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A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.8). The height of water is 3 m and that of kerosene 2 m. When the hole is opened the velocity of fluid coming out from it is nearly : (take g=10 ms-2 and density of water =103 kg m-3)

  • Option 1)

    10.7 ms-1

  • Option 2)

    9.6 ms-1

  • Option 3)

    8.5 ms-1

  • Option 4)

    7.6 ms-1

 

Answers (1)

best_answer

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

 

 

 

 


Option 1)

10.7 ms-1

Option 2)

9.6 ms-1

Option 3)

8.5 ms-1

Option 4)

7.6 ms-1

Posted by

SudhirSol

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