11. Stokes's Law and Terminal Velocity
Mechanical Properties of Fluids

143473 Two solid sphere of radii $2 \mathrm{~mm}$ and $4 \mathrm{~mm}$ are tied to the two ends of a light string and released in a liquid of specific gravity 1.3 and coefficient of viscosity 1 Pa-s. The String is just taut, when the two spheres are completely in the liquid. If the density of the materials of the two spheres is $2800 \mathrm{kgm}^{-3}$, then the terminal velocity of the system of the sphere is (take $\mathrm{g}=10 \mathrm{~ms}^{-2}$ )

1 $2 \mathrm{cms}^{-1}$
2 $4 \mathrm{cms}^{-1}$
3 $4 \mathrm{~ms}^{-1}$
4 $2 \mathrm{~ms}^{-1}$
Mechanical Properties of Fluids

143475 A large drop of oil (density $0.8 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on:

1 $\eta_{0}$ only
2 $\eta_{L}$ only
3 both on $\eta_{0}$ and $\eta_{\mathrm{L}}$
4 neither $\eta_{0}$ nor $\eta_{\mathrm{L}}$
Mechanical Properties of Fluids

143477 A tank of height $\mathrm{H}$ is fully filled with water. If the water rushing from a hole made in the tank below the free surface, strikes the floor at maximum horizontal distance, then the depth maximum horizontal distance, then the depth of the hole from the free surface must be

1 $\left(\frac{3}{4}\right) \mathrm{H}$
2 $\left(\frac{2}{3}\right) \mathrm{H}$
3 $\left(\frac{1}{4}\right) \mathrm{H}$
4 $\left(\frac{1}{2}\right) \mathrm{H}$
5 $\left(\frac{1}{3}\right) \mathrm{H}$
Mechanical Properties of Fluids

143479 Two spherical rain drops reach the surface of the earth with terminal velocities having ratio $16: 9$. The ratio of their surface are is

1 $4: 3$
2 $16: 9$
3 $64: 27$
4 $9: 16$
Mechanical Properties of Fluids

143474 A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t) may be best represented by
original image

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

143473 Two solid sphere of radii $2 \mathrm{~mm}$ and $4 \mathrm{~mm}$ are tied to the two ends of a light string and released in a liquid of specific gravity 1.3 and coefficient of viscosity 1 Pa-s. The String is just taut, when the two spheres are completely in the liquid. If the density of the materials of the two spheres is $2800 \mathrm{kgm}^{-3}$, then the terminal velocity of the system of the sphere is (take $\mathrm{g}=10 \mathrm{~ms}^{-2}$ )

1 $2 \mathrm{cms}^{-1}$
2 $4 \mathrm{cms}^{-1}$
3 $4 \mathrm{~ms}^{-1}$
4 $2 \mathrm{~ms}^{-1}$
Mechanical Properties of Fluids

143475 A large drop of oil (density $0.8 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on:

1 $\eta_{0}$ only
2 $\eta_{L}$ only
3 both on $\eta_{0}$ and $\eta_{\mathrm{L}}$
4 neither $\eta_{0}$ nor $\eta_{\mathrm{L}}$
Mechanical Properties of Fluids

143477 A tank of height $\mathrm{H}$ is fully filled with water. If the water rushing from a hole made in the tank below the free surface, strikes the floor at maximum horizontal distance, then the depth maximum horizontal distance, then the depth of the hole from the free surface must be

1 $\left(\frac{3}{4}\right) \mathrm{H}$
2 $\left(\frac{2}{3}\right) \mathrm{H}$
3 $\left(\frac{1}{4}\right) \mathrm{H}$
4 $\left(\frac{1}{2}\right) \mathrm{H}$
5 $\left(\frac{1}{3}\right) \mathrm{H}$
Mechanical Properties of Fluids

143479 Two spherical rain drops reach the surface of the earth with terminal velocities having ratio $16: 9$. The ratio of their surface are is

1 $4: 3$
2 $16: 9$
3 $64: 27$
4 $9: 16$
Mechanical Properties of Fluids

143474 A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t) may be best represented by
original image

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

143473 Two solid sphere of radii $2 \mathrm{~mm}$ and $4 \mathrm{~mm}$ are tied to the two ends of a light string and released in a liquid of specific gravity 1.3 and coefficient of viscosity 1 Pa-s. The String is just taut, when the two spheres are completely in the liquid. If the density of the materials of the two spheres is $2800 \mathrm{kgm}^{-3}$, then the terminal velocity of the system of the sphere is (take $\mathrm{g}=10 \mathrm{~ms}^{-2}$ )

1 $2 \mathrm{cms}^{-1}$
2 $4 \mathrm{cms}^{-1}$
3 $4 \mathrm{~ms}^{-1}$
4 $2 \mathrm{~ms}^{-1}$
Mechanical Properties of Fluids

143475 A large drop of oil (density $0.8 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on:

1 $\eta_{0}$ only
2 $\eta_{L}$ only
3 both on $\eta_{0}$ and $\eta_{\mathrm{L}}$
4 neither $\eta_{0}$ nor $\eta_{\mathrm{L}}$
Mechanical Properties of Fluids

