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Q. No.A small sphere of density \(\rho\) is completely submerged in a liquid of density \(3\rho\) and released. The magnitude of its acceleration just after release equals:
1. \(g\)
2. \(\dfrac{g}{3}\)
3. \(2g\)
4. \(3g\)
Subtopic: Archimedes' Principle |
62%
Level 2: 60%+
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When water flows out of a small hole at the bottom of a large tank of uniform cross-section, the average flow rate equals the average of the initial and the final flow rate. The time to empty the tank is \(1~\text{hr},\) using a small pipe at the bottom. If the tank were to be filled to twice its previous level, the time required will be:
1. \(1~\text{hr}\)
2. \(\sqrt2~\text{hr}\)
3. \(2~\text{hr}\)
4. \(4~\text{hr}\)
1. \(1~\text{hr}\)
2. \(\sqrt2~\text{hr}\)
3. \(2~\text{hr}\)
4. \(4~\text{hr}\)
Subtopic: Bernoulli's Theorem |
74%
Level 2: 60%+
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A tank full of water is placed in an elevator. The elevator accelerates upward. The water pressure at the bottom of the tank:
1. decreases
2. increases
3. remains unchanged
4. first increases and then decreases
1. decreases
2. increases
3. remains unchanged
4. first increases and then decreases
Subtopic: Pressure |
78%
Level 2: 60%+
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If a soap bubble expands, the pressure inside the bubble:
1. is equal to the atmospheric pressure
2. decreases
3. increases
4. remains the same
1. is equal to the atmospheric pressure
2. decreases
3. increases
4. remains the same
Subtopic: Surface Tension |
70%
Level 2: 60%+
NEET - 2022
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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
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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 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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