10. Continuity Equation and Bernoulli's Principle and It’s Application
Mechanical Properties of Fluids

143436 A Pipeline has two ends with areas of cross section as $20 \mathrm{~cm}^{2}$ and $10 \mathrm{~cm}^{2}$ respectively. Consider a steady flow of water in the pipeline such that. The velocity of flow and the pressure at the larger opening is $2 \mathrm{~m} / \mathrm{s}$ and $9000 \mathrm{~Pa}$ respectively. What is the pressure at the smaller opening?
(use density of water $=10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ )

1 $1500 \mathrm{~Pa}$
2 $1800 \mathrm{~Pa}$
3 $1300 \mathrm{~Pa}$
4 $3000 \mathrm{~Pa}$
Mechanical Properties of Fluids

143437 Match the columns I and II
| Column I | Column II |
| :--- | :--- |
| A. Stoke's law | I. Pressure and energy |
| B. Turbulence | II. Hydraulic lift |
| C. Bernoulli's \lt br> Principle | III. Viscous drag |
| D. Pascal's law | IV. Reynold's number |
The correct match is

1 III (A) IV (B) I (C) II (D)
2 I (A) II (B) III (C) IV (D)
3 II (A) I (B) IV (C) III (D)
4 III (A) IV (B) II (C) I (D)
Mechanical Properties of Fluids

143438 Water is pumped steadly out of a flooded basement, at the speed of $10 \mathrm{~m} / \mathrm{s}$ through a hose (tube) of radius $1 \mathrm{~cm}$, passing through a window $3 \mathrm{~m}$ above the water level. The power of the pump is
(Assume $g=10 \mathrm{~m} / \mathrm{s}^{2}$, density of water $=1000$ $\left.\mathrm{kg} / \mathrm{m}^{3}\right)$

1 $80 \pi \mathrm{W}$
2 $30 \pi \mathrm{W}$
3 $50 \pi \mathrm{W}$
4 $90 \pi \mathrm{W}$
Mechanical Properties of Fluids

143439 A shower head has 25 circular openings, each with radius $1 \mathrm{~mm}$. The shower head is connected to a pipe with radius $2 \mathrm{~cm}$. If the speed of the water in the pipe is $25 \mathrm{~cm} / \mathrm{sec}$, what is its speed as it exits the shower head openings?

1 $1 \mathrm{~m} / \mathrm{s}$
2 $2 \mathrm{~m} / \mathrm{s}$
3 $4 \mathrm{~m} / \mathrm{s}$
4 $5 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143436 A Pipeline has two ends with areas of cross section as $20 \mathrm{~cm}^{2}$ and $10 \mathrm{~cm}^{2}$ respectively. Consider a steady flow of water in the pipeline such that. The velocity of flow and the pressure at the larger opening is $2 \mathrm{~m} / \mathrm{s}$ and $9000 \mathrm{~Pa}$ respectively. What is the pressure at the smaller opening?
(use density of water $=10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ )

1 $1500 \mathrm{~Pa}$
2 $1800 \mathrm{~Pa}$
3 $1300 \mathrm{~Pa}$
4 $3000 \mathrm{~Pa}$
Mechanical Properties of Fluids

143437 Match the columns I and II
| Column I | Column II |
| :--- | :--- |
| A. Stoke's law | I. Pressure and energy |
| B. Turbulence | II. Hydraulic lift |
| C. Bernoulli's \lt br> Principle | III. Viscous drag |
| D. Pascal's law | IV. Reynold's number |
The correct match is

1 III (A) IV (B) I (C) II (D)
2 I (A) II (B) III (C) IV (D)
3 II (A) I (B) IV (C) III (D)
4 III (A) IV (B) II (C) I (D)
Mechanical Properties of Fluids

143438 Water is pumped steadly out of a flooded basement, at the speed of $10 \mathrm{~m} / \mathrm{s}$ through a hose (tube) of radius $1 \mathrm{~cm}$, passing through a window $3 \mathrm{~m}$ above the water level. The power of the pump is
(Assume $g=10 \mathrm{~m} / \mathrm{s}^{2}$, density of water $=1000$ $\left.\mathrm{kg} / \mathrm{m}^{3}\right)$

1 $80 \pi \mathrm{W}$
2 $30 \pi \mathrm{W}$
3 $50 \pi \mathrm{W}$
4 $90 \pi \mathrm{W}$
Mechanical Properties of Fluids

143439 A shower head has 25 circular openings, each with radius $1 \mathrm{~mm}$. The shower head is connected to a pipe with radius $2 \mathrm{~cm}$. If the speed of the water in the pipe is $25 \mathrm{~cm} / \mathrm{sec}$, what is its speed as it exits the shower head openings?

