Answer
Since this higher inertia makes the pendulum with the ball more resistant to movement, it will have a greater period than the rod pendulum.
Work Step by Step
We know that rotational inertia depends on where the mass is located. With the ball, the mass is located further from the pivot point, increasing rotational inertia. Since this higher inertia makes the pendulum with the ball more resistant to movement, it will have a greater period than the rod pendulum.
