To achieve the desired separation of charges in the conducting spheres, the student should use a method that induces charge separation through electrostatic induction.
When a negatively charged rod is brought near the left sphere, it will cause the electrons in that sphere to be repelled, resulting in a positive charge on the side closest to the rod and a negative charge on the side farthest from the rod. Consequently, if the right sphere is neutral and initially in contact or very close, it can become negatively charged due to the movement of electrons towards it.
Thus, the correct choice for the student to produce the desired charge distribution is:
A. She should place a negatively charged rod near the left sphere.