07. Law of Floating Bodies
Mechanical Properties of Fluids

143345 A block of wood floats in water with $(4 / 5)^{\text {th }}$ of its volume submerged. If the same block is just floats in a liquid. Then find the density of this liquid. (Given density of water $=1000 \mathrm{~kg} \cdot \mathrm{m}^{-3}$ )

1 $1250 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
2 $600 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
3 $400 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
4 $800 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
Mechanical Properties of Fluids

143346 In a water container, an aluminum piece of volume $0.5 \mathrm{~m}^{3}$ is lowered through an external force, until it is completely submerged. In another identical water container, a lead piece of same volume was similarly submerged using the same amount of external force. The mass density of lead is 4 times larger than the mass density of the aluminum. If $F_{A}$ and $F_{L}$ are the buoyancy forces acting on aluminum and lead respectively, then which of the following statement is correct?

1 $\mathrm{F}_{\mathrm{A}}>4 \mathrm{~F}_{\mathrm{L}}$
2 $\mathrm{F}_{\mathrm{L}}>4 \mathrm{~F}_{\mathrm{A}}$
3 $\mathrm{F}_{\mathrm{A}}>2 \mathrm{~F}_{\mathrm{L}}$
4 $\mathrm{F}_{\mathrm{L}}>2 \mathrm{~F}_{\mathrm{A}}$
5 $\mathrm{F}_{\mathrm{L}}=\mathrm{F}_{\mathrm{A}}$
Mechanical Properties of Fluids

143348 A raft of wood of mass $120 \mathrm{~kg}$ floats in water. The weight that can be put on the raft to make it just sink, should be $\left(\mathrm{d}_{\text {raft }}=600 \mathrm{~kg} / \mathrm{m}^{3}\right)$

1 $80 \mathrm{~kg}$
2 $50 \mathrm{~kg}$
3 $60 \mathrm{~kg}$
4 $30 \mathrm{~kg}$
Mechanical Properties of Fluids

143349 A horizontal pipeline carrying gasoline has a cross-sectional diameter of $5 \mathrm{~mm}$. If the viscosity and density of the gasoline are $6 \times 10^{-3}$ Poise and $720 \mathrm{~kg} / \mathrm{m}^{3}$ respectively, the velocity after which the flow becomes turbulent is

1 $>1.66 \mathrm{~m} / \mathrm{s}$
2 $>3.33 \mathrm{~m} / \mathrm{s}$
3 $>1.6 \times 10^{-3} \mathrm{~m} / \mathrm{s}$
4 $>0.33 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143345 A block of wood floats in water with $(4 / 5)^{\text {th }}$ of its volume submerged. If the same block is just floats in a liquid. Then find the density of this liquid. (Given density of water $=1000 \mathrm{~kg} \cdot \mathrm{m}^{-3}$ )

1 $1250 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
2 $600 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
3 $400 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
4 $800 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
Mechanical Properties of Fluids

143346 In a water container, an aluminum piece of volume $0.5 \mathrm{~m}^{3}$ is lowered through an external force, until it is completely submerged. In another identical water container, a lead piece of same volume was similarly submerged using the same amount of external force. The mass density of lead is 4 times larger than the mass density of the aluminum. If $F_{A}$ and $F_{L}$ are the buoyancy forces acting on aluminum and lead respectively, then which of the following statement is correct?

1 $\mathrm{F}_{\mathrm{A}}>4 \mathrm{~F}_{\mathrm{L}}$
2 $\mathrm{F}_{\mathrm{L}}>4 \mathrm{~F}_{\mathrm{A}}$
3 $\mathrm{F}_{\mathrm{A}}>2 \mathrm{~F}_{\mathrm{L}}$
4 $\mathrm{F}_{\mathrm{L}}>2 \mathrm{~F}_{\mathrm{A}}$
5 $\mathrm{F}_{\mathrm{L}}=\mathrm{F}_{\mathrm{A}}$
Mechanical Properties of Fluids

143348 A raft of wood of mass $120 \mathrm{~kg}$ floats in water. The weight that can be put on the raft to make it just sink, should be $\left(\mathrm{d}_{\text {raft }}=600 \mathrm{~kg} / \mathrm{m}^{3}\right)$

1 $80 \mathrm{~kg}$
2 $50 \mathrm{~kg}$
3 $60 \mathrm{~kg}$
4 $30 \mathrm{~kg}$
Mechanical Properties of Fluids

143349 A horizontal pipeline carrying gasoline has a cross-sectional diameter of $5 \mathrm{~mm}$. If the viscosity and density of the gasoline are $6 \times 10^{-3}$ Poise and $720 \mathrm{~kg} / \mathrm{m}^{3}$ respectively, the velocity after which the flow becomes turbulent is

1 $>1.66 \mathrm{~m} / \mathrm{s}$
2 $>3.33 \mathrm{~m} / \mathrm{s}$
3 $>1.6 \times 10^{-3} \mathrm{~m} / \mathrm{s}$
4 $>0.33 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143345 A block of wood floats in water with $(4 / 5)^{\text {th }}$ of its volume submerged. If the same block is just floats in a liquid. Then find the density of this liquid. (Given density of water $=1000 \mathrm{~kg} \cdot \mathrm{m}^{-3}$ )

1 $1250 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
2 $600 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
3 $400 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
4 $800 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
Mechanical Properties of Fluids

143346 In a water container, an aluminum piece of volume $0.5 \mathrm{~m}^{3}$ is lowered through an external force, until it is completely submerged. In another identical water container, a lead piece of same volume was similarly submerged using the same amount of external force. The mass density of lead is 4 times larger than the mass density of the aluminum. If $F_{A}$ and $F_{L}$ are the buoyancy forces acting on aluminum and lead respectively, then which of the following statement is correct?

1 $\mathrm{F}_{\mathrm{A}}>4 \mathrm{~F}_{\mathrm{L}}$
2 $\mathrm{F}_{\mathrm{L}}>4 \mathrm{~F}_{\mathrm{A}}$
3 $\mathrm{F}_{\mathrm{A}}>2 \mathrm{~F}_{\mathrm{L}}$
4 $\mathrm{F}_{\mathrm{L}}>2 \mathrm{~F}_{\mathrm{A}}$
5 $\mathrm{F}_{\mathrm{L}}=\mathrm{F}_{\mathrm{A}}$
Mechanical Properties of Fluids

143348 A raft of wood of mass $120 \mathrm{~kg}$ floats in water. The weight that can be put on the raft to make it just sink, should be $\left(\mathrm{d}_{\text {raft }}=600 \mathrm{~kg} / \mathrm{m}^{3}\right)$

1 $80 \mathrm{~kg}$
2 $50 \mathrm{~kg}$
3 $60 \mathrm{~kg}$
4 $30 \mathrm{~kg}$
Mechanical Properties of Fluids

143349 A horizontal pipeline carrying gasoline has a cross-sectional diameter of $5 \mathrm{~mm}$. If the viscosity and density of the gasoline are $6 \times 10^{-3}$ Poise and $720 \mathrm{~kg} / \mathrm{m}^{3}$ respectively, the velocity after which the flow becomes turbulent is

1 $>1.66 \mathrm{~m} / \mathrm{s}$
2 $>3.33 \mathrm{~m} / \mathrm{s}$
3 $>1.6 \times 10^{-3} \mathrm{~m} / \mathrm{s}$
4 $>0.33 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143345 A block of wood floats in water with $(4 / 5)^{\text {th }}$ of its volume submerged. If the same block is just floats in a liquid. Then find the density of this liquid. (Given density of water $=1000 \mathrm{~kg} \cdot \mathrm{m}^{-3}$ )

1 $1250 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
2 $600 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
3 $400 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
4 $800 \mathrm{~kg} \cdot \mathrm{m}^{-3}$
Mechanical Properties of Fluids

143346 In a water container, an aluminum piece of volume $0.5 \mathrm{~m}^{3}$ is lowered through an external force, until it is completely submerged. In another identical water container, a lead piece of same volume was similarly submerged using the same amount of external force. The mass density of lead is 4 times larger than the mass density of the aluminum. If $F_{A}$ and $F_{L}$ are the buoyancy forces acting on aluminum and lead respectively, then which of the following statement is correct?

1 $\mathrm{F}_{\mathrm{A}}>4 \mathrm{~F}_{\mathrm{L}}$
2 $\mathrm{F}_{\mathrm{L}}>4 \mathrm{~F}_{\mathrm{A}}$
3 $\mathrm{F}_{\mathrm{A}}>2 \mathrm{~F}_{\mathrm{L}}$
4 $\mathrm{F}_{\mathrm{L}}>2 \mathrm{~F}_{\mathrm{A}}$
5 $\mathrm{F}_{\mathrm{L}}=\mathrm{F}_{\mathrm{A}}$
Mechanical Properties of Fluids

143348 A raft of wood of mass $120 \mathrm{~kg}$ floats in water. The weight that can be put on the raft to make it just sink, should be $\left(\mathrm{d}_{\text {raft }}=600 \mathrm{~kg} / \mathrm{m}^{3}\right)$

1 $80 \mathrm{~kg}$
2 $50 \mathrm{~kg}$
3 $60 \mathrm{~kg}$
4 $30 \mathrm{~kg}$
Mechanical Properties of Fluids

143349 A horizontal pipeline carrying gasoline has a cross-sectional diameter of $5 \mathrm{~mm}$. If the viscosity and density of the gasoline are $6 \times 10^{-3}$ Poise and $720 \mathrm{~kg} / \mathrm{m}^{3}$ respectively, the velocity after which the flow becomes turbulent is

1 $>1.66 \mathrm{~m} / \mathrm{s}$
2 $>3.33 \mathrm{~m} / \mathrm{s}$
3 $>1.6 \times 10^{-3} \mathrm{~m} / \mathrm{s}$
4 $>0.33 \mathrm{~m} / \mathrm{s}$