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

142699 The density of water at the surface of ocean is $\rho$. If the bulk modulus of water is $B$, what is the density of ocean water at a depth where the pressure is $n p_{0}$, where $\mathrm{p}_{0}$ is the atmospheric pressure?

1 $\frac{\rho B}{B-(n-1) p_{0}}$
2 $\frac{\rho B}{B+(n-1) p_{0}}$
3 $\frac{\rho B}{\mathrm{~B}-\mathrm{np}_{0}}$
4 $\frac{\rho B}{B+n p_{0}}$
Mechanical Properties of Fluids

142701 A rain drop of radius $0.3 \mathrm{~mm}$ has a terminal velocity of $1 \mathrm{~m} / \mathrm{s}$ and the viscosity of air is $18 \times 10^{-5}$ poise. The viscous force on the drop is:

1 $16.95 \times 10^{-9} \mathrm{~N}$
2 $1.695 \times 10^{-9} \mathrm{~N}$
3 $10.17 \times 10^{-9} \mathrm{~N}$
4 $101.74 \times 10^{-9} \mathrm{~N}$
Mechanical Properties of Fluids

142702 A small metal sphere of mass ' $M$ ' and density ' $d_{1}$ ', when dropped in a jar filled with liquid moves with terminal velocity after some time. The viscous force acting on the sphere is $\left(d_{2}=\right.$ density of liquid, $g=$ gravitational acceleration)

1 $\operatorname{Mg}\left(\frac{d_{2}}{d_{1}}\right)$
2 $\operatorname{Mg}\left(1-\frac{\mathrm{d}_{2}}{\mathrm{~d}_{1}}\right)$
3 $\operatorname{Mg}\left(\frac{\mathrm{d}_{1}}{\mathrm{~d}_{2}}\right)$
4 $\operatorname{Mg}\left(1-\frac{\mathrm{d}_{1}}{\mathrm{~d}_{2}}\right)$
Mechanical Properties of Fluids

142703 The velocity of water in a river is $18 \mathrm{~km} / \mathrm{hr}$ near the surface. If the river is $\mathbf{5} \mathbf{~ m}$ deep, find the shearing stress between the horizontal layers of water. The co- efficient of viscosity of water $=10^{-2}$ poise.

1 $10^{-1} \mathrm{~N} / \mathrm{m}^{2}$
2 $10^{-2} \mathrm{~N} / \mathrm{m}^{2}$
3 $10^{-3} \mathrm{~N} / \mathrm{m}^{2}$
4 $10^{-4} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Fluids

142704 A lead shot of $1 \mathrm{~mm}$ diameter falls through a long column of glycerin. The variation of the velocity with distance covered (s) is correctly represented by

1 a
2 b
3 c
4 d
Mechanical Properties of Fluids

142699 The density of water at the surface of ocean is $\rho$. If the bulk modulus of water is $B$, what is the density of ocean water at a depth where the pressure is $n p_{0}$, where $\mathrm{p}_{0}$ is the atmospheric pressure?

1 $\frac{\rho B}{B-(n-1) p_{0}}$
2 $\frac{\rho B}{B+(n-1) p_{0}}$
3 $\frac{\rho B}{\mathrm{~B}-\mathrm{np}_{0}}$
4 $\frac{\rho B}{B+n p_{0}}$
Mechanical Properties of Fluids

142701 A rain drop of radius $0.3 \mathrm{~mm}$ has a terminal velocity of $1 \mathrm{~m} / \mathrm{s}$ and the viscosity of air is $18 \times 10^{-5}$ poise. The viscous force on the drop is:

1 $16.95 \times 10^{-9} \mathrm{~N}$
2 $1.695 \times 10^{-9} \mathrm{~N}$
3 $10.17 \times 10^{-9} \mathrm{~N}$
4 $101.74 \times 10^{-9} \mathrm{~N}$
Mechanical Properties of Fluids

142702 A small metal sphere of mass ' $M$ ' and density ' $d_{1}$ ', when dropped in a jar filled with liquid moves with terminal velocity after some time. The viscous force acting on the sphere is $\left(d_{2}=\right.$ density of liquid, $g=$ gravitational acceleration)

1 $\operatorname{Mg}\left(\frac{d_{2}}{d_{1}}\right)$
2 $\operatorname{Mg}\left(1-\frac{\mathrm{d}_{2}}{\mathrm{~d}_{1}}\right)$
3 $\operatorname{Mg}\left(\frac{\mathrm{d}_{1}}{\mathrm{~d}_{2}}\right)$
4 $\operatorname{Mg}\left(1-\frac{\mathrm{d}_{1}}{\mathrm{~d}_{2}}\right)$
Mechanical Properties of Fluids

142703 The velocity of water in a river is $18 \mathrm{~km} / \mathrm{hr}$ near the surface. If the river is $\mathbf{5} \mathbf{~ m}$ deep, find the shearing stress between the horizontal layers of water. The co- efficient of viscosity of water $=10^{-2}$ poise.

