06. Flow of Fluid
Mechanical Properties of Fluids

143219 A motor pump a liquid of density $\rho$ through a pipe of cross-sectional area $A$. If the liquid moves with a speed $v$ in this pipe, then the rate of kinetic energy imparted to the liquid is proportional to

1 $\mathrm{v}^{2}$
2 $\mathrm{v}^{3}$
3 $\mathrm{v}^{4}$
4 $\sqrt{\mathrm{V}}$
Mechanical Properties of Fluids

143220 A cylindrical tank has a hole of area $2 \mathrm{~cm}^{2}$ at its bottom. If water is poured into the tank from a tube above it at the rate of $100 \mathrm{~cm}^{3} \mathrm{~s}^{-1}$, then the maximum height up to which water can rise in the tank is
(Acceleration due to gravity, $g=10 \mathrm{~ms}^{-2}$ )

1 $2.5 \mathrm{~cm}$
2 $1.25 \mathrm{~cm}$
3 $5.5 \mathrm{~cm}$
4 $3.5 \mathrm{~cm}$
Mechanical Properties of Fluids

143221 A motor engine pumps $1800 \mathrm{~L}$ of water per minute from a well of depth $30 \mathrm{~m}$ and allows to pass through a pipe of cross-sectional area 30 $\mathrm{cm}^{2}$. Then the power of the engine is (Acceleration due to gravity, $g=10 \mathrm{~ms}^{-2}$ )

1 $20.5 \mathrm{~kW}$
2 $15.5 \mathrm{~kW}$
3 $10.5 \mathrm{~kW}$
4 $9.5 \mathrm{~kW}$
Mechanical Properties of Fluids

143222 A cylindrical vessel filled with water is released on an inclined surface of angle $\theta$ as shown in figure. The friction coefficient of surface with vessel is $\mu( \lt \tan \theta)$. Then the contact angle made by the surface of water with the incline will be-

1 $\tan ^{-1} \mu$
2 $\theta-\tan ^{-1} \mu$
3 $\theta+\tan ^{-1} \mu$
4 $\cot ^{-1} \mu$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Fluids

143219 A motor pump a liquid of density $\rho$ through a pipe of cross-sectional area $A$. If the liquid moves with a speed $v$ in this pipe, then the rate of kinetic energy imparted to the liquid is proportional to

1 $\mathrm{v}^{2}$
2 $\mathrm{v}^{3}$
3 $\mathrm{v}^{4}$
4 $\sqrt{\mathrm{V}}$
Mechanical Properties of Fluids

143220 A cylindrical tank has a hole of area $2 \mathrm{~cm}^{2}$ at its bottom. If water is poured into the tank from a tube above it at the rate of $100 \mathrm{~cm}^{3} \mathrm{~s}^{-1}$, then the maximum height up to which water can rise in the tank is
(Acceleration due to gravity, $g=10 \mathrm{~ms}^{-2}$ )

1 $2.5 \mathrm{~cm}$
2 $1.25 \mathrm{~cm}$
3 $5.5 \mathrm{~cm}$
4 $3.5 \mathrm{~cm}$
Mechanical Properties of Fluids

143221 A motor engine pumps $1800 \mathrm{~L}$ of water per minute from a well of depth $30 \mathrm{~m}$ and allows to pass through a pipe of cross-sectional area 30 $\mathrm{cm}^{2}$. Then the power of the engine is (Acceleration due to gravity, $g=10 \mathrm{~ms}^{-2}$ )

1 $20.5 \mathrm{~kW}$
2 $15.5 \mathrm{~kW}$
3 $10.5 \mathrm{~kW}$
4 $9.5 \mathrm{~kW}$
Mechanical Properties of Fluids

143222 A cylindrical vessel filled with water is released on an inclined surface of angle $\theta$ as shown in figure. The friction coefficient of surface with vessel is $\mu( \lt \tan \theta)$. Then the contact angle made by the surface of water with the incline will be-

1 $\tan ^{-1} \mu$
2 $\theta-\tan ^{-1} \mu$
3 $\theta+\tan ^{-1} \mu$
4 $\cot ^{-1} \mu$
Mechanical Properties of Fluids

