The string is needed to apply a torque to the ball.
Answer: Option A
Explanation:
To rotate any object in a circle, the most important factors are force and perpendicular distance around the center. The product of these two factors produces torque, i.e. Forces x vertical distance. An object moving in a circle must exert an internal force to achieve internal acceleration.
In this case, the string is needed for the ball to rotate, because that makes the ball go in a circle. This is done by dragging the object to the center of the circle.