Use a syringe to draw water from a glass. Why does water rise after the piston?

Physically, the process of drawing water with a syringe can be explained as follows:

Initially, there is no air in the syringe, the syringe is immersed in water and the plunger begins to raise. A vacuum forms inside the syringe. Atmospheric pressure begins to act on the water, and the water begins to fill the syringe until the pressure inside the syringe equals the pressure outside (atmospheric pressure). If you fill the syringe with air and then lower it into water, then the water will not rise, since the pressure inside the syringe is equal to atmospheric pressure.

Therefore, the correct answer: the water begins to rise due to the influence of atmospheric pressure.