending on the specific relationship between diameter and period.
To determine the exact shape of the graph, you would need to conduct the experiment and collect data on different diameters and their corresponding periods. Plotting this data on a graph will help you visualize the relationship between the two variables and determine the shape of the graph.
Remember, without specific data or equations, it is not possible to provide a definitive answer on the graph shape. The actual graph shape will depend on the experimental results and the mathematical relationship between diameter and period.