06. Flow of Fluid
Mechanical Properties of Fluids

143213 Water from a hose pipe of radius $5 \mathrm{~cm}$ strikes a wall normally at a speed of $5 \mathrm{~ms}^{-1}$. The force exerted on the wall in Newton is

1 $13.5 \pi$
2 $6.25 \pi$
3 $62.5 \pi$
4 $27 \pi$
5 $125 \pi$
Mechanical Properties of Fluids

143214 A liquid is filled up to a height of $20 \mathrm{~cm}$ in a cylindrical vessel. The speed of liquid coming out of a small hole at the bottom of the vessel is (take, $g=10 \mathrm{~ms}^{-2}$ )

1 $1.2 \mathrm{~ms}^{-1}$
2 $1 \mathrm{~ms}^{-1}$
3 $2 \mathrm{~ms}^{-1}$
4 $3.2 \mathrm{~ms}^{-1}$
5 $1.4 \mathrm{~ms}^{-1}$
Mechanical Properties of Fluids

143215 A large open tank has two holes in its wall. One is a square hole of side ' $a$ ' at a depth of $x$ from the top and the other is a circular hole of radius $r$ at a depth $4 x$ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then $r$ is equal to

1 $2 \pi \mathrm{a}$
2 a
3 $\frac{\mathrm{a}}{2 \pi}$
4 $\frac{\mathrm{a}}{\pi}$
5 $\frac{\mathrm{a}}{\sqrt{2 \pi}}$
Mechanical Properties of Fluids

143216 A tank is filled with water of density $1 \mathrm{gcm}^{-3}$ and oil of density $0.9 \mathrm{~g} \mathrm{~cm}^{-3}$. The height of water layer is $100 \mathrm{~cm}$ and of the oil layer is $400 \mathrm{~cm}$. If $g=980 \mathrm{~cm} \mathrm{~s}^{-2}$, then the velocity of efflux from an opening in the bottom of the tank is

1 $\sqrt{920 \times 980} \mathrm{cms}^{-1}$
2 $\sqrt{900 \times 980} \mathrm{cms}^{-1}$
3 $\sqrt{1000 \times 980} \mathrm{cms}^{-1}$
4 $\sqrt{92 \times 980} \mathrm{cms}^{-1}$
Mechanical Properties of Fluids

143218 Bottom of a cylindrical vessel has a hole of area A. If water is filled up to a height $h$, it flows out in $t$ seconds. If water is filled to a height $4 h$, it will flow out in time

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

143213 Water from a hose pipe of radius $5 \mathrm{~cm}$ strikes a wall normally at a speed of $5 \mathrm{~ms}^{-1}$. The force exerted on the wall in Newton is

1 $13.5 \pi$
2 $6.25 \pi$
3 $62.5 \pi$
4 $27 \pi$
5 $125 \pi$
Mechanical Properties of Fluids

143214 A liquid is filled up to a height of $20 \mathrm{~cm}$ in a cylindrical vessel. The speed of liquid coming out of a small hole at the bottom of the vessel is (take, $g=10 \mathrm{~ms}^{-2}$ )

1 $1.2 \mathrm{~ms}^{-1}$
2 $1 \mathrm{~ms}^{-1}$
3 $2 \mathrm{~ms}^{-1}$
4 $3.2 \mathrm{~ms}^{-1}$
5 $1.4 \mathrm{~ms}^{-1}$
Mechanical Properties of Fluids

143215 A large open tank has two holes in its wall. One is a square hole of side ' $a$ ' at a depth of $x$ from the top and the other is a circular hole of radius $r$ at a depth $4 x$ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then $r$ is equal to

1 $2 \pi \mathrm{a}$
2 a
3 $\frac{\mathrm{a}}{2 \pi}$
4 $\frac{\mathrm{a}}{\pi}$
5 $\frac{\mathrm{a}}{\sqrt{2 \pi}}$
Mechanical Properties of Fluids

