Water flows in a streamline motion through a horizontal pipe of circular cross-section, as shown in the figure. The pressure difference of water between \(P\) and \(Q\) is \(15~\text{Nm}^{-2}.\) The areas of cross-section at \(P\) and \(Q\) are \(40~\text{cm}^2\) and \(20~\text{cm}^2,\) respectively. The rate of flow of water through the pipe, in \(\text{cm}^{3} \text{s}^{-1},\) is:
(take the density of water\(=1000~\text{kg}~\text{m}^{-3}\))
1. \(400\) 2. \(100\)
3. \(200\) 4. \(300\)
Subtopic:  Bernoulli's Theorem |
Level 3: 35%-60%
NEET - 2026
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An ideal fluid is flowing in a non-uniform cross-sectional tube \(XY\) (as shown in the figure) from end \(X\) to end \(Y.\) If \(K_1\) and \(K_2\) are the kinetic energies per unit volume of the fluid at \(X\) and \(Y\) respectively, the correct relationship between \(K_1\)​ and \(K_2\)​ is:
1. \(K_1=K_2\) 2. \({2K}_1={K}_2\)
3. \({K}_1>{K}_2\) 4. \({K}_1<{K}_2\)
Subtopic:  Bernoulli's Theorem |
 69%
Level 2: 60%+
NEET - 2024
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The venturi-meter works on:
1. The principle of perpendicular axes
2. Huygen's principle
3. Bernoulli's principle
4. The principle of parallel axes
Subtopic:  Bernoulli's Theorem |
 87%
Level 1: 80%+
NEET - 2023
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A fluid of density \(\rho~\)is flowing in a pipe of varying cross-sectional area as shown in the figure. Bernoulli's equation for the motion becomes:

1. \(p+\dfrac12\rho v^2+\rho gh\text{ = constant}\) 2. \(p+\dfrac12\rho v^2\text{ = constant}\)
3. \(\dfrac12\rho v^2+\rho gh\text{ = constant}\) 4. \(p+\rho gh\text{ = constant}\)
Subtopic:  Bernoulli's Theorem |
 90%
Level 1: 80%+
NEET - 2022
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A small hole of an area of cross-section \(2~\text{mm}^2\) is present near the bottom of a fully filled open tank of height \(2~\text{m}.\) Taking \((g = 10~\text{m/s}^2),\) the rate of flow of water through the open hole would be nearly:
1. \(6.4\times10^{-6}~\text{m}^{3}/\text{s}\) 2. \(12.6\times10^{-6}~\text{m}^{3}/\text{s}\)
3. \(8.9\times10^{-6}~\text{m}^{3}/\text{s}\) 4. \(2.23\times10^{-6}~\text{m}^{3}/\text{s}\)
Subtopic:  Bernoulli's Theorem |
 76%
Level 2: 60%+
NEET - 2019
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