07. Law of Floating Bodies
Mechanical Properties of Fluids

143311 A ball whose density is $0.4 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ falls into water from a height of $9 \mathrm{~cm}$. To what depth does the ball sink?

1 $2 \mathrm{~cm}$
2 $6 \mathrm{~cm}$
3 $4.5 \mathrm{~cm}$
4 $2.25 \mathrm{~cm}$
Mechanical Properties of Fluids

143312 A body floats in liquid contained in a beaker. If the whole system as shown in figure falls freely under gravity, then the upthrust on the body due to liquid is

1 zero
2 equal to the weight of liquid displaced
3 equal to the weight of the body in air
4 None of the above
Mechanical Properties of Fluids

143314 A cubical block of wood having mass of $160 \mathrm{~g}$ has a metal piece fastened underneath as shown in the figure. Find the maximum mass of the metal piece which will allow the block to float in water. Specific gravity of wood is 0.8 and that metal is 10 and density of water $=1 \mathrm{~g} / \mathrm{cc}$.

1 $55.5 \mathrm{~g}$
2 $44.4 \mathrm{~g}$
3 $33.3 \mathrm{~g}$
4 $66.6 \mathrm{~g}$
Mechanical Properties of Fluids

143315 A cubical block of wood, of length $10 \mathrm{~cm}$, floats at the interface between oil of density 800 $\mathrm{kg} / \mathrm{m}^{3}$ and water. The lower surface of the block is $1.5 \mathrm{~cm}$ below the interface. If the depth of water is $10 \mathrm{~cm}$ below the interface and oil is upto $10 \mathrm{~cm}$ above the interface then the difference in pressure at the lower and the upper face of the wooden block is
(Assume density of water, $\rho=1000 \mathrm{~kg} / \mathrm{m}^{3}$ and acceleration of gravity, $g=10 \mathrm{~m} / \mathrm{s}^{2}$ )

1 $850 \mathrm{~Pa}$
2 $780 \mathrm{~Pa}$
3 $800 \mathrm{~Pa}$
4 $830 \mathrm{~Pa}$
Mechanical Properties of Fluids

143311 A ball whose density is $0.4 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ falls into water from a height of $9 \mathrm{~cm}$. To what depth does the ball sink?

1 $2 \mathrm{~cm}$
2 $6 \mathrm{~cm}$
3 $4.5 \mathrm{~cm}$
4 $2.25 \mathrm{~cm}$
Mechanical Properties of Fluids

143312 A body floats in liquid contained in a beaker. If the whole system as shown in figure falls freely under gravity, then the upthrust on the body due to liquid is

1 zero
2 equal to the weight of liquid displaced
3 equal to the weight of the body in air
4 None of the above
Mechanical Properties of Fluids

143314 A cubical block of wood having mass of $160 \mathrm{~g}$ has a metal piece fastened underneath as shown in the figure. Find the maximum mass of the metal piece which will allow the block to float in water. Specific gravity of wood is 0.8 and that metal is 10 and density of water $=1 \mathrm{~g} / \mathrm{cc}$.

1 $55.5 \mathrm{~g}$
2 $44.4 \mathrm{~g}$
3 $33.3 \mathrm{~g}$
4 $66.6 \mathrm{~g}$
Mechanical Properties of Fluids

143315 A cubical block of wood, of length $10 \mathrm{~cm}$, floats at the interface between oil of density 800 $\mathrm{kg} / \mathrm{m}^{3}$ and water. The lower surface of the block is $1.5 \mathrm{~cm}$ below the interface. If the depth of water is $10 \mathrm{~cm}$ below the interface and oil is upto $10 \mathrm{~cm}$ above the interface then the difference in pressure at the lower and the upper face of the wooden block is
(Assume density of water, $\rho=1000 \mathrm{~kg} / \mathrm{m}^{3}$ and acceleration of gravity, $g=10 \mathrm{~m} / \mathrm{s}^{2}$ )

1 $850 \mathrm{~Pa}$
2 $780 \mathrm{~Pa}$
3 $800 \mathrm{~Pa}$
4 $830 \mathrm{~Pa}$
Mechanical Properties of Fluids

143311 A ball whose density is $0.4 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ falls into water from a height of $9 \mathrm{~cm}$. To what depth does the ball sink?

