Final answer:
When a circular loop of wire rotates about a diameter in a magnetic field that is perpendicular to the axis of rotation, the induced current will flow clockwise in the lower half and counterclockwise in the upper half when viewed in the direction of the field. This is consistent with Lenz's Law and can be determined using the right-hand rule.
Step-by-step explanation:
The question relates to the phenomenon of electromagnetic induction, where a current is induced in a loop of wire due to the change in magnetic flux. According to Lenz's Law, the induced current will flow in such a direction as to oppose the change in flux that produces it. Based on the given information, if we are looking in the direction of the field at the loop that rotates about a diameter, the induced current would be clockwise in one half of the loop and counterclockwise in the other half. Specifically, it would be clockwise in the part moving out of the page and counterclockwise in the part moving into the page.
Using the right-hand rule, we can determine the direction of the induced current based on the direction of the rotation and the magnetic field. If the magnetic field is entering the page and we wrap our right hand with the thumb pointing in the direction of the field (into the page), the fingers will curl in the direction of the induced current's flow. This means the loop's upper half will induce a counterclockwise current and the lower half will induce a clockwise current when viewed from the perspective of the magnetic field.