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Q. No.The fluid is in streamlined flow through a horizontal pipe with a variable cross-sectional area. Which of the following statements is correct?
1.
The velocity is maximum at the narrowest part of the pipe, and pressure is maximum at the widest part of the pipe.
2.
Both the velocity and pressure are maximum at the narrowest part of the pipe.
3.
Both the velocity and pressure are maximum at the widest part of the pipe.
4.
The velocity is minimum at the narrowest part of the pipe, and the pressure is minimum at the widest part of the pipe.
Subtopic: Equation of Continuity |
69%
Level 2: 60%+
NEET - 2013
Hints
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 |
86%
Level 1: 80%+
NEET - 2023
Hints
Water on the surface of a river \(10\) m deep is observed to be flowing at \(5\) m/s. The shearing stress between horizontal layers of the river is:
(\(\eta=10^{-3}\) SI units)
1. \(10^{-3}\) N/m2
2. \(0.8 \times 10^{-3}\) N/m2
3. \(0.5 \times 10^{-3}\) N/m2
4. \(1\) N/m2
(\(\eta=10^{-3}\) SI units)
1. \(10^{-3}\) N/m2
2. \(0.8 \times 10^{-3}\) N/m2
3. \(0.5 \times 10^{-3}\) N/m2
4. \(1\) N/m2
Subtopic: Viscosity |
84%
Level 1: 80%+
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A horizontal pipe is shown in the figure. The velocity of water at point \(A\) is \(20\) cm/s, and at point \(B,\) it is \(30\) cm/s. Given that the density of water is \(1000\) kg/m3. The pressure difference between points \(A\) and \(B\) is:
| 1. | \(50\) Pa | 2. | \(40\) Pa |
| 3. | \(25\) Pa | 4. | \(0.5\) Pa |
Subtopic: Bernoulli's Theorem |
80%
Level 1: 80%+
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The velocity of the upper layer of water in a river is \(36~\text{kmh}^{-1}.\) Shearing stress between horizontal layers of water is \(10^{-3}~\text{Nm}^{-2}.\) The depth of the river is:
(coefficient of viscosity of water is \(10^{-2}~\text {Pa-s}\) )
1. \(100~\text m\)
2. \(200~\text m\)
3. \(300~\text m\)
4. \(400~\text m\)
(coefficient of viscosity of water is \(10^{-2}~\text {Pa-s}\) )
1. \(100~\text m\)
2. \(200~\text m\)
3. \(300~\text m\)
4. \(400~\text m\)
Subtopic: Viscosity |
88%
Level 1: 80%+
JEE
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A solid wooden cube has sides of length \(a.\) The density of the wood is \(\rho.\) The cube is completely immersed in a beaker of oil, which has a density of \(\sigma.\) The top surface of the cube is horizontal. The gravitational field strength is \(g.\) What is the upward force (upthrust) on the cube due to the oil?
(Assume that no oil is absorbed by the wood.)
1. \((\sigma-\rho)a^{3}g\)
2. \(\rho a^{3}g\)
3. \(\sigma a^{3}\)
4. \(\sigma a^{3}g\)
(Assume that no oil is absorbed by the wood.)
1. \((\sigma-\rho)a^{3}g\)
2. \(\rho a^{3}g\)
3. \(\sigma a^{3}\)
4. \(\sigma a^{3}g\)
Subtopic: Archimedes' Principle |
58%
Level 3: 35%-60%
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Consider a mercury-filled tube as shown in the figure below.
Which of the following options about the pressures at the lettered locations (\({A},\) \({B},\) \({C},\) \({D}\)) is true?
1. \(P_{B}>P_{A}>P_{C}>P_{D}\)
2. \(P_{B}=P_{C}=P_{D}>P_{A}\)
3. \(P_{B}=P_{C}=P_{D}<P_{A}\)
4. \(P_{A}=P_{B}=P_{C}=P_{D}\)
Which of the following options about the pressures at the lettered locations (\({A},\) \({B},\) \({C},\) \({D}\)) is true?
1. \(P_{B}>P_{A}>P_{C}>P_{D}\)
2. \(P_{B}=P_{C}=P_{D}>P_{A}\)
3. \(P_{B}=P_{C}=P_{D}<P_{A}\)
4. \(P_{A}=P_{B}=P_{C}=P_{D}\)
Subtopic: Pressure |
71%
Level 2: 60%+
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A small spherical ball of radius \(0.1~\text{mm}\) and density \(10^{4}~\text{kg-m}^{-3}\) falls freely under gravity through a distance of \(h\) before entering a tank of water. If after entering the water, the velocity of the ball does not change and it continues to fall with the same constant velocity inside the water, then the value of \(h\) will be:
(given \(g=10~\text{m/s}^2,\) the viscosity of water \(=1.0\times10^{-5}~\text{N-sm}^{-2}\) )
1. \(15~\text m\)
2. \(25~\text m\)
3. \(20~\text m\)
4. \(10~\text m\)
(given \(g=10~\text{m/s}^2,\) the viscosity of water \(=1.0\times10^{-5}~\text{N-sm}^{-2}\) )
1. \(15~\text m\)
2. \(25~\text m\)
3. \(20~\text m\)
4. \(10~\text m\)
Subtopic: Stokes' Law |
73%
Level 2: 60%+
JEE
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A boat carrying a number of large stones is floating in a water tank. What will happen to the water level if the stones are unloaded into the water?
| 1. | the water level remains unchanged. |
| 2. | the water level falls. |
| 3. | the water level rises. |
| 4. | the water level rises till half the number of stones are unloaded and then begins to fall. |
Subtopic: Properties of Fluids |
60%
Level 2: 60%+
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A steel ball is dropped in a viscous liquid. The distance-time graph of the steel ball in the liquid is shown below. The terminal velocity of the ball is closest to:
1. \(0.26~\text{m/s} \)
2. \(0.33~\text{m/s} \)
3. \(0.45~\text{m/s} \)
4. \(0.21~\text{m/s} \)
1. \(0.26~\text{m/s} \)
2. \(0.33~\text{m/s} \)
3. \(0.45~\text{m/s} \)
4. \(0.21~\text{m/s} \)
Subtopic: Stokes' Law |
Level 3: 35%-60%
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