143219 A motor pump a liquid of density $\rho$ through a pipe of cross-sectional area $A$. If the liquid moves with a speed $v$ in this pipe, then the rate of kinetic energy imparted to the liquid is proportional to

1 $\mathrm{v}^{2}$
2 $\mathrm{v}^{3}$
3 $\mathrm{v}^{4}$
4 $\sqrt{\mathrm{V}}$
Mechanical Properties of Fluids

143220 A cylindrical tank has a hole of area $2 \mathrm{~cm}^{2}$ at its bottom. If water is poured into the tank from a tube above it at the rate of $100 \mathrm{~cm}^{3} \mathrm{~s}^{-1}$, then the maximum height up to which water can rise in the tank is
(Acceleration due to gravity, $g=10 \mathrm{~ms}^{-2}$ )

1 $2.5 \mathrm{~cm}$
2 $1.25 \mathrm{~cm}$
3 $5.5 \mathrm{~cm}$
4 $3.5 \mathrm{~cm}$
Mechanical Properties of Fluids

143221 A motor engine pumps $1800 \mathrm{~L}$ of water per minute from a well of depth $30 \mathrm{~m}$ and allows to pass through a pipe of cross-sectional area 30 $\mathrm{cm}^{2}$. Then the power of the engine is (Acceleration due to gravity, $g=10 \mathrm{~ms}^{-2}$ )

1 $20.5 \mathrm{~kW}$
2 $15.5 \mathrm{~kW}$
3 $10.5 \mathrm{~kW}$
4 $9.5 \mathrm{~kW}$
Mechanical Properties of Fluids

143222 A cylindrical vessel filled with water is released on an inclined surface of angle $\theta$ as shown in figure. The friction coefficient of surface with vessel is $\mu( \lt \tan \theta)$. Then the contact angle made by the surface of water with the incline will be-

1 $\tan ^{-1} \mu$
2 $\theta-\tan ^{-1} \mu$
3 $\theta+\tan ^{-1} \mu$
4 $\cot ^{-1} \mu$
Mechanical Properties of Fluids

143219 A motor pump a liquid of density $\rho$ through a pipe of cross-sectional area $A$. If the liquid moves with a speed $v$ in this pipe, then the rate of kinetic energy imparted to the liquid is proportional to

1 $\mathrm{v}^{2}$
2 $\mathrm{v}^{3}$
3 $\mathrm{v}^{4}$
4 $\sqrt{\mathrm{V}}$
Mechanical Properties of Fluids

143220 A cylindrical tank has a hole of area $2 \mathrm{~cm}^{2}$ at its bottom. If water is poured into the tank from a tube above it at the rate of $100 \mathrm{~cm}^{3} \mathrm{~s}^{-1}$, then the maximum height up to which water can rise in the tank is
(Acceleration due to gravity, $g=10 \mathrm{~ms}^{-2}$ )

1 $2.5 \mathrm{~cm}$
2 $1.25 \mathrm{~cm}$
3 $5.5 \mathrm{~cm}$
4 $3.5 \mathrm{~cm}$
Mechanical Properties of Fluids

143221 A motor engine pumps $1800 \mathrm{~L}$ of water per minute from a well of depth $30 \mathrm{~m}$ and allows to pass through a pipe of cross-sectional area 30 $\mathrm{cm}^{2}$. Then the power of the engine is (Acceleration due to gravity, $g=10 \mathrm{~ms}^{-2}$ )

1 $20.5 \mathrm{~kW}$
2 $15.5 \mathrm{~kW}$
3 $10.5 \mathrm{~kW}$
4 $9.5 \mathrm{~kW}$
Mechanical Properties of Fluids

143222 A cylindrical vessel filled with water is released on an inclined surface of angle $\theta$ as shown in figure. The friction coefficient of surface with vessel is $\mu( \lt \tan \theta)$. Then the contact angle made by the surface of water with the incline will be-

1 $\tan ^{-1} \mu$
2 $\theta-\tan ^{-1} \mu$
3 $\theta+\tan ^{-1} \mu$
4 $\cot ^{-1} \mu$