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

142743 When a cube is floating in water, $20 \%$ of the cube is outside the water. When the same cube is placed in another liquid, $35 \%$ of the cube is outside the liquid. The density of the liquid $g$ $\mathbf{c m}^{-3}$ is

1 $\frac{16}{13}$
2 $\frac{4}{13}$
3 $\frac{13}{20}$
4 $\frac{4}{5}$
Mechanical Properties of Fluids

142745 Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$.
The retarding viscous force acting on the spherical ball is

1 directly proportional to $\mathrm{R}$ but inversely proportional to $\mathrm{v}$
2 directly proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
3 inversely proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
4 inversely proportional to $\mathrm{R}$ but directly proportional to velocity $\mathrm{v}$
Mechanical Properties of Fluids

142747 A square plate of $0.1 \mathrm{~m}$ side moves parallel to a second plate with a velocity of $0.1 \mathrm{~m} / \mathrm{s}$ both plates being immersed in water. If the viscous force is $0.002 \mathrm{~N}$ and the coefficient of viscosity is 0.01 poise, distance between the plates in meter is :

1 0.1
2 0.05
3 0.005
4 0.0005
Mechanical Properties of Fluids

142748 The variation of density of a solid with temperature is given by the formula

1 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1+\gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
2 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1-\gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
3 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1-2 \gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
4 $d_{2}=\frac{d_{1}}{1+2 \gamma\left(t_{2}-t_{1}\right)}$
Mechanical Properties of Fluids

142749 Water in a river $20 \mathrm{~m}$ deep is following at a speed of $10 \mathrm{~ms}^{-1}$. The shearing stress between the horizontal layers of water in the river in $\mathrm{Nm}^{-2}$ is (Coefficient of viscosity of water $=10^{-3}$ SI units)

1 $1 \times 10^{-2}$
2 $0.5 \times 10^{-2}$
3 $1 \times 10^{-3}$
4 $0.5 \times 10^{-3}$
Mechanical Properties of Fluids

142743 When a cube is floating in water, $20 \%$ of the cube is outside the water. When the same cube is placed in another liquid, $35 \%$ of the cube is outside the liquid. The density of the liquid $g$ $\mathbf{c m}^{-3}$ is

1 $\frac{16}{13}$
2 $\frac{4}{13}$
3 $\frac{13}{20}$
4 $\frac{4}{5}$
Mechanical Properties of Fluids

142745 Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$.
The retarding viscous force acting on the spherical ball is

1 directly proportional to $\mathrm{R}$ but inversely proportional to $\mathrm{v}$
2 directly proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
3 inversely proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
4 inversely proportional to $\mathrm{R}$ but directly proportional to velocity $\mathrm{v}$
Mechanical Properties of Fluids

142747 A square plate of $0.1 \mathrm{~m}$ side moves parallel to a second plate with a velocity of $0.1 \mathrm{~m} / \mathrm{s}$ both plates being immersed in water. If the viscous force is $0.002 \mathrm{~N}$ and the coefficient of viscosity is 0.01 poise, distance between the plates in meter is :

1 0.1
2 0.05
3 0.005
4 0.0005
Mechanical Properties of Fluids

142748 The variation of density of a solid with temperature is given by the formula

1 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1+\gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
2 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1-\gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
3 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1-2 \gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
4 $d_{2}=\frac{d_{1}}{1+2 \gamma\left(t_{2}-t_{1}\right)}$
Mechanical Properties of Fluids

142749 Water in a river $20 \mathrm{~m}$ deep is following at a speed of $10 \mathrm{~ms}^{-1}$. The shearing stress between the horizontal layers of water in the river in $\mathrm{Nm}^{-2}$ is (Coefficient of viscosity of water $=10^{-3}$ SI units)

1 $1 \times 10^{-2}$
2 $0.5 \times 10^{-2}$
3 $1 \times 10^{-3}$
4 $0.5 \times 10^{-3}$
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Mechanical Properties of Fluids

142743 When a cube is floating in water, $20 \%$ of the cube is outside the water. When the same cube is placed in another liquid, $35 \%$ of the cube is outside the liquid. The density of the liquid $g$ $\mathbf{c m}^{-3}$ is

1 $\frac{16}{13}$
2 $\frac{4}{13}$
3 $\frac{13}{20}$
4 $\frac{4}{5}$
Mechanical Properties of Fluids

142745 Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$.
The retarding viscous force acting on the spherical ball is

1 directly proportional to $\mathrm{R}$ but inversely proportional to $\mathrm{v}$
2 directly proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
3 inversely proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
4 inversely proportional to $\mathrm{R}$ but directly proportional to velocity $\mathrm{v}$
Mechanical Properties of Fluids

142747 A square plate of $0.1 \mathrm{~m}$ side moves parallel to a second plate with a velocity of $0.1 \mathrm{~m} / \mathrm{s}$ both plates being immersed in water. If the viscous force is $0.002 \mathrm{~N}$ and the coefficient of viscosity is 0.01 poise, distance between the plates in meter is :

