- 1(current)
Q. No.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: Â Bernoulli's Theorem |
 90%
Level 1: 80%+
NEET - 2022
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A wind with a speed of \(40~\text{m/s}\) blows parallel to the roof of a house. The area of the roof is \(250~\text{m}^2.\) Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be:
\((\rho_{\text {air }}=1.2~\text{kg/m}^3)\)
\((\rho_{\text {air }}=1.2~\text{kg/m}^3)\)
| 1. | \(4 \times 10^5~\text N,\) downwards | 2. | \(4 \times 10^5~\text N,\) upwards |
| 3. | \(2.4 \times 10^5~\text N,\) upwards | 4. | \(2.4 \times 10^5~\text N,\) downwards |
Subtopic: Â Bernoulli's Theorem |
 72%
Level 2: 60%+
NEET - 2015
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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: Â Bernoulli's Theorem |
 74%
Level 2: 60%+
Hints
Water is flowing through a long horizontal tube. Let \(P_A\) and \(P_B\) be the pressures at two points \(A\) and \(B\) of the tube.
| 1. | \(P_A\) must be equal to \(P_B\). |
| 2. | \(P_A\) must be greater than \(P_B\). |
| 3. | \(P_A\) must be smaller than \(P_B\). |
| 4. | \(P_A\) = \(P_B\) only if the cross-sectional area at A and B are equal. |
Subtopic: Â Bernoulli's Theorem |
 78%
Level 2: 60%+
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Water flows from a small hole at the bottom of a rectangular tank at \(10\) m/s after it had been filled for \(20\) min. For how much time should the empty tank be filled at the same rate so that the speed of efflux is doubled? (i.e. it becomes \(20\) m/s)
1. \(40\) min
2. \(80\) min
3. \(160\) min
4. \(320\) min
1. \(40\) min
2. \(80\) min
3. \(160\) min
4. \(320\) min
Subtopic: Â Bernoulli's Theorem |
 55%
Level 3: 35%-60%
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- 1(current)
Q. No.
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