A tank has a small hole in its side at a heighty ${\mathrm{y}}_1$. It is filled with a liquid (density $\mathrm{\rho }$) to a height ${\mathrm{y}}_2$. If the absolute pressure at the top of the fluid is ${\mathrm{P}}_{\mathrm{t}}$, find the velocity with which it leaves the tank. Assume that the cross- sectional area of the tank is larger as compared to that of the hole.

 

• A

  $\sqrt{\frac{2({\mathrm{p}}_{\mathrm{t}}-{\mathrm{p}}_0)}{\mathrm{\rho }}}+2\mathrm{g}({\mathrm{y}}_2-{\mathrm{y}}_1)$

• B

  $\sqrt{\frac{({\mathrm{p}}_{\mathrm{t}}-{\mathrm{p}}_{\mathrm{o}})}{\mathrm{\rho }}}+2\mathrm{g}({\mathrm{y}}_2-{\mathrm{y}}_1)$

• C

  $\sqrt{\frac{({\mathrm{p}}_{\mathrm{t}}-{\mathrm{p}}_0)}{\mathrm{\rho }}}-2\mathrm{g}({\mathrm{y}}_2-{\mathrm{y}}_1)$

• D

  $\sqrt{\frac{2{\mathrm{p}}_{\mathrm{t}}}{\mathrm{\rho }}}+2\mathrm{g}({\mathrm{y}}_2-{\mathrm{y}}_1)$