1 0.1
2 0.05
3 0.005
4 0.0005
Mechanical Properties of Fluids

142748 The variation of density of a solid with temperature is given by the formula

1 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1+\gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
2 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1-\gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
3 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1-2 \gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
4 $d_{2}=\frac{d_{1}}{1+2 \gamma\left(t_{2}-t_{1}\right)}$
Mechanical Properties of Fluids

142749 Water in a river $20 \mathrm{~m}$ deep is following at a speed of $10 \mathrm{~ms}^{-1}$. The shearing stress between the horizontal layers of water in the river in $\mathrm{Nm}^{-2}$ is (Coefficient of viscosity of water $=10^{-3}$ SI units)

1 $1 \times 10^{-2}$
2 $0.5 \times 10^{-2}$
3 $1 \times 10^{-3}$
4 $0.5 \times 10^{-3}$
Mechanical Properties of Fluids

142743 When a cube is floating in water, $20 \%$ of the cube is outside the water. When the same cube is placed in another liquid, $35 \%$ of the cube is outside the liquid. The density of the liquid $g$ $\mathbf{c m}^{-3}$ is

1 $\frac{16}{13}$
2 $\frac{4}{13}$
3 $\frac{13}{20}$
4 $\frac{4}{5}$
Mechanical Properties of Fluids

142745 Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$.
The retarding viscous force acting on the spherical ball is

1 directly proportional to $\mathrm{R}$ but inversely proportional to $\mathrm{v}$
2 directly proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
3 inversely proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
4 inversely proportional to $\mathrm{R}$ but directly proportional to velocity $\mathrm{v}$
Mechanical Properties of Fluids

142747 A square plate of $0.1 \mathrm{~m}$ side moves parallel to a second plate with a velocity of $0.1 \mathrm{~m} / \mathrm{s}$ both plates being immersed in water. If the viscous force is $0.002 \mathrm{~N}$ and the coefficient of viscosity is 0.01 poise, distance between the plates in meter is :

1 0.1
2 0.05
3 0.005
4 0.0005
Mechanical Properties of Fluids

142748 The variation of density of a solid with temperature is given by the formula

1 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1+\gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
2 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1-\gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
3 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1-2 \gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
4 $d_{2}=\frac{d_{1}}{1+2 \gamma\left(t_{2}-t_{1}\right)}$
Mechanical Properties of Fluids

142749 Water in a river $20 \mathrm{~m}$ deep is following at a speed of $10 \mathrm{~ms}^{-1}$. The shearing stress between the horizontal layers of water in the river in $\mathrm{Nm}^{-2}$ is (Coefficient of viscosity of water $=10^{-3}$ SI units)

1 $1 \times 10^{-2}$
2 $0.5 \times 10^{-2}$
3 $1 \times 10^{-3}$
4 $0.5 \times 10^{-3}$
Mechanical Properties of Fluids

142743 When a cube is floating in water, $20 \%$ of the cube is outside the water. When the same cube is placed in another liquid, $35 \%$ of the cube is outside the liquid. The density of the liquid $g$ $\mathbf{c m}^{-3}$ is

1 $\frac{16}{13}$
2 $\frac{4}{13}$
3 $\frac{13}{20}$
4 $\frac{4}{5}$
Mechanical Properties of Fluids

142745 Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$.
The retarding viscous force acting on the spherical ball is

1 directly proportional to $\mathrm{R}$ but inversely proportional to $\mathrm{v}$
2 directly proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
3 inversely proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
4 inversely proportional to $\mathrm{R}$ but directly proportional to velocity $\mathrm{v}$
Mechanical Properties of Fluids

142747 A square plate of $0.1 \mathrm{~m}$ side moves parallel to a second plate with a velocity of $0.1 \mathrm{~m} / \mathrm{s}$ both plates being immersed in water. If the viscous force is $0.002 \mathrm{~N}$ and the coefficient of viscosity is 0.01 poise, distance between the plates in meter is :

1 0.1
2 0.05
3 0.005
4 0.0005
Mechanical Properties of Fluids

142748 The variation of density of a solid with temperature is given by the formula

1 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1+\gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
2 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1-\gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
3 $\mathrm{d}_{2}=\frac{\mathrm{d}_{1}}{1-2 \gamma\left(\mathrm{t}_{2}-\mathrm{t}_{1}\right)}$
4 $d_{2}=\frac{d_{1}}{1+2 \gamma\left(t_{2}-t_{1}\right)}$
Mechanical Properties of Fluids

142749 Water in a river $20 \mathrm{~m}$ deep is following at a speed of $10 \mathrm{~ms}^{-1}$. The shearing stress between the horizontal layers of water in the river in $\mathrm{Nm}^{-2}$ is (Coefficient of viscosity of water $=10^{-3}$ SI units)

1 $1 \times 10^{-2}$
2 $0.5 \times 10^{-2}$
3 $1 \times 10^{-3}$
4 $0.5 \times 10^{-3}$