1 $1 \mathrm{~m} / \mathrm{s}$
2 $2 \mathrm{~m} / \mathrm{s}$
3 $4 \mathrm{~m} / \mathrm{s}$
4 $5 \mathrm{~m} / \mathrm{s}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Fluids

143436 A Pipeline has two ends with areas of cross section as $20 \mathrm{~cm}^{2}$ and $10 \mathrm{~cm}^{2}$ respectively. Consider a steady flow of water in the pipeline such that. The velocity of flow and the pressure at the larger opening is $2 \mathrm{~m} / \mathrm{s}$ and $9000 \mathrm{~Pa}$ respectively. What is the pressure at the smaller opening?
(use density of water $=10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ )

1 $1500 \mathrm{~Pa}$
2 $1800 \mathrm{~Pa}$
3 $1300 \mathrm{~Pa}$
4 $3000 \mathrm{~Pa}$
Mechanical Properties of Fluids

143437 Match the columns I and II
| Column I | Column II |
| :--- | :--- |
| A. Stoke's law | I. Pressure and energy |
| B. Turbulence | II. Hydraulic lift |
| C. Bernoulli's \lt br> Principle | III. Viscous drag |
| D. Pascal's law | IV. Reynold's number |
The correct match is

1 III (A) IV (B) I (C) II (D)
2 I (A) II (B) III (C) IV (D)
3 II (A) I (B) IV (C) III (D)
4 III (A) IV (B) II (C) I (D)
Mechanical Properties of Fluids

143438 Water is pumped steadly out of a flooded basement, at the speed of $10 \mathrm{~m} / \mathrm{s}$ through a hose (tube) of radius $1 \mathrm{~cm}$, passing through a window $3 \mathrm{~m}$ above the water level. The power of the pump is
(Assume $g=10 \mathrm{~m} / \mathrm{s}^{2}$, density of water $=1000$ $\left.\mathrm{kg} / \mathrm{m}^{3}\right)$

1 $80 \pi \mathrm{W}$
2 $30 \pi \mathrm{W}$
3 $50 \pi \mathrm{W}$
4 $90 \pi \mathrm{W}$
Mechanical Properties of Fluids

143439 A shower head has 25 circular openings, each with radius $1 \mathrm{~mm}$. The shower head is connected to a pipe with radius $2 \mathrm{~cm}$. If the speed of the water in the pipe is $25 \mathrm{~cm} / \mathrm{sec}$, what is its speed as it exits the shower head openings?

1 $1 \mathrm{~m} / \mathrm{s}$
2 $2 \mathrm{~m} / \mathrm{s}$
3 $4 \mathrm{~m} / \mathrm{s}$
4 $5 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143436 A Pipeline has two ends with areas of cross section as $20 \mathrm{~cm}^{2}$ and $10 \mathrm{~cm}^{2}$ respectively. Consider a steady flow of water in the pipeline such that. The velocity of flow and the pressure at the larger opening is $2 \mathrm{~m} / \mathrm{s}$ and $9000 \mathrm{~Pa}$ respectively. What is the pressure at the smaller opening?
(use density of water $=10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ )

1 $1500 \mathrm{~Pa}$
2 $1800 \mathrm{~Pa}$
3 $1300 \mathrm{~Pa}$
4 $3000 \mathrm{~Pa}$
Mechanical Properties of Fluids

143437 Match the columns I and II
| Column I | Column II |
| :--- | :--- |
| A. Stoke's law | I. Pressure and energy |
| B. Turbulence | II. Hydraulic lift |
| C. Bernoulli's \lt br> Principle | III. Viscous drag |
| D. Pascal's law | IV. Reynold's number |
The correct match is

1 III (A) IV (B) I (C) II (D)
2 I (A) II (B) III (C) IV (D)
3 II (A) I (B) IV (C) III (D)
4 III (A) IV (B) II (C) I (D)
Mechanical Properties of Fluids

143438 Water is pumped steadly out of a flooded basement, at the speed of $10 \mathrm{~m} / \mathrm{s}$ through a hose (tube) of radius $1 \mathrm{~cm}$, passing through a window $3 \mathrm{~m}$ above the water level. The power of the pump is
(Assume $g=10 \mathrm{~m} / \mathrm{s}^{2}$, density of water $=1000$ $\left.\mathrm{kg} / \mathrm{m}^{3}\right)$

1 $80 \pi \mathrm{W}$
2 $30 \pi \mathrm{W}$
3 $50 \pi \mathrm{W}$
4 $90 \pi \mathrm{W}$
Mechanical Properties of Fluids

143439 A shower head has 25 circular openings, each with radius $1 \mathrm{~mm}$. The shower head is connected to a pipe with radius $2 \mathrm{~cm}$. If the speed of the water in the pipe is $25 \mathrm{~cm} / \mathrm{sec}$, what is its speed as it exits the shower head openings?

1 $1 \mathrm{~m} / \mathrm{s}$
2 $2 \mathrm{~m} / \mathrm{s}$
3 $4 \mathrm{~m} / \mathrm{s}$
4 $5 \mathrm{~m} / \mathrm{s}$