00. Fluid Property (Pressure, Density), Viscosity
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Mechanical Properties of Fluids

142705 A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with uniform angular velocity $\omega$. The force exerted by the liquid at the other end is

1 $\mathrm{ML} \omega^{2}$
2 $\frac{3 \mathrm{ML} \omega^{2}}{4}$
3 $\frac{\mathrm{ML} \omega^{2}}{2}$
4 $\frac{\mathrm{ML} \omega^{2}}{4}$
Mechanical Properties of Fluids

142706 An ice cube of volume $\mathrm{Vm}^{3}$ and density 0.9 $\mathrm{gm} / \mathrm{cc}$, is floating in water. What is the minimum vertical downward force (in Newton) needed to be applied to totally immerse the ice cube into water?

1 $\mathrm{Vg}$
2 $10 \mathrm{Vg}$
3 $100 \mathrm{Vg}$
4 $0.1 \mathrm{Vg}$
Where $g$ in $\mathrm{m} / \mathrm{s}^{2}$
Mechanical Properties of Fluids

142707 Three liquids of equal masses are taken in three identical cubical vessels $A, B$ and $C$. Their densities are $\rho_{A}, \rho_{B}$ and $\rho_{C}$ respectively but $\rho_{A} \lt \rho_{B} \lt \rho_{C}$. The force exerted by the liquid on the base of the cubical vessel is :

1 maximum in vessel $\mathrm{C}$
2 minimum in vessel $\mathrm{C}$
3 the same in all the vessels
4 maximum in vessel $\mathrm{A}$
Mechanical Properties of Fluids

142709 Two small spheres of radii $r$ and $4 r$ fall through a viscous liquid with the same terminal velocity. The ratio between the viscous forces acting on them is

1 $1: 2$
2 $4: 1$
3 $1: 16$
4 $1: 4$
Mechanical Properties of Fluids

142705 A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with uniform angular velocity $\omega$. The force exerted by the liquid at the other end is

1 $\mathrm{ML} \omega^{2}$
2 $\frac{3 \mathrm{ML} \omega^{2}}{4}$
3 $\frac{\mathrm{ML} \omega^{2}}{2}$
4 $\frac{\mathrm{ML} \omega^{2}}{4}$
Mechanical Properties of Fluids

142706 An ice cube of volume $\mathrm{Vm}^{3}$ and density 0.9 $\mathrm{gm} / \mathrm{cc}$, is floating in water. What is the minimum vertical downward force (in Newton) needed to be applied to totally immerse the ice cube into water?

1 $\mathrm{Vg}$
2 $10 \mathrm{Vg}$
3 $100 \mathrm{Vg}$
4 $0.1 \mathrm{Vg}$
Where $g$ in $\mathrm{m} / \mathrm{s}^{2}$
Mechanical Properties of Fluids

142707 Three liquids of equal masses are taken in three identical cubical vessels $A, B$ and $C$. Their densities are $\rho_{A}, \rho_{B}$ and $\rho_{C}$ respectively but $\rho_{A} \lt \rho_{B} \lt \rho_{C}$. The force exerted by the liquid on the base of the cubical vessel is :

1 maximum in vessel $\mathrm{C}$
2 minimum in vessel $\mathrm{C}$
3 the same in all the vessels
4 maximum in vessel $\mathrm{A}$
Mechanical Properties of Fluids

142709 Two small spheres of radii $r$ and $4 r$ fall through a viscous liquid with the same terminal velocity. The ratio between the viscous forces acting on them is

1 $1: 2$
2 $4: 1$
3 $1: 16$
4 $1: 4$
Mechanical Properties of Fluids

142705 A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with uniform angular velocity $\omega$. The force exerted by the liquid at the other end is

1 $\mathrm{ML} \omega^{2}$
2 $\frac{3 \mathrm{ML} \omega^{2}}{4}$
3 $\frac{\mathrm{ML} \omega^{2}}{2}$
4 $\frac{\mathrm{ML} \omega^{2}}{4}$
Mechanical Properties of Fluids

142706 An ice cube of volume $\mathrm{Vm}^{3}$ and density 0.9 $\mathrm{gm} / \mathrm{cc}$, is floating in water. What is the minimum vertical downward force (in Newton) needed to be applied to totally immerse the ice cube into water?

1 $\mathrm{Vg}$
2 $10 \mathrm{Vg}$
3 $100 \mathrm{Vg}$
4 $0.1 \mathrm{Vg}$
Where $g$ in $\mathrm{m} / \mathrm{s}^{2}$
Mechanical Properties of Fluids

142707 Three liquids of equal masses are taken in three identical cubical vessels $A, B$ and $C$. Their densities are $\rho_{A}, \rho_{B}$ and $\rho_{C}$ respectively but $\rho_{A} \lt \rho_{B} \lt \rho_{C}$. The force exerted by the liquid on the base of the cubical vessel is :

1 maximum in vessel $\mathrm{C}$
2 minimum in vessel $\mathrm{C}$
3 the same in all the vessels
4 maximum in vessel $\mathrm{A}$
Mechanical Properties of Fluids

142709 Two small spheres of radii $r$ and $4 r$ fall through a viscous liquid with the same terminal velocity. The ratio between the viscous forces acting on them is

1 $1: 2$
2 $4: 1$
3 $1: 16$
4 $1: 4$
Mechanical Properties of Fluids

142705 A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with uniform angular velocity $\omega$. The force exerted by the liquid at the other end is

1 $\mathrm{ML} \omega^{2}$
2 $\frac{3 \mathrm{ML} \omega^{2}}{4}$
3 $\frac{\mathrm{ML} \omega^{2}}{2}$
4 $\frac{\mathrm{ML} \omega^{2}}{4}$
Mechanical Properties of Fluids

142706 An ice cube of volume $\mathrm{Vm}^{3}$ and density 0.9 $\mathrm{gm} / \mathrm{cc}$, is floating in water. What is the minimum vertical downward force (in Newton) needed to be applied to totally immerse the ice cube into water?

1 $\mathrm{Vg}$
2 $10 \mathrm{Vg}$
3 $100 \mathrm{Vg}$
4 $0.1 \mathrm{Vg}$
Where $g$ in $\mathrm{m} / \mathrm{s}^{2}$
Mechanical Properties of Fluids

142707 Three liquids of equal masses are taken in three identical cubical vessels $A, B$ and $C$. Their densities are $\rho_{A}, \rho_{B}$ and $\rho_{C}$ respectively but $\rho_{A} \lt \rho_{B} \lt \rho_{C}$. The force exerted by the liquid on the base of the cubical vessel is :

1 maximum in vessel $\mathrm{C}$
2 minimum in vessel $\mathrm{C}$
3 the same in all the vessels
4 maximum in vessel $\mathrm{A}$
Mechanical Properties of Fluids

142709 Two small spheres of radii $r$ and $4 r$ fall through a viscous liquid with the same terminal velocity. The ratio between the viscous forces acting on them is

1 $1: 2$
2 $4: 1$
3 $1: 16$
4 $1: 4$