Answer:
Yes
Step-by-step explanation:
The law of electrostatics states that like charges repel, while unlike charges attract. When you place either of the charged rods on the rotating stand, bring the rod of unknown charge-state in its neigbourhood. If there is repulsion, it shows that both rods have same charge, while attraction would show opposite charges. If the rod is neutral, there would be no reaction, since net charge is zero.