JEE Main 2014 · 11 Apr · Shift 1 · Physics Q9

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PhysicsSingle correct+4 / -1Question 9 of 90

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 $=10^3$ kg m $^{-3}$ )

10.7 ms

^{-1}

9.6 ms

^{-1}

8.5 ms

^{-1}

7.6 ms

^{-1}

Answer and worked solution

Official answer: B

Pressure at the hole above atmospheric:
$\rho_wg(3)+0.8\rho_wg(2)=\rho_wg(4.6\text{ m}).$
For the water flowing out, Torricelli gives $v=\sqrt{2g(4.6)}=\sqrt{92}\approx9.6$ m s⁻¹.

Topics:Bernoulli's principle Pressure and Pascal's law

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JEE Main 2014 · 11 Apr · Shift 1, Physics question 9