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. \(P_{A}=P_{B}=P_{C}=P_{D}\)
Subtopic:  Pressure |
 71%
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Streamline flow is more likely for liquids with

(a) high density. (b) high viscosity.
(c) low density. (d) low viscosity.

Choose the correct option:

1. (a), (b) 2. (c), (d)
3. (b), (c) 4. (a), (d)
Subtopic:  Types of Flows |
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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 |
 61%
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Given below are two statements: 

Statement I: Two bodies of different masses, shapes, and sizes may experience the same thrust when their volumes inside a fluid are equal.
Statement II: A soft plastic bag weighs the same when empty or when filled with air at atmospheric pressure.
 
1. Only Statement I is True.
2. Only Statement II is True.
3. Both Statement I and Statement II are True.
4. Both Statement I and Statement II are False.
Subtopic:  Archimedes' Principle |
 60%
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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 |
 68%
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NEET - 2013
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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%
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The correct statement about the variation of viscosity of fluids with an increase in temperature is:

1. viscosity of gases decreases.
2. viscosity of both liquids and gases increases.
3. viscosity of liquids increases.
4. viscosity of liquids decreases.
Subtopic:  Viscosity |
 75%
From NCERT
NEET - 2022
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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. \(0.21~\text{m/s}\)
Subtopic:  Stokes' Law |
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The radius of a soap bubble is \(R.\) The surface tension of the soap solution is \(T,\) if the radius of the soap bubble is increased to \(3R\) then the energy required is:
(consider no loss anywhere)
1. \(64\pi R^{2}T\)
2. \(9\pi R^{2}T\)
3. \(32\pi R^{2}T\)
4. \(72\pi R^{2}T\)
Subtopic:  Surface Tension |
 65%
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In a vertical capillary of height \(3h,\) water rises upto height \(h.\) If the capillary is tilted at \(30^\circ\) with horizontal, then the height upto which water will rise becomes:
1. \(3h\)
2. \(2h\)
3.  \(h\)
4. \(\dfrac {3h} 2\)
Subtopic:  Capillary Rise |
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