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

143445 Radius of one arm of hydraulic lift is four times of radius of other arm. What force should be applied on narrow arm to lift $100 \mathrm{~kg}$.

1 $26.5 \mathrm{~N}$
2 $62.5 \mathrm{~N}$
3 $6.25 \mathrm{~N}$
4 $8.3 \mathrm{~N}$
Mechanical Properties of Fluids

143446 Tanks $A$ and $B$ open at the top contain two different liquids upto certain height in them. A hole is made to the wall of each tank at a depth $h$ from the surface of the liquid. The area of the hole in $B$ is twice that of in $A$. If the liquid mass flux through each hole is equal, then the ratio of the densities of the liquids respectively, is

1 2
2 $\frac{3}{2}$
3 $\frac{2}{3}$
4 $\frac{1}{2}$
Mechanical Properties of Fluids

143447 There are two holes one each along the opposite sides of a wide rectangular tank. The crosssection of each hole is $0.01 \mathrm{~m}^{2}$ and the vertical distance between the holes is $1 \mathrm{~m}$. The tank is filled with water. The net force on the tank in newton when the water flows out of the holes is (Density of water $=1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

1 100
2 200
3 300
4 400
Mechanical Properties of Fluids

143448 A horizontal pipe of non-uniform cross-section allows water to flow through it with a velocity 1 $\mathrm{ms}^{-1}$ when pressure is $50 \mathrm{kPa}$ at a point. If the velocity of flow has to be $2 \mathrm{~ms}^{-1}$ at some other point, the pressure at that point should be

1 $50 \mathrm{kPa}$
2 $100 \mathrm{kPa}$
3 $48.5 \mathrm{kPa}$
4 $24.25 \mathrm{kPa}$
Mechanical Properties of Fluids

143450 An aircraft has a mass $4 \times 10^{5} \mathrm{~kg}$ with total wing area $500 \mathrm{~m}^{2}$ flying at a speed of $720 \mathrm{~km} / \mathrm{h}$. The density of air at its height is $1.2 \mathrm{~kg} / \mathrm{m}^{3}$. Estimate the fractional increase in air speed on the upper surface of its wing relative to lower surface.

1 0.04
2 0.08
3 0.17
4 0.32
Mechanical Properties of Fluids

143445 Radius of one arm of hydraulic lift is four times of radius of other arm. What force should be applied on narrow arm to lift $100 \mathrm{~kg}$.

1 $26.5 \mathrm{~N}$
2 $62.5 \mathrm{~N}$
3 $6.25 \mathrm{~N}$
4 $8.3 \mathrm{~N}$
Mechanical Properties of Fluids

143446 Tanks $A$ and $B$ open at the top contain two different liquids upto certain height in them. A hole is made to the wall of each tank at a depth $h$ from the surface of the liquid. The area of the hole in $B$ is twice that of in $A$. If the liquid mass flux through each hole is equal, then the ratio of the densities of the liquids respectively, is

1 2
2 $\frac{3}{2}$
3 $\frac{2}{3}$
4 $\frac{1}{2}$
Mechanical Properties of Fluids

143447 There are two holes one each along the opposite sides of a wide rectangular tank. The crosssection of each hole is $0.01 \mathrm{~m}^{2}$ and the vertical distance between the holes is $1 \mathrm{~m}$. The tank is filled with water. The net force on the tank in newton when the water flows out of the holes is (Density of water $=1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

1 100
2 200
3 300
4 400
Mechanical Properties of Fluids

143448 A horizontal pipe of non-uniform cross-section allows water to flow through it with a velocity 1 $\mathrm{ms}^{-1}$ when pressure is $50 \mathrm{kPa}$ at a point. If the velocity of flow has to be $2 \mathrm{~ms}^{-1}$ at some other point, the pressure at that point should be

1 $50 \mathrm{kPa}$
2 $100 \mathrm{kPa}$
3 $48.5 \mathrm{kPa}$
4 $24.25 \mathrm{kPa}$
Mechanical Properties of Fluids

143450 An aircraft has a mass $4 \times 10^{5} \mathrm{~kg}$ with total wing area $500 \mathrm{~m}^{2}$ flying at a speed of $720 \mathrm{~km} / \mathrm{h}$. The density of air at its height is $1.2 \mathrm{~kg} / \mathrm{m}^{3}$. Estimate the fractional increase in air speed on the upper surface of its wing relative to lower surface.

1 0.04
2 0.08
3 0.17
4 0.32
Mechanical Properties of Fluids

143445 Radius of one arm of hydraulic lift is four times of radius of other arm. What force should be applied on narrow arm to lift $100 \mathrm{~kg}$.

1 $26.5 \mathrm{~N}$
2 $62.5 \mathrm{~N}$
3 $6.25 \mathrm{~N}$
4 $8.3 \mathrm{~N}$
Mechanical Properties of Fluids

143446 Tanks $A$ and $B$ open at the top contain two different liquids upto certain height in them. A hole is made to the wall of each tank at a depth $h$ from the surface of the liquid. The area of the hole in $B$ is twice that of in $A$. If the liquid mass flux through each hole is equal, then the ratio of the densities of the liquids respectively, is

1 2
2 $\frac{3}{2}$
3 $\frac{2}{3}$
4 $\frac{1}{2}$
Mechanical Properties of Fluids

143447 There are two holes one each along the opposite sides of a wide rectangular tank. The crosssection of each hole is $0.01 \mathrm{~m}^{2}$ and the vertical distance between the holes is $1 \mathrm{~m}$. The tank is filled with water. The net force on the tank in newton when the water flows out of the holes is (Density of water $=1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

