A thin rod has a non-uniform density. It is mounted on an axle passing through its center of mass and perpendicular to it, as shown. It is rotated about the axle. Which of the following must be true, no matter how the mass in the rod is distributed?

a) The two parts have the same mass.

b) The magnitudes of the momentum of the two parts are equal.

c) The magnitudes of the angular momentum of the two parts, about the center of mass, are equal

d) The kinetic energies of the two parts are equal.

Which of the above statements is correct: