Figure shows a student, sitting on a stool that can rotate freely about a vertical axis. The student, initially at rest, is holding a bicycle wheel whose rim is loaded with lead and whose moment of inertia is I about its central axis. The wheel is rotating at an angular speed `omega_i` from an overead perspective, the rotation is counter clockwise. The axis of the wheel point vertical, and the angular momentum `vecL_i` of the wheel points vertically upward. The student now inverts the wheel, as a result, the student and stool rotate about the stool axis. With what angular speed and direction does the student then rotate? (The moment of inertia of the student+stool+wheel system about the stool axis is `I_0`)

Options

A. `(2vecL_i)/I_0` conunter clockwise
B. `(2vecL_i)/I_0`, clockwise
C. `(vecL_i)/I_0` conunter clockwise
D. `(vecL_i)/I_0`, clockwise