Question

A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.80.8). The height of water is 3m3m and that of kerosene 2m2m. When the hole is opened the velocity of fluid coming out from it is nearly : (take g=10ms2g=10ms2 and density of water =103kgm3)

Answer 1

As we have learned

Torricelli's Theorem / Velocity of Efflux -

In fluid dynamics relating the speed of fluid flowing out of an orifice.  

- wherein

According to torcellli theorem  

velocity of efflux = \sqrt{2gh }

Left density of water is \rho w

Density of kerosene = 0. 8 \rho w

Apply bernoulli between A and B  

\rho _a + \rho _wg\times 3+(0.8\rho _w)g\times 2=\rho _a+0 +1/2 \cdot \rho _wv^2

v^2 = 9.2 g \Rightarrow v = \sqrt{92 }m/s = 9.6 m/s