Two men of unequal masses hold on to the two sections of a light rope passing over a smooth light pulley. Which of the following are possible?

The question seems to be incomplete as there are no options provided. However, I can tell you the possible scenarios in this situation:

1. If the two men just hold the rope without any movement, the system will be in equilibrium, i.e., no motion will occur.

2. If one man is heavier than the other, and they both let go of the rope, the heavier man will descend while the lighter man will ascend. This is due to the difference in gravitational force acting on the two men.

3. If one man pulls on the rope harder than the other, he can cause the other man to lift off the ground, regardless of their relative weights. This is due to the additional force applied by the man pulling the rope.

4. If both men pull on the rope with equal force, the system will remain in equilibrium, i.e., no motion will occur, regardless of their relative weights.

Please provide the options if you want a specific answer.