07. Law of Floating Bodies
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Mechanical Properties of Fluids

143360 A body is floating in a liquid. At two temperatures $t_{1}{ }^{\circ} \mathrm{C}$ and $t_{2}{ }^{\circ} \mathrm{C}$ of the liquid, fractions $f_{1}$ and $f_{2}$ of the volumes of the body remain immersed in a liquid. Coefficient of volume expansion of the liquid is

1 $\frac{f_{1}-f_{2}}{f_{2} t_{1}-f_{1} t_{2}}$
2 $\frac{f_{1}+f_{2}}{f_{1} t_{1}+f_{2} t_{2}}$
3 $\frac{f_{1}+f_{2}}{f_{2} t_{1}+f_{1} t_{2}}$
4 $\frac{f_{1}-f_{2}}{f_{1} t_{1}-f_{2} t_{2}}$
AP EAMCET(Medical)-2012
Mechanical Properties of Fluids

143362 A vessel contains oil of density $0.8 \mathrm{gm} / \mathrm{cm}^{3}$ over mercury of density $13.6 \mathrm{gm} / \mathrm{cm}^{3}$. A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in CGS unit is

1 3.3
2 6.4
3 7.2
4 12.8
NDA (II) 2009
Mechanical Properties of Fluids

143365
Two identical blocks of ice, $A$ and $B$, float in water as shown in the figure given above.
Which one among the following statements in this regard is correct?

1 Block A displaces a greater volume of water since the pressure acts on a smaller bottom area
2 Block A displaces a greater volume of water since its submerged end is lower in the water
3 Block B displaces a greater volume of water since its submerged end has a greater area in water
4 The two blocks displace equal volumes of water since they have the same specific gravity and same mass
TS EAMCET 31.07.2022
Mechanical Properties of Fluids

143305 Ice pieces are floating in a beaker A containing water and also in a beaker $B$ containing miscible liquid of specific gravity 1.2. When ice melts, the level of

1 water increases in $A$
2 water decreases in $\mathrm{A}$
3 liquid in $\mathrm{B}$ decreases
4 liquid in $\mathrm{B}$ increases
5 water in A and liquid in B remains unaltered
Kerala CEE - 2011
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Mechanical Properties of Fluids

143360 A body is floating in a liquid. At two temperatures $t_{1}{ }^{\circ} \mathrm{C}$ and $t_{2}{ }^{\circ} \mathrm{C}$ of the liquid, fractions $f_{1}$ and $f_{2}$ of the volumes of the body remain immersed in a liquid. Coefficient of volume expansion of the liquid is

1 $\frac{f_{1}-f_{2}}{f_{2} t_{1}-f_{1} t_{2}}$
2 $\frac{f_{1}+f_{2}}{f_{1} t_{1}+f_{2} t_{2}}$
3 $\frac{f_{1}+f_{2}}{f_{2} t_{1}+f_{1} t_{2}}$
4 $\frac{f_{1}-f_{2}}{f_{1} t_{1}-f_{2} t_{2}}$
AP EAMCET(Medical)-2012
Mechanical Properties of Fluids

143362 A vessel contains oil of density $0.8 \mathrm{gm} / \mathrm{cm}^{3}$ over mercury of density $13.6 \mathrm{gm} / \mathrm{cm}^{3}$. A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in CGS unit is

1 3.3
2 6.4
3 7.2
4 12.8
NDA (II) 2009
Mechanical Properties of Fluids

143365
Two identical blocks of ice, $A$ and $B$, float in water as shown in the figure given above.
Which one among the following statements in this regard is correct?

1 Block A displaces a greater volume of water since the pressure acts on a smaller bottom area