Simple and Physical Pendulums Practice Test

A physical pendulum has a certain period of oscillation. If the mass of the pendulum is doubled, but its shape, size, and pivot point remain exactly the same, what is the effect on its period?

A torsion pendulum consists of a solid disk with rotational inertia $$I$$ attached to a wire with torsion constant $$\kappa$$. It oscillates with a period $$T_0$$. If the disk is replaced with a hoop of the same mass and radius, what is the new period? The rotational inertia of a hoop is twice that of a solid disk of the same mass and radius.