1 $2 \mathrm{~cm}$
2 $6 \mathrm{~cm}$
3 $4.5 \mathrm{~cm}$
4 $2.25 \mathrm{~cm}$
Mechanical Properties of Fluids

143312 A body floats in liquid contained in a beaker. If the whole system as shown in figure falls freely under gravity, then the upthrust on the body due to liquid is

1 zero
2 equal to the weight of liquid displaced
3 equal to the weight of the body in air
4 None of the above
Mechanical Properties of Fluids

143314 A cubical block of wood having mass of $160 \mathrm{~g}$ has a metal piece fastened underneath as shown in the figure. Find the maximum mass of the metal piece which will allow the block to float in water. Specific gravity of wood is 0.8 and that metal is 10 and density of water $=1 \mathrm{~g} / \mathrm{cc}$.

1 $55.5 \mathrm{~g}$
2 $44.4 \mathrm{~g}$
3 $33.3 \mathrm{~g}$
4 $66.6 \mathrm{~g}$
Mechanical Properties of Fluids

143315 A cubical block of wood, of length $10 \mathrm{~cm}$, floats at the interface between oil of density 800 $\mathrm{kg} / \mathrm{m}^{3}$ and water. The lower surface of the block is $1.5 \mathrm{~cm}$ below the interface. If the depth of water is $10 \mathrm{~cm}$ below the interface and oil is upto $10 \mathrm{~cm}$ above the interface then the difference in pressure at the lower and the upper face of the wooden block is
(Assume density of water, $\rho=1000 \mathrm{~kg} / \mathrm{m}^{3}$ and acceleration of gravity, $g=10 \mathrm{~m} / \mathrm{s}^{2}$ )

1 $850 \mathrm{~Pa}$
2 $780 \mathrm{~Pa}$
3 $800 \mathrm{~Pa}$
4 $830 \mathrm{~Pa}$
Mechanical Properties of Fluids

143311 A ball whose density is $0.4 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ falls into water from a height of $9 \mathrm{~cm}$. To what depth does the ball sink?

1 $2 \mathrm{~cm}$
2 $6 \mathrm{~cm}$
3 $4.5 \mathrm{~cm}$
4 $2.25 \mathrm{~cm}$
Mechanical Properties of Fluids

143312 A body floats in liquid contained in a beaker. If the whole system as shown in figure falls freely under gravity, then the upthrust on the body due to liquid is

1 zero
2 equal to the weight of liquid displaced
3 equal to the weight of the body in air
4 None of the above
Mechanical Properties of Fluids

143314 A cubical block of wood having mass of $160 \mathrm{~g}$ has a metal piece fastened underneath as shown in the figure. Find the maximum mass of the metal piece which will allow the block to float in water. Specific gravity of wood is 0.8 and that metal is 10 and density of water $=1 \mathrm{~g} / \mathrm{cc}$.

1 $55.5 \mathrm{~g}$
2 $44.4 \mathrm{~g}$
3 $33.3 \mathrm{~g}$
4 $66.6 \mathrm{~g}$
Mechanical Properties of Fluids

143315 A cubical block of wood, of length $10 \mathrm{~cm}$, floats at the interface between oil of density 800 $\mathrm{kg} / \mathrm{m}^{3}$ and water. The lower surface of the block is $1.5 \mathrm{~cm}$ below the interface. If the depth of water is $10 \mathrm{~cm}$ below the interface and oil is upto $10 \mathrm{~cm}$ above the interface then the difference in pressure at the lower and the upper face of the wooden block is
(Assume density of water, $\rho=1000 \mathrm{~kg} / \mathrm{m}^{3}$ and acceleration of gravity, $g=10 \mathrm{~m} / \mathrm{s}^{2}$ )

1 $850 \mathrm{~Pa}$
2 $780 \mathrm{~Pa}$
3 $800 \mathrm{~Pa}$
4 $830 \mathrm{~Pa}$