Final answer:
The height a liquid rises between two vertical plates due to capillary action depends on several factors, including surface tension, contact angles, and the plates' separation distance, which typically involve a modified capillary rise equation.
Step-by-step explanation:
The rise in height of a liquid between two vertical plates due to capillary action is related to the surface tension of the liquid, the contact angle of the liquid with the material of the plates, and the separation distance between the plates. It can be derived from the capillary rise equation, typically given as h = (2T cos θ) / (rpg), where h is the height the liquid rises, T is the surface tension of the liquid, θ is the contact angle, r is the effective radius of the capillary, p is the density of the liquid, and g is the acceleration due to gravity.
However, in the case of two vertical plates, we must account for the separation distance d and different contact angles θ1 and θ2. Without sufficient information or an exact formula, we cannot provide an explicit height. Generally, the effective radius r would need to be derived from the geometry of the system, taking into account the separation distance and contact angles, and possibly utilizing a modified version of the standard capillary rise equation.