Consider a water tank as shown in the figure. It's cross-sectional… | JEE Main 2021 (18 Mar, Shift 2)

Q19JEE Main 2021 · 18 MAR · SHIFT 2Medium

Velocity of Efflux (Torricelli)

Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m2. The tank has an opening B near the bottom whose cross-section area is 1 cm2. A load of 24 kg is applied on the water at the top when the height of the water level is 40 cm above the bottom, the velocity of water coming out the opening B is v ms-1.

The value of v, to the nearest integer, is ___________. [Take value of g to be 10 ms-2]

Numerical answer type. Work it out, then open the answer.

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Answer: 3

Extra pressure from the load: $\frac{mg}{A} = \frac{24 \times 10}{0.4} = 600\text{ Pa}$
Bernoulli: $\frac{1}{2}\rho v^2 = 600 + 1000(10)(0.4) = 4600$
$v^2 = 9.2 \Rightarrow v \approx 3.03\text{ m/s}$
So $v \approx 3$ .

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Velocity of Efflux (Torricelli) question from JEE Main 2021 (18 Mar, Shift 2)

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