Answer
The hoop has a larger period of oscillation.
Work Step by Step
We can use the equation for the period of a physical pendulum:
$T = 2\pi~\sqrt{\frac{I}{mgd}}$
$I$ is the moment of inertia
$d$ is the distance from the center of mass to the pivot
The mass and distance to the pivot are the same for both objects. However, the hoop has a greater moment of inertia than the disk. Therefore, the hoop has a larger period of oscillation.
