07. Law of Floating Bodies
Mechanical Properties of Fluids

143363 A vessel contains oil (density $\rho_{1}$ ) over a liquid of density $\rho_{2}$. A homogeneous sphere of volume $V$ floats with half of its volume immersed in the liquid and the other half in oil. The weight of the sphere is

1 $\mathrm{V}\left(\rho_{2}-\rho_{1}\right) / 2$
2 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right) \mathrm{g} / 2$
3 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right)$
4 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right) / 2$
Mechanical Properties of Fluids

143306 A spherical object of density $\rho$ is immersed in a fluid of density $\sigma$. The object will move

1 downwards if $\rho>\sigma$
2 downwards if $\sigma>\rho$
3 upwards if $\rho \lt \sigma$
4 upwards if $\rho>\sigma$
Mechanical Properties of Fluids

143318 A ball floats on the surface of water in a container exposed to the atmosphere. When the container is covered and the air is partially removed, then the ball

1 rises
2 gets immersed more in water
3 remains immersed at its former depth
4 may rise or sink.
Mechanical Properties of Fluids

143331 An aluminium sphere is dipped into water. Which of the following is true ?

1 Buoyancy will be less in water at $0^{\circ} \mathrm{C}$ than
that is water at $4^{\circ} \mathrm{C}$
2 Buoyancy will be more in water at $0^{\circ} \mathrm{C}$ than
that in water at $4^{\circ} \mathrm{C}$
3 Buoyancy in water at $0^{\circ} \mathrm{C}$ will be same as that in water at $4^{\circ} \mathrm{C}$
4 Buoyancy may be more or less in water $4^{\circ} \mathrm{C}$ depending on the radius of the sphere
Mechanical Properties of Fluids

143363 A vessel contains oil (density $\rho_{1}$ ) over a liquid of density $\rho_{2}$. A homogeneous sphere of volume $V$ floats with half of its volume immersed in the liquid and the other half in oil. The weight of the sphere is

1 $\mathrm{V}\left(\rho_{2}-\rho_{1}\right) / 2$
2 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right) \mathrm{g} / 2$
3 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right)$
4 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right) / 2$
Mechanical Properties of Fluids

143306 A spherical object of density $\rho$ is immersed in a fluid of density $\sigma$. The object will move

1 downwards if $\rho>\sigma$
2 downwards if $\sigma>\rho$
3 upwards if $\rho \lt \sigma$
4 upwards if $\rho>\sigma$
Mechanical Properties of Fluids

143318 A ball floats on the surface of water in a container exposed to the atmosphere. When the container is covered and the air is partially removed, then the ball

1 rises
2 gets immersed more in water
3 remains immersed at its former depth
4 may rise or sink.
Mechanical Properties of Fluids

143331 An aluminium sphere is dipped into water. Which of the following is true ?

1 Buoyancy will be less in water at $0^{\circ} \mathrm{C}$ than
that is water at $4^{\circ} \mathrm{C}$
2 Buoyancy will be more in water at $0^{\circ} \mathrm{C}$ than
that in water at $4^{\circ} \mathrm{C}$
3 Buoyancy in water at $0^{\circ} \mathrm{C}$ will be same as that in water at $4^{\circ} \mathrm{C}$
4 Buoyancy may be more or less in water $4^{\circ} \mathrm{C}$ depending on the radius of the sphere
Mechanical Properties of Fluids

143363 A vessel contains oil (density $\rho_{1}$ ) over a liquid of density $\rho_{2}$. A homogeneous sphere of volume $V$ floats with half of its volume immersed in the liquid and the other half in oil. The weight of the sphere is

1 $\mathrm{V}\left(\rho_{2}-\rho_{1}\right) / 2$
2 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right) \mathrm{g} / 2$
3 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right)$
4 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right) / 2$
Mechanical Properties of Fluids

143306 A spherical object of density $\rho$ is immersed in a fluid of density $\sigma$. The object will move

1 downwards if $\rho>\sigma$
2 downwards if $\sigma>\rho$
3 upwards if $\rho \lt \sigma$
4 upwards if $\rho>\sigma$
Mechanical Properties of Fluids

143318 A ball floats on the surface of water in a container exposed to the atmosphere. When the container is covered and the air is partially removed, then the ball

1 rises
2 gets immersed more in water
3 remains immersed at its former depth
4 may rise or sink.
Mechanical Properties of Fluids

143331 An aluminium sphere is dipped into water. Which of the following is true ?

1 Buoyancy will be less in water at $0^{\circ} \mathrm{C}$ than
that is water at $4^{\circ} \mathrm{C}$
2 Buoyancy will be more in water at $0^{\circ} \mathrm{C}$ than
that in water at $4^{\circ} \mathrm{C}$
3 Buoyancy in water at $0^{\circ} \mathrm{C}$ will be same as that in water at $4^{\circ} \mathrm{C}$
4 Buoyancy may be more or less in water $4^{\circ} \mathrm{C}$ depending on the radius of the sphere
Mechanical Properties of Fluids

143363 A vessel contains oil (density $\rho_{1}$ ) over a liquid of density $\rho_{2}$. A homogeneous sphere of volume $V$ floats with half of its volume immersed in the liquid and the other half in oil. The weight of the sphere is

1 $\mathrm{V}\left(\rho_{2}-\rho_{1}\right) / 2$
2 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right) \mathrm{g} / 2$
3 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right)$
4 $\mathrm{V}\left(\rho_{2}+\rho_{1}\right) / 2$
Mechanical Properties of Fluids

143306 A spherical object of density $\rho$ is immersed in a fluid of density $\sigma$. The object will move

1 downwards if $\rho>\sigma$
2 downwards if $\sigma>\rho$
3 upwards if $\rho \lt \sigma$
4 upwards if $\rho>\sigma$
Mechanical Properties of Fluids

143318 A ball floats on the surface of water in a container exposed to the atmosphere. When the container is covered and the air is partially removed, then the ball

1 rises
2 gets immersed more in water
3 remains immersed at its former depth
4 may rise or sink.
Mechanical Properties of Fluids

143331 An aluminium sphere is dipped into water. Which of the following is true ?

1 Buoyancy will be less in water at $0^{\circ} \mathrm{C}$ than
that is water at $4^{\circ} \mathrm{C}$
2 Buoyancy will be more in water at $0^{\circ} \mathrm{C}$ than
that in water at $4^{\circ} \mathrm{C}$
3 Buoyancy in water at $0^{\circ} \mathrm{C}$ will be same as that in water at $4^{\circ} \mathrm{C}$
4 Buoyancy may be more or less in water $4^{\circ} \mathrm{C}$ depending on the radius of the sphere
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