Given below are two statements: Statement I: The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well. Statement II: The rise of a liquid in a capillary tube does not depend on the inner radius of the tube. In the light of the above statements, choose the correct answer from the options given below:

Evaluate the two statements about contact angle and capillary rise.

Statement I: "The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well." This is TRUE. The contact angle depends on the interfacial tensions between three phases: solid-liquid ($$\gamma_{SL}$$), solid-vapor ($$\gamma_{SV}$$), and liquid-vapor ($$\gamma_{LV}$$). These tensions are determined by the molecular properties of both the solid and the liquid. For example, water on glass has a different contact angle than water on wax, because the solid-liquid interaction differs. Similarly, mercury on glass has a different contact angle than water on glass, because the liquid is different.

Statement II: "The rise of a liquid in a capillary tube does not depend on the inner radius of the tube." This is FALSE. The capillary rise formula is:

$$h = \frac{2T\cos\theta}{\rho g r}$$

where $$T$$ is the surface tension, $$\theta$$ is the contact angle, $$\rho$$ is the liquid density, $$g$$ is gravitational acceleration, and $$r$$ is the inner radius of the tube. Clearly, $$h \propto \frac{1}{r}$$, so the capillary rise does depend on the inner radius. A narrower tube gives a greater rise.

The correct answer is Option A: Statement I is true but Statement II is false.