Final answer:
When a positively charged rod is brought near one of two interconnected uncharged metal spheres, negative charges are attracted towards the rod while positive charges are repelled to the right sphere. The right sphere ends up with a positive charge due to the separation of charges. Hence, choice B) The right sphere has a positive charge, is correct.
Step-by-step explanation:
When a positively charged rod is brought near one of two interconnected uncharged metal spheres, it induces a separation of charges due to electrostatic induction. The negative charges in the left sphere are attracted towards the rod, while the positive charges are repelled to the right sphere. Since the spheres are connected by a conducting wire, the negative charge can freely move to the left sphere while the positive charge is pushed to the right sphere. Upon removing the conducting wire before taking away the charged rod, the right sphere ends up with a positive charge.
So, as a result of this, when a positively charged rod is brought near the left sphere and the sphere is attracted to the rod, the correct answer about the net charge on the right sphere is that the right sphere has a positive charge. This process is known as charging by induction. Therefore, the correct choice is B) The right sphere has a positive charge.