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  • Consider a water tank as shown in the figure. It's cross-sectional area is 0.4m2. The tank has an opening B near the bottom whose cross-section area is 1cm2, A load of 24kg applied on the water at the top when the height of wa

Consider a water tank as shown in the figure. It's cross-sectional area is 0.4m2. The tank has an opening B near the bottom whose cross-section area is 1cm2, A load of 24kg applied on the water at the top when the height of water level is 40cm above the bottom, is the velocity of water coming out the opening B is vms-1. The value of v, to the nearest integer, is __________
Option: 1 3
Option: 2 6
Option: 3 9
Option: 4 12

Answers (1)

best_answer

\begin{array}{l} m =24 kg \\ A =0.4 m ^{2} \\ a =1 cm ^{2} \\ H =40 cm \end{array}

Using Bernoulli's equation

\begin{aligned} &\Rightarrow\left( P _{0}+\frac{ mg }{ A }\right)+\rho gH +\frac{1}{2} \rho V _{1}^{2}\\ &=P_{0}+0+\frac{1}{2} \rho v^{2}\\ &\Rightarrow \text { Neglecting } v _{1}\\ &\Rightarrow v =\sqrt{2 gH +\frac{2 mg }{ A \rho}}\\ &\Rightarrow v =\sqrt{8+1.2}\\ &\Rightarrow v =3.033 m / s\\ &\Rightarrow v \simeq 3 m / s \end{aligned}

Note V1 is negligible and assumed to be zero. Because the area of upper portion is very large as compare to lower hole

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Deependra Verma

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