08. Equation of Continuity
Mechanical Properties of Fluids

143369 An engine pumps out water continuously through a hose with a velocity v. If m is the mass per unit length of the water jet, the rate at which the kinetic energy is imparted to water is

1 12mv2
2 12mv3
3 12 m2v2
4 mv3
5 14mv3
Mechanical Properties of Fluids

143371 An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius 2R at point A and radius R at point B farther along the flow direction. If the velocity of the fluid at point A is V, its velocity at the point B will be

1 V/2
2 4 V
3 2 V
4 V
Mechanical Properties of Fluids

143372 A horizontal pipe of cross - sectional diameter 5 cm carries water at a velocity of 4 m/s. The pipe is connected to a smaller pipe with a crosssectional diameter 4 cm. The velocity of water through the smaller pipe is :

1 6.25 m/s
2 5.0 m/s
3 3.2 m/s
4 2.56 m/s
Mechanical Properties of Fluids

143373 A rain drop of radius r is falling through air starting from rest. The work done by all the forces on the drop, when it attains terminal velocity, is proportional to

1 r3
2 r7
3 r5
4 r4
Mechanical Properties of Fluids

143369 An engine pumps out water continuously through a hose with a velocity v. If m is the mass per unit length of the water jet, the rate at which the kinetic energy is imparted to water is

1 12mv2
2 12mv3
3 12 m2v2
4 mv3
5 14mv3
Mechanical Properties of Fluids

143370 Eight drops of a liquid of density ρ and each of radius a are falling through air with a constant velocity 3.75cms1. When the eight drops coalesce to form a single drop the terminal velocity of the new drop will be

1 1.5×102 ms1
2 2.4×102 ms1
3 0.75×102 ms1
4 25×102 ms1
5 15×102 ms1
Mechanical Properties of Fluids

143371 An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius 2R at point A and radius R at point B farther along the flow direction. If the velocity of the fluid at point A is V, its velocity at the point B will be

1 V/2
2 4 V
3 2 V
4 V
Mechanical Properties of Fluids

143372 A horizontal pipe of cross - sectional diameter 5 cm carries water at a velocity of 4 m/s. The pipe is connected to a smaller pipe with a crosssectional diameter 4 cm. The velocity of water through the smaller pipe is :

1 6.25 m/s
2 5.0 m/s
3 3.2 m/s
4 2.56 m/s
Mechanical Properties of Fluids

143373 A rain drop of radius r is falling through air starting from rest. The work done by all the forces on the drop, when it attains terminal velocity, is proportional to

1 r3
2 r7
3 r5
4 r4
Mechanical Properties of Fluids

143369 An engine pumps out water continuously through a hose with a velocity v. If m is the mass per unit length of the water jet, the rate at which the kinetic energy is imparted to water is

1 12mv2
2 12mv3
3 12 m2v2
4 mv3
5 14mv3
Mechanical Properties of Fluids

143370 Eight drops of a liquid of density ρ and each of radius a are falling through air with a constant velocity 3.75cms1. When the eight drops coalesce to form a single drop the terminal velocity of the new drop will be

1 1.5×102 ms1
2 2.4×102 ms1
3 0.75×102 ms1
4 25×102 ms1
5 15×102 ms1
Mechanical Properties of Fluids

143371 An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius 2R at point A and radius R at point B farther along the flow direction. If the velocity of the fluid at point A is V, its velocity at the point B will be

1 V/2
2 4 V
3 2 V
4 V
Mechanical Properties of Fluids

143372 A horizontal pipe of cross - sectional diameter 5 cm carries water at a velocity of 4 m/s. The pipe is connected to a smaller pipe with a crosssectional diameter 4 cm. The velocity of water through the smaller pipe is :

1 6.25 m/s
2 5.0 m/s
3 3.2 m/s
4 2.56 m/s
Mechanical Properties of Fluids

143373 A rain drop of radius r is falling through air starting from rest. The work done by all the forces on the drop, when it attains terminal velocity, is proportional to

1 r3
2 r7
3 r5
4 r4
Mechanical Properties of Fluids

143369 An engine pumps out water continuously through a hose with a velocity v. If m is the mass per unit length of the water jet, the rate at which the kinetic energy is imparted to water is

1 12mv2
2 12mv3
3 12 m2v2
4 mv3
5 14mv3
Mechanical Properties of Fluids

143370 Eight drops of a liquid of density ρ and each of radius a are falling through air with a constant velocity 3.75cms1. When the eight drops coalesce to form a single drop the terminal velocity of the new drop will be

1 1.5×102 ms1
2 2.4×102 ms1
3 0.75×102 ms1
4 25×102 ms1
5 15×102 ms1
Mechanical Properties of Fluids

143371 An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius 2R at point A and radius R at point B farther along the flow direction. If the velocity of the fluid at point A is V, its velocity at the point B will be

1 V/2
2 4 V
3 2 V
4 V
Mechanical Properties of Fluids

143372 A horizontal pipe of cross - sectional diameter 5 cm carries water at a velocity of 4 m/s. The pipe is connected to a smaller pipe with a crosssectional diameter 4 cm. The velocity of water through the smaller pipe is :

1 6.25 m/s
2 5.0 m/s
3 3.2 m/s
4 2.56 m/s
Mechanical Properties of Fluids

143373 A rain drop of radius r is falling through air starting from rest. The work done by all the forces on the drop, when it attains terminal velocity, is proportional to

1 r3
2 r7
3 r5
4 r4
Mechanical Properties of Fluids

143369 An engine pumps out water continuously through a hose with a velocity v. If m is the mass per unit length of the water jet, the rate at which the kinetic energy is imparted to water is

1 12mv2
2 12mv3
3 12 m2v2
4 mv3
5 14mv3
Mechanical Properties of Fluids

143370 Eight drops of a liquid of density ρ and each of radius a are falling through air with a constant velocity 3.75cms1. When the eight drops coalesce to form a single drop the terminal velocity of the new drop will be

1 1.5×102 ms1
2 2.4×102 ms1
3 0.75×102 ms1
4 25×102 ms1
5 15×102 ms1
Mechanical Properties of Fluids

143371 An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius 2R at point A and radius R at point B farther along the flow direction. If the velocity of the fluid at point A is V, its velocity at the point B will be

1 V/2
2 4 V
3 2 V
4 V
Mechanical Properties of Fluids

143372 A horizontal pipe of cross - sectional diameter 5 cm carries water at a velocity of 4 m/s. The pipe is connected to a smaller pipe with a crosssectional diameter 4 cm. The velocity of water through the smaller pipe is :

1 6.25 m/s
2 5.0 m/s
3 3.2 m/s
4 2.56 m/s
Mechanical Properties of Fluids

143373 A rain drop of radius r is falling through air starting from rest. The work done by all the forces on the drop, when it attains terminal velocity, is proportional to

1 r3
2 r7
3 r5
4 r4