The weight of an object at the center of the earth is zero.

The correct option is A True

1. Gravitational Force: The attraction between two bodies is proportional to the product of their masses and inversely proportional to the square of their distance.
2. A body positioned at the earth's center has no weight. This is due to the fact that the mass of the earth is zero at its most accurate center. Only when an item has mass does gravitational force exist.

Hence, the given statement is true.