1 $10^{-1} \mathrm{~N} / \mathrm{m}^{2}$
2 $10^{-2} \mathrm{~N} / \mathrm{m}^{2}$
3 $10^{-3} \mathrm{~N} / \mathrm{m}^{2}$
4 $10^{-4} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Fluids

142704 A lead shot of $1 \mathrm{~mm}$ diameter falls through a long column of glycerin. The variation of the velocity with distance covered (s) is correctly represented by

1 a
2 b
3 c
4 d
Mechanical Properties of Fluids

142699 The density of water at the surface of ocean is $\rho$. If the bulk modulus of water is $B$, what is the density of ocean water at a depth where the pressure is $n p_{0}$, where $\mathrm{p}_{0}$ is the atmospheric pressure?

1 $\frac{\rho B}{B-(n-1) p_{0}}$
2 $\frac{\rho B}{B+(n-1) p_{0}}$
3 $\frac{\rho B}{\mathrm{~B}-\mathrm{np}_{0}}$
4 $\frac{\rho B}{B+n p_{0}}$
Mechanical Properties of Fluids

142701 A rain drop of radius $0.3 \mathrm{~mm}$ has a terminal velocity of $1 \mathrm{~m} / \mathrm{s}$ and the viscosity of air is $18 \times 10^{-5}$ poise. The viscous force on the drop is:

1 $16.95 \times 10^{-9} \mathrm{~N}$
2 $1.695 \times 10^{-9} \mathrm{~N}$
3 $10.17 \times 10^{-9} \mathrm{~N}$
4 $101.74 \times 10^{-9} \mathrm{~N}$
Mechanical Properties of Fluids

142702 A small metal sphere of mass ' $M$ ' and density ' $d_{1}$ ', when dropped in a jar filled with liquid moves with terminal velocity after some time. The viscous force acting on the sphere is $\left(d_{2}=\right.$ density of liquid, $g=$ gravitational acceleration)

1 $\operatorname{Mg}\left(\frac{d_{2}}{d_{1}}\right)$
2 $\operatorname{Mg}\left(1-\frac{\mathrm{d}_{2}}{\mathrm{~d}_{1}}\right)$
3 $\operatorname{Mg}\left(\frac{\mathrm{d}_{1}}{\mathrm{~d}_{2}}\right)$
4 $\operatorname{Mg}\left(1-\frac{\mathrm{d}_{1}}{\mathrm{~d}_{2}}\right)$
Mechanical Properties of Fluids

142703 The velocity of water in a river is $18 \mathrm{~km} / \mathrm{hr}$ near the surface. If the river is $\mathbf{5} \mathbf{~ m}$ deep, find the shearing stress between the horizontal layers of water. The co- efficient of viscosity of water $=10^{-2}$ poise.

1 $10^{-1} \mathrm{~N} / \mathrm{m}^{2}$
2 $10^{-2} \mathrm{~N} / \mathrm{m}^{2}$
3 $10^{-3} \mathrm{~N} / \mathrm{m}^{2}$
4 $10^{-4} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Fluids

142704 A lead shot of $1 \mathrm{~mm}$ diameter falls through a long column of glycerin. The variation of the velocity with distance covered (s) is correctly represented by

1 a
2 b
3 c
4 d
Mechanical Properties of Fluids

142699 The density of water at the surface of ocean is $\rho$. If the bulk modulus of water is $B$, what is the density of ocean water at a depth where the pressure is $n p_{0}$, where $\mathrm{p}_{0}$ is the atmospheric pressure?

