Question $2(10$ points$)$ A cylindrical stationary water tank sits on a frictionless surface and discharges water out of two holes denoted as H$1$ and H$2.$ There is a constant water supply to the tank, which keeps water surface elevation constant. With respect to the bottom of the tank, H$1$ and H$2$ are located at elevations $21$ and $22,$ respectively. If $21>22,$ which one of the following is false?$($a$).$ Velocity at H$1$ is smaller than that at H$2.($b$).$ The area of H$1$ is greater than that of H$2.($c$).$ The volume flow rates through H$1$ and H$2$ are equal$($d$).$ From plan view, H$1$ and H$2$ are symmetric with respect to the center of the tank.