Q. No.Given below are two statements:
| Assertion (A): | Water flows through a smooth horizontal tube with a narrowing cross-section and its pressure increases. |
| Reason (R): | Bernoulli's equation for fluids states that \(P+\dfrac{1}{2}\rho v^2+\rho gh= \) constant along a streamline. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Bernoulli's Theorem |
62%
Level 2: 60%+
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In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of the wing are \(70~\text{ms}^{-1}\) and \(63~\text{ms}^{-1}\) respectively. What is the lift on the wing if its area is \(2.5~\text{m}^2\)? (Take the density of air to be \(1.3 ~\text{kg m}^{-3}\))
1. \(2.5\times 10^5~\text{N}\)
2. \(1.5\times 10^5~\text{N}\)
3. \(2.5\times 10^3~\text{N}\)
4. \(1.5\times 10^3~\text{N}\)
Subtopic: Bernoulli's Theorem |
59%
Level 3: 35%-60%
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Bernoulli's theorem is based on the conservation of:
1. momentum
2. mass
3. energy
4. angular momentum
1. momentum
2. mass
3. energy
4. angular momentum
Subtopic: Bernoulli's Theorem |
85%
Level 1: 80%+
Hints
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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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 small hole of an area of cross-section \(2~\text{mm}^2\) is present near the bottom of a fully filled open tank of height \(2~\text{m}.\) Taking \((g = 10~\text{m/s}^2),\) the rate of flow of water through the open hole would be nearly:
| 1. | \(6.4\times10^{-6}~\text{m}^{3}/\text{s}\) | 2. | \(12.6\times10^{-6}~\text{m}^{3}/\text{s}\) |
| 3. | \(8.9\times10^{-6}~\text{m}^{3}/\text{s}\) | 4. | \(2.23\times10^{-6}~\text{m}^{3}/\text{s}\) |
Subtopic: Bernoulli's Theorem |
76%
Level 2: 60%+
NEET - 2019
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The platelets are drifting with the blood flowing in a streamlined flow through a horizontal artery as shown below. The artery is contracted in Region II.
Choose the correct statement.
Choose the correct statement.
| 1. | As the platelets enter a constriction, the platelets get squeezed closer together in the narrow region and hence the fluid pressure must rise there. |
| 2. | As the platelets enter a constriction, pressure is lower there. |
| 3. | The artery's cross-section area is smaller in the constriction and thus the pressure must be larger there because pressure equals the force divided by area. |
| 4. | The pressure is the same in all the parts of the artery. |
Subtopic: Bernoulli's Theorem |
Level 3: 35%-60%
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A fully loaded Boeing aircraft has a mass of \(3.3\times10^{5}~\text{kg}.\) Its total wing area is \(500~\text{m}^2\). It is in level flight with a speed of \(960\) km/h. The fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface is:
1. \(0.008\)
2. \(0.08\)
3. \(0.8\)
4. \(8.0\)
1. \(0.008\)
2. \(0.08\)
3. \(0.8\)
4. \(8.0\)
Subtopic: Bernoulli's Theorem |
61%
Level 2: 60%+
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An ideal fluid is flowing in a non-uniform cross-sectional tube \(XY\) (as shown in the figure) from end \(X\) to end \(Y.\) If \(K_1\) and \(K_2\) are the kinetic energies per unit volume of the fluid at \(X\) and \(Y\) respectively, the correct relationship between \(K_1\) and \(K_2\) is:
| 1. | \(K_1=K_2\) | 2. | \({2K}_1={K}_2\) |
| 3. | \({K}_1>{K}_2\) | 4. | \({K}_1<{K}_2\) |
Subtopic: Bernoulli's Theorem |
70%
Level 2: 60%+
NEET - 2024
Hints
An open-top tank, filled up to a height of \(5~\text m,\) has a hole at the bottom. What will be the velocity of water coming out of the hole?
(take \(g=10~\text{m/s}^2\) )
1. \(100~\text {m/s}\)
2. \(50~\text {m/s}\)
3. \(10~\text {m/s}\)
4. \(8~\text {m/s}\)
(take \(g=10~\text{m/s}^2\) )
1. \(100~\text {m/s}\)
2. \(50~\text {m/s}\)
3. \(10~\text {m/s}\)
4. \(8~\text {m/s}\)
Subtopic: Bernoulli's Theorem |
93%
Level 1: 80%+
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