Two identical cylindrical tanks are connected by a narrow tube with a cork at its middle (fig). The radius of tank is $R=20.0cm,$ the radius of the tube is $r=1.0mm$ . The length of the tube is $L=1.5m.$  Water $(\rho =1000kg/m^3)$ is poured into one of the tanks to a height of $h=50cm,$ while the second tank is empty. At the instant  $t=0,$ the cork is opened. [Both the tanks are open at top]

 

 

 

 

 

 

$(\text{Viscosity\hspace{0.17em}of\hspace{0.17em}water\hspace{0.17em}}\eta =1\times {10}^{-3}Pa-s)$

Given poiseuille’s equation for volume flow rate of fluid in a tube  $\frac{dV}{dt}=\frac{\Delta P\pi r^4}{8\eta L}$
$\Delta P\to$  pressure difference across ends of the tube
$r\to$  radius of tube
$L\to$  length of tube