143216 A tank is filled with water of density $1 \mathrm{gcm}^{-3}$ and oil of density $0.9 \mathrm{~g} \mathrm{~cm}^{-3}$. The height of water layer is $100 \mathrm{~cm}$ and of the oil layer is $400 \mathrm{~cm}$. If $g=980 \mathrm{~cm} \mathrm{~s}^{-2}$, then the velocity of efflux from an opening in the bottom of the tank is

1 $\sqrt{920 \times 980} \mathrm{cms}^{-1}$
2 $\sqrt{900 \times 980} \mathrm{cms}^{-1}$
3 $\sqrt{1000 \times 980} \mathrm{cms}^{-1}$
4 $\sqrt{92 \times 980} \mathrm{cms}^{-1}$
Mechanical Properties of Fluids

143218 Bottom of a cylindrical vessel has a hole of area A. If water is filled up to a height $h$, it flows out in $t$ seconds. If water is filled to a height $4 h$, it will flow out in time

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

143213 Water from a hose pipe of radius $5 \mathrm{~cm}$ strikes a wall normally at a speed of $5 \mathrm{~ms}^{-1}$. The force exerted on the wall in Newton is

1 $13.5 \pi$
2 $6.25 \pi$
3 $62.5 \pi$
4 $27 \pi$
5 $125 \pi$
Mechanical Properties of Fluids

143214 A liquid is filled up to a height of $20 \mathrm{~cm}$ in a cylindrical vessel. The speed of liquid coming out of a small hole at the bottom of the vessel is (take, $g=10 \mathrm{~ms}^{-2}$ )

1 $1.2 \mathrm{~ms}^{-1}$
2 $1 \mathrm{~ms}^{-1}$
3 $2 \mathrm{~ms}^{-1}$
4 $3.2 \mathrm{~ms}^{-1}$
5 $1.4 \mathrm{~ms}^{-1}$
Mechanical Properties of Fluids

143215 A large open tank has two holes in its wall. One is a square hole of side ' $a$ ' at a depth of $x$ from the top and the other is a circular hole of radius $r$ at a depth $4 x$ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then $r$ is equal to

1 $2 \pi \mathrm{a}$
2 a
3 $\frac{\mathrm{a}}{2 \pi}$
4 $\frac{\mathrm{a}}{\pi}$
5 $\frac{\mathrm{a}}{\sqrt{2 \pi}}$
Mechanical Properties of Fluids

143216 A tank is filled with water of density $1 \mathrm{gcm}^{-3}$ and oil of density $0.9 \mathrm{~g} \mathrm{~cm}^{-3}$. The height of water layer is $100 \mathrm{~cm}$ and of the oil layer is $400 \mathrm{~cm}$. If $g=980 \mathrm{~cm} \mathrm{~s}^{-2}$, then the velocity of efflux from an opening in the bottom of the tank is

1 $\sqrt{920 \times 980} \mathrm{cms}^{-1}$
2 $\sqrt{900 \times 980} \mathrm{cms}^{-1}$
3 $\sqrt{1000 \times 980} \mathrm{cms}^{-1}$
4 $\sqrt{92 \times 980} \mathrm{cms}^{-1}$
Mechanical Properties of Fluids

143218 Bottom of a cylindrical vessel has a hole of area A. If water is filled up to a height $h$, it flows out in $t$ seconds. If water is filled to a height $4 h$, it will flow out in time

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

143213 Water from a hose pipe of radius $5 \mathrm{~cm}$ strikes a wall normally at a speed of $5 \mathrm{~ms}^{-1}$. The force exerted on the wall in Newton is

1 $13.5 \pi$
2 $6.25 \pi$
3 $62.5 \pi$
4 $27 \pi$
5 $125 \pi$
Mechanical Properties of Fluids

143214 A liquid is filled up to a height of $20 \mathrm{~cm}$ in a cylindrical vessel. The speed of liquid coming out of a small hole at the bottom of the vessel is (take, $g=10 \mathrm{~ms}^{-2}$ )

1 $1.2 \mathrm{~ms}^{-1}$
2 $1 \mathrm{~ms}^{-1}$
3 $2 \mathrm{~ms}^{-1}$
4 $3.2 \mathrm{~ms}^{-1}$
5 $1.4 \mathrm{~ms}^{-1}$
Mechanical Properties of Fluids

