Final answer:
The statement is false. Angular momentum is not conserved in this system because there is an external torque acting on the system.
Step-by-step explanation:
False The statement is false. When the bullet is shot through the two cardboard disks attached a distance d apart to a shaft turning with a rotational period T, there is an external torque acting on the system. The bullet applies a torque on the disks, causing them to rotate. Therefore, angular momentum is not conserved in this system. Conservation of angular momentum and the principle of conservation of energy are crucial in understanding the bullet's impact on the system's rotation. Analyzing these principles provides insights into the bullet's speed, the system's initial and final angular velocities, and the rotational dynamics involved.