1 $\frac{\rho B}{B-(n-1) p_{0}}$
2 $\frac{\rho B}{B+(n-1) p_{0}}$
3 $\frac{\rho B}{\mathrm{~B}-\mathrm{np}_{0}}$
4 $\frac{\rho B}{B+n p_{0}}$
Mechanical Properties of Fluids

142701 A rain drop of radius $0.3 \mathrm{~mm}$ has a terminal velocity of $1 \mathrm{~m} / \mathrm{s}$ and the viscosity of air is $18 \times 10^{-5}$ poise. The viscous force on the drop is:

1 $16.95 \times 10^{-9} \mathrm{~N}$
2 $1.695 \times 10^{-9} \mathrm{~N}$
3 $10.17 \times 10^{-9} \mathrm{~N}$
4 $101.74 \times 10^{-9} \mathrm{~N}$
Mechanical Properties of Fluids

142702 A small metal sphere of mass ' $M$ ' and density ' $d_{1}$ ', when dropped in a jar filled with liquid moves with terminal velocity after some time. The viscous force acting on the sphere is $\left(d_{2}=\right.$ density of liquid, $g=$ gravitational acceleration)

1 $\operatorname{Mg}\left(\frac{d_{2}}{d_{1}}\right)$
2 $\operatorname{Mg}\left(1-\frac{\mathrm{d}_{2}}{\mathrm{~d}_{1}}\right)$
3 $\operatorname{Mg}\left(\frac{\mathrm{d}_{1}}{\mathrm{~d}_{2}}\right)$
4 $\operatorname{Mg}\left(1-\frac{\mathrm{d}_{1}}{\mathrm{~d}_{2}}\right)$
Mechanical Properties of Fluids

142703 The velocity of water in a river is $18 \mathrm{~km} / \mathrm{hr}$ near the surface. If the river is $\mathbf{5} \mathbf{~ m}$ deep, find the shearing stress between the horizontal layers of water. The co- efficient of viscosity of water $=10^{-2}$ poise.

1 $10^{-1} \mathrm{~N} / \mathrm{m}^{2}$
2 $10^{-2} \mathrm{~N} / \mathrm{m}^{2}$
3 $10^{-3} \mathrm{~N} / \mathrm{m}^{2}$
4 $10^{-4} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Fluids

142704 A lead shot of $1 \mathrm{~mm}$ diameter falls through a long column of glycerin. The variation of the velocity with distance covered (s) is correctly represented by

1 a
2 b
3 c
4 d
Mechanical Properties of Fluids

142699 The density of water at the surface of ocean is $\rho$. If the bulk modulus of water is $B$, what is the density of ocean water at a depth where the pressure is $n p_{0}$, where $\mathrm{p}_{0}$ is the atmospheric pressure?

1 $\frac{\rho B}{B-(n-1) p_{0}}$
2 $\frac{\rho B}{B+(n-1) p_{0}}$
3 $\frac{\rho B}{\mathrm{~B}-\mathrm{np}_{0}}$
4 $\frac{\rho B}{B+n p_{0}}$
Mechanical Properties of Fluids

142701 A rain drop of radius $0.3 \mathrm{~mm}$ has a terminal velocity of $1 \mathrm{~m} / \mathrm{s}$ and the viscosity of air is $18 \times 10^{-5}$ poise. The viscous force on the drop is:

1 $16.95 \times 10^{-9} \mathrm{~N}$
2 $1.695 \times 10^{-9} \mathrm{~N}$
3 $10.17 \times 10^{-9} \mathrm{~N}$
4 $101.74 \times 10^{-9} \mathrm{~N}$
Mechanical Properties of Fluids

142702 A small metal sphere of mass ' $M$ ' and density ' $d_{1}$ ', when dropped in a jar filled with liquid moves with terminal velocity after some time. The viscous force acting on the sphere is $\left(d_{2}=\right.$ density of liquid, $g=$ gravitational acceleration)

1 $\operatorname{Mg}\left(\frac{d_{2}}{d_{1}}\right)$
2 $\operatorname{Mg}\left(1-\frac{\mathrm{d}_{2}}{\mathrm{~d}_{1}}\right)$
3 $\operatorname{Mg}\left(\frac{\mathrm{d}_{1}}{\mathrm{~d}_{2}}\right)$
4 $\operatorname{Mg}\left(1-\frac{\mathrm{d}_{1}}{\mathrm{~d}_{2}}\right)$
Mechanical Properties of Fluids

142703 The velocity of water in a river is $18 \mathrm{~km} / \mathrm{hr}$ near the surface. If the river is $\mathbf{5} \mathbf{~ m}$ deep, find the shearing stress between the horizontal layers of water. The co- efficient of viscosity of water $=10^{-2}$ poise.

1 $10^{-1} \mathrm{~N} / \mathrm{m}^{2}$
2 $10^{-2} \mathrm{~N} / \mathrm{m}^{2}$
3 $10^{-3} \mathrm{~N} / \mathrm{m}^{2}$
4 $10^{-4} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Fluids

142704 A lead shot of $1 \mathrm{~mm}$ diameter falls through a long column of glycerin. The variation of the velocity with distance covered (s) is correctly represented by

1 a
2 b
3 c
4 d