Contact Angle In Capillary

Yes, the contact angle will change. When the length of the capillary tube is sufficient, we balance the hydrostatic and the capillary pressure to obtain the rise in height $h=\frac{2\gamma\cos\theta}{\rho g r}$ with $\gamma$ is the surface tension, $\theta$ is the contact angle, $\rho$ is the density, $g$ is the acceleration due to gravity and $r$ is the radius of the capillary tube ( not the radius of curvature of the meniscus ). Now when the tube is of insufficient length, the pressure balance will still hold and the maximum rise in height will become the length of the tube $L$. From the pressure balance, $L=\frac{2\gamma\cos\theta_o}{\rho g r}$. The only quantity that can change is the contact angle, because all the other parameters are fixed for a given system. The radius of curvature of the meniscus will also change. Initially, it was $R=r/\cos\theta$. For the new tube it will become $R_o=r/\cos\theta_o$. I hope this answers your question.