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

142735 A $U$ tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of $10 \mathrm{~mm}$ above the water level on the other side Meanwhile the water rises by $65 \mathrm{~mm}$ from its original level (see diagram). The density of the oil is

1 $650 \mathrm{~kg} \mathrm{~m}^{-3}$
2 $425 \mathrm{~kg} \mathrm{~m}^{-3}$
3 $800 \mathrm{~kg} \mathrm{~m}^{-3}$
4 $928 \mathrm{~kg} \mathrm{~m}^{-3}$
Mechanical Properties of Fluids

142736 Two non-mixing liquids of densities $\rho$ and $n \rho$ $(n>1)$ are put in a container. The height of each liquid is $h$. A solid cylinder of length $L$ and density $d$ is put in this container. The cylinder floats with its axis vertical and length pL $(p \lt 1)$ in the denser liquid. The density $d$ is equal to

1 $\{2+(n+1) p\} \rho$
2 $\{2+(n-1) p\} \rho$
3 $\{1+(\mathrm{n}-1) \mathrm{p}\} \rho$
4 $\{1+(n+1) p\} \rho$
Mechanical Properties of Fluids

142737 The approximate depth of an ocean is $2700 \mathrm{~m}$. The compressibility of water is $45.4 \times 10^{-11} \mathrm{~Pa}^{-\mathrm{i}}$ and density of water is $10^{3} \mathrm{~kg} / \mathrm{m}^{3}$. What fractional compression of water will be obtained at the bottom of the ocean?

1 $0.8 \times 10^{-2}$
2 $1.0 \times 10^{-2}$
3 $1.2 \times 10^{-2}$
4 $1.4 \times 10^{-2}$
Mechanical Properties of Fluids

142738 The velocity of a small ball of mass $M$ and density $d$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $d / 2$, then the viscous force acting on the ball will be

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

142735 A $U$ tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of $10 \mathrm{~mm}$ above the water level on the other side Meanwhile the water rises by $65 \mathrm{~mm}$ from its original level (see diagram). The density of the oil is

1 $650 \mathrm{~kg} \mathrm{~m}^{-3}$
2 $425 \mathrm{~kg} \mathrm{~m}^{-3}$
3 $800 \mathrm{~kg} \mathrm{~m}^{-3}$
4 $928 \mathrm{~kg} \mathrm{~m}^{-3}$
Mechanical Properties of Fluids

142736 Two non-mixing liquids of densities $\rho$ and $n \rho$ $(n>1)$ are put in a container. The height of each liquid is $h$. A solid cylinder of length $L$ and density $d$ is put in this container. The cylinder floats with its axis vertical and length pL $(p \lt 1)$ in the denser liquid. The density $d$ is equal to

1 $\{2+(n+1) p\} \rho$
2 $\{2+(n-1) p\} \rho$
3 $\{1+(\mathrm{n}-1) \mathrm{p}\} \rho$
4 $\{1+(n+1) p\} \rho$
Mechanical Properties of Fluids

142737 The approximate depth of an ocean is $2700 \mathrm{~m}$. The compressibility of water is $45.4 \times 10^{-11} \mathrm{~Pa}^{-\mathrm{i}}$ and density of water is $10^{3} \mathrm{~kg} / \mathrm{m}^{3}$. What fractional compression of water will be obtained at the bottom of the ocean?

1 $0.8 \times 10^{-2}$
2 $1.0 \times 10^{-2}$
3 $1.2 \times 10^{-2}$
4 $1.4 \times 10^{-2}$
Mechanical Properties of Fluids

142738 The velocity of a small ball of mass $M$ and density $d$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $d / 2$, then the viscous force acting on the ball will be

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

142735 A $U$ tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of $10 \mathrm{~mm}$ above the water level on the other side Meanwhile the water rises by $65 \mathrm{~mm}$ from its original level (see diagram). The density of the oil is

1 $650 \mathrm{~kg} \mathrm{~m}^{-3}$
2 $425 \mathrm{~kg} \mathrm{~m}^{-3}$
3 $800 \mathrm{~kg} \mathrm{~m}^{-3}$
4 $928 \mathrm{~kg} \mathrm{~m}^{-3}$
Mechanical Properties of Fluids

142736 Two non-mixing liquids of densities $\rho$ and $n \rho$ $(n>1)$ are put in a container. The height of each liquid is $h$. A solid cylinder of length $L$ and density $d$ is put in this container. The cylinder floats with its axis vertical and length pL $(p \lt 1)$ in the denser liquid. The density $d$ is equal to

1 $\{2+(n+1) p\} \rho$
2 $\{2+(n-1) p\} \rho$
3 $\{1+(\mathrm{n}-1) \mathrm{p}\} \rho$
4 $\{1+(n+1) p\} \rho$
Mechanical Properties of Fluids

142737 The approximate depth of an ocean is $2700 \mathrm{~m}$. The compressibility of water is $45.4 \times 10^{-11} \mathrm{~Pa}^{-\mathrm{i}}$ and density of water is $10^{3} \mathrm{~kg} / \mathrm{m}^{3}$. What fractional compression of water will be obtained at the bottom of the ocean?

1 $0.8 \times 10^{-2}$
2 $1.0 \times 10^{-2}$
3 $1.2 \times 10^{-2}$
4 $1.4 \times 10^{-2}$
Mechanical Properties of Fluids

142738 The velocity of a small ball of mass $M$ and density $d$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $d / 2$, then the viscous force acting on the ball will be

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

142735 A $U$ tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of $10 \mathrm{~mm}$ above the water level on the other side Meanwhile the water rises by $65 \mathrm{~mm}$ from its original level (see diagram). The density of the oil is

1 $650 \mathrm{~kg} \mathrm{~m}^{-3}$
2 $425 \mathrm{~kg} \mathrm{~m}^{-3}$
3 $800 \mathrm{~kg} \mathrm{~m}^{-3}$
4 $928 \mathrm{~kg} \mathrm{~m}^{-3}$
Mechanical Properties of Fluids

142736 Two non-mixing liquids of densities $\rho$ and $n \rho$ $(n>1)$ are put in a container. The height of each liquid is $h$. A solid cylinder of length $L$ and density $d$ is put in this container. The cylinder floats with its axis vertical and length pL $(p \lt 1)$ in the denser liquid. The density $d$ is equal to

1 $\{2+(n+1) p\} \rho$
2 $\{2+(n-1) p\} \rho$
3 $\{1+(\mathrm{n}-1) \mathrm{p}\} \rho$
4 $\{1+(n+1) p\} \rho$
Mechanical Properties of Fluids

142737 The approximate depth of an ocean is $2700 \mathrm{~m}$. The compressibility of water is $45.4 \times 10^{-11} \mathrm{~Pa}^{-\mathrm{i}}$ and density of water is $10^{3} \mathrm{~kg} / \mathrm{m}^{3}$. What fractional compression of water will be obtained at the bottom of the ocean?

1 $0.8 \times 10^{-2}$
2 $1.0 \times 10^{-2}$
3 $1.2 \times 10^{-2}$
4 $1.4 \times 10^{-2}$
Mechanical Properties of Fluids

142738 The velocity of a small ball of mass $M$ and density $d$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $d / 2$, then the viscous force acting on the ball will be

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