143215 A large open tank has two holes in its wall. One is a square hole of side ' $a$ ' at a depth of $x$ from the top and the other is a circular hole of radius $r$ at a depth $4 x$ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then $r$ is equal to

1 $2 \pi \mathrm{a}$
2 a
3 $\frac{\mathrm{a}}{2 \pi}$
4 $\frac{\mathrm{a}}{\pi}$
5 $\frac{\mathrm{a}}{\sqrt{2 \pi}}$
Mechanical Properties of Fluids

143216 A tank is filled with water of density $1 \mathrm{gcm}^{-3}$ and oil of density $0.9 \mathrm{~g} \mathrm{~cm}^{-3}$. The height of water layer is $100 \mathrm{~cm}$ and of the oil layer is $400 \mathrm{~cm}$. If $g=980 \mathrm{~cm} \mathrm{~s}^{-2}$, then the velocity of efflux from an opening in the bottom of the tank is

1 $\sqrt{920 \times 980} \mathrm{cms}^{-1}$
2 $\sqrt{900 \times 980} \mathrm{cms}^{-1}$
3 $\sqrt{1000 \times 980} \mathrm{cms}^{-1}$
4 $\sqrt{92 \times 980} \mathrm{cms}^{-1}$
Mechanical Properties of Fluids

143218 Bottom of a cylindrical vessel has a hole of area A. If water is filled up to a height $h$, it flows out in $t$ seconds. If water is filled to a height $4 h$, it will flow out in time

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

143213 Water from a hose pipe of radius $5 \mathrm{~cm}$ strikes a wall normally at a speed of $5 \mathrm{~ms}^{-1}$. The force exerted on the wall in Newton is

1 $13.5 \pi$
2 $6.25 \pi$
3 $62.5 \pi$
4 $27 \pi$
5 $125 \pi$
Mechanical Properties of Fluids

143214 A liquid is filled up to a height of $20 \mathrm{~cm}$ in a cylindrical vessel. The speed of liquid coming out of a small hole at the bottom of the vessel is (take, $g=10 \mathrm{~ms}^{-2}$ )

1 $1.2 \mathrm{~ms}^{-1}$
2 $1 \mathrm{~ms}^{-1}$
3 $2 \mathrm{~ms}^{-1}$
4 $3.2 \mathrm{~ms}^{-1}$
5 $1.4 \mathrm{~ms}^{-1}$
Mechanical Properties of Fluids

143215 A large open tank has two holes in its wall. One is a square hole of side ' $a$ ' at a depth of $x$ from the top and the other is a circular hole of radius $r$ at a depth $4 x$ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then $r$ is equal to

1 $2 \pi \mathrm{a}$
2 a
3 $\frac{\mathrm{a}}{2 \pi}$
4 $\frac{\mathrm{a}}{\pi}$
5 $\frac{\mathrm{a}}{\sqrt{2 \pi}}$
Mechanical Properties of Fluids

143216 A tank is filled with water of density $1 \mathrm{gcm}^{-3}$ and oil of density $0.9 \mathrm{~g} \mathrm{~cm}^{-3}$. The height of water layer is $100 \mathrm{~cm}$ and of the oil layer is $400 \mathrm{~cm}$. If $g=980 \mathrm{~cm} \mathrm{~s}^{-2}$, then the velocity of efflux from an opening in the bottom of the tank is

1 $\sqrt{920 \times 980} \mathrm{cms}^{-1}$
2 $\sqrt{900 \times 980} \mathrm{cms}^{-1}$
3 $\sqrt{1000 \times 980} \mathrm{cms}^{-1}$
4 $\sqrt{92 \times 980} \mathrm{cms}^{-1}$
Mechanical Properties of Fluids

143218 Bottom of a cylindrical vessel has a hole of area A. If water is filled up to a height $h$, it flows out in $t$ seconds. If water is filled to a height $4 h$, it will flow out in time

1 $\mathrm{t}$
2 $4 \mathrm{t}$
3 $2 \mathrm{t}$
4 $\frac{\mathrm{t}}{4}$