1 100
2 200
3 300
4 400
Mechanical Properties of Fluids

143448 A horizontal pipe of non-uniform cross-section allows water to flow through it with a velocity 1 $\mathrm{ms}^{-1}$ when pressure is $50 \mathrm{kPa}$ at a point. If the velocity of flow has to be $2 \mathrm{~ms}^{-1}$ at some other point, the pressure at that point should be

1 $50 \mathrm{kPa}$
2 $100 \mathrm{kPa}$
3 $48.5 \mathrm{kPa}$
4 $24.25 \mathrm{kPa}$
Mechanical Properties of Fluids

143450 An aircraft has a mass $4 \times 10^{5} \mathrm{~kg}$ with total wing area $500 \mathrm{~m}^{2}$ flying at a speed of $720 \mathrm{~km} / \mathrm{h}$. The density of air at its height is $1.2 \mathrm{~kg} / \mathrm{m}^{3}$. Estimate the fractional increase in air speed on the upper surface of its wing relative to lower surface.

1 0.04
2 0.08
3 0.17
4 0.32
Mechanical Properties of Fluids

143445 Radius of one arm of hydraulic lift is four times of radius of other arm. What force should be applied on narrow arm to lift $100 \mathrm{~kg}$.

1 $26.5 \mathrm{~N}$
2 $62.5 \mathrm{~N}$
3 $6.25 \mathrm{~N}$
4 $8.3 \mathrm{~N}$
Mechanical Properties of Fluids

143446 Tanks $A$ and $B$ open at the top contain two different liquids upto certain height in them. A hole is made to the wall of each tank at a depth $h$ from the surface of the liquid. The area of the hole in $B$ is twice that of in $A$. If the liquid mass flux through each hole is equal, then the ratio of the densities of the liquids respectively, is

1 2
2 $\frac{3}{2}$
3 $\frac{2}{3}$
4 $\frac{1}{2}$
Mechanical Properties of Fluids

143447 There are two holes one each along the opposite sides of a wide rectangular tank. The crosssection of each hole is $0.01 \mathrm{~m}^{2}$ and the vertical distance between the holes is $1 \mathrm{~m}$. The tank is filled with water. The net force on the tank in newton when the water flows out of the holes is (Density of water $=1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

1 100
2 200
3 300
4 400
Mechanical Properties of Fluids

143448 A horizontal pipe of non-uniform cross-section allows water to flow through it with a velocity 1 $\mathrm{ms}^{-1}$ when pressure is $50 \mathrm{kPa}$ at a point. If the velocity of flow has to be $2 \mathrm{~ms}^{-1}$ at some other point, the pressure at that point should be

1 $50 \mathrm{kPa}$
2 $100 \mathrm{kPa}$
3 $48.5 \mathrm{kPa}$
4 $24.25 \mathrm{kPa}$
Mechanical Properties of Fluids

143450 An aircraft has a mass $4 \times 10^{5} \mathrm{~kg}$ with total wing area $500 \mathrm{~m}^{2}$ flying at a speed of $720 \mathrm{~km} / \mathrm{h}$. The density of air at its height is $1.2 \mathrm{~kg} / \mathrm{m}^{3}$. Estimate the fractional increase in air speed on the upper surface of its wing relative to lower surface.

1 0.04
2 0.08
3 0.17
4 0.32
Mechanical Properties of Fluids

143445 Radius of one arm of hydraulic lift is four times of radius of other arm. What force should be applied on narrow arm to lift $100 \mathrm{~kg}$.

1 $26.5 \mathrm{~N}$
2 $62.5 \mathrm{~N}$
3 $6.25 \mathrm{~N}$
4 $8.3 \mathrm{~N}$
Mechanical Properties of Fluids

143446 Tanks $A$ and $B$ open at the top contain two different liquids upto certain height in them. A hole is made to the wall of each tank at a depth $h$ from the surface of the liquid. The area of the hole in $B$ is twice that of in $A$. If the liquid mass flux through each hole is equal, then the ratio of the densities of the liquids respectively, is

1 2
2 $\frac{3}{2}$
3 $\frac{2}{3}$
4 $\frac{1}{2}$
Mechanical Properties of Fluids

143447 There are two holes one each along the opposite sides of a wide rectangular tank. The crosssection of each hole is $0.01 \mathrm{~m}^{2}$ and the vertical distance between the holes is $1 \mathrm{~m}$. The tank is filled with water. The net force on the tank in newton when the water flows out of the holes is (Density of water $=1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

1 100
2 200
3 300
4 400
Mechanical Properties of Fluids

143448 A horizontal pipe of non-uniform cross-section allows water to flow through it with a velocity 1 $\mathrm{ms}^{-1}$ when pressure is $50 \mathrm{kPa}$ at a point. If the velocity of flow has to be $2 \mathrm{~ms}^{-1}$ at some other point, the pressure at that point should be

1 $50 \mathrm{kPa}$
2 $100 \mathrm{kPa}$
3 $48.5 \mathrm{kPa}$
4 $24.25 \mathrm{kPa}$
Mechanical Properties of Fluids

143450 An aircraft has a mass $4 \times 10^{5} \mathrm{~kg}$ with total wing area $500 \mathrm{~m}^{2}$ flying at a speed of $720 \mathrm{~km} / \mathrm{h}$. The density of air at its height is $1.2 \mathrm{~kg} / \mathrm{m}^{3}$. Estimate the fractional increase in air speed on the upper surface of its wing relative to lower surface.

1 0.04
2 0.08
3 0.17
4 0.32