143477 A tank of height $\mathrm{H}$ is fully filled with water. If the water rushing from a hole made in the tank below the free surface, strikes the floor at maximum horizontal distance, then the depth maximum horizontal distance, then the depth of the hole from the free surface must be

1 $\left(\frac{3}{4}\right) \mathrm{H}$
2 $\left(\frac{2}{3}\right) \mathrm{H}$
3 $\left(\frac{1}{4}\right) \mathrm{H}$
4 $\left(\frac{1}{2}\right) \mathrm{H}$
5 $\left(\frac{1}{3}\right) \mathrm{H}$
Mechanical Properties of Fluids

143479 Two spherical rain drops reach the surface of the earth with terminal velocities having ratio $16: 9$. The ratio of their surface are is

1 $4: 3$
2 $16: 9$
3 $64: 27$
4 $9: 16$
Mechanical Properties of Fluids

143474 A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t) may be best represented by
original image

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

143473 Two solid sphere of radii $2 \mathrm{~mm}$ and $4 \mathrm{~mm}$ are tied to the two ends of a light string and released in a liquid of specific gravity 1.3 and coefficient of viscosity 1 Pa-s. The String is just taut, when the two spheres are completely in the liquid. If the density of the materials of the two spheres is $2800 \mathrm{kgm}^{-3}$, then the terminal velocity of the system of the sphere is (take $\mathrm{g}=10 \mathrm{~ms}^{-2}$ )

1 $2 \mathrm{cms}^{-1}$
2 $4 \mathrm{cms}^{-1}$
3 $4 \mathrm{~ms}^{-1}$
4 $2 \mathrm{~ms}^{-1}$
Mechanical Properties of Fluids

143475 A large drop of oil (density $0.8 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on:

1 $\eta_{0}$ only
2 $\eta_{L}$ only
3 both on $\eta_{0}$ and $\eta_{\mathrm{L}}$
4 neither $\eta_{0}$ nor $\eta_{\mathrm{L}}$
Mechanical Properties of Fluids

143477 A tank of height $\mathrm{H}$ is fully filled with water. If the water rushing from a hole made in the tank below the free surface, strikes the floor at maximum horizontal distance, then the depth maximum horizontal distance, then the depth of the hole from the free surface must be

1 $\left(\frac{3}{4}\right) \mathrm{H}$
2 $\left(\frac{2}{3}\right) \mathrm{H}$
3 $\left(\frac{1}{4}\right) \mathrm{H}$
4 $\left(\frac{1}{2}\right) \mathrm{H}$
5 $\left(\frac{1}{3}\right) \mathrm{H}$
Mechanical Properties of Fluids

143479 Two spherical rain drops reach the surface of the earth with terminal velocities having ratio $16: 9$. The ratio of their surface are is

1 $4: 3$
2 $16: 9$
3 $64: 27$
4 $9: 16$
Mechanical Properties of Fluids

143474 A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t) may be best represented by
original image

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

143473 Two solid sphere of radii $2 \mathrm{~mm}$ and $4 \mathrm{~mm}$ are tied to the two ends of a light string and released in a liquid of specific gravity 1.3 and coefficient of viscosity 1 Pa-s. The String is just taut, when the two spheres are completely in the liquid. If the density of the materials of the two spheres is $2800 \mathrm{kgm}^{-3}$, then the terminal velocity of the system of the sphere is (take $\mathrm{g}=10 \mathrm{~ms}^{-2}$ )

1 $2 \mathrm{cms}^{-1}$
2 $4 \mathrm{cms}^{-1}$
3 $4 \mathrm{~ms}^{-1}$
4 $2 \mathrm{~ms}^{-1}$
Mechanical Properties of Fluids

143475 A large drop of oil (density $0.8 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on:

1 $\eta_{0}$ only
2 $\eta_{L}$ only
3 both on $\eta_{0}$ and $\eta_{\mathrm{L}}$
4 neither $\eta_{0}$ nor $\eta_{\mathrm{L}}$
Mechanical Properties of Fluids

143477 A tank of height $\mathrm{H}$ is fully filled with water. If the water rushing from a hole made in the tank below the free surface, strikes the floor at maximum horizontal distance, then the depth maximum horizontal distance, then the depth of the hole from the free surface must be

1 $\left(\frac{3}{4}\right) \mathrm{H}$
2 $\left(\frac{2}{3}\right) \mathrm{H}$
3 $\left(\frac{1}{4}\right) \mathrm{H}$
4 $\left(\frac{1}{2}\right) \mathrm{H}$
5 $\left(\frac{1}{3}\right) \mathrm{H}$
Mechanical Properties of Fluids

143479 Two spherical rain drops reach the surface of the earth with terminal velocities having ratio $16: 9$. The ratio of their surface are is

1 $4: 3$
2 $16: 9$
3 $64: 27$
4 $9: 16$
Mechanical Properties of Fluids

143474 A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t) may be best represented by
original image

1 a
2 b
3 c
4 d