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Q. No.A spherical ball is dropped into a long column of a highly viscous liquid. The graph that represents the speed of the ball \((v)\) as a function of time \((t)\) is:
1.
\(D\)
2.
\(A\)
3.
\(B\)
4.
\(C\)
Subtopic: Viscosity |
73%
Level 2: 60%+
NEET - 2022
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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 |
76%
Level 2: 60%+
NEET - 2022
Hints
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
Hints
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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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 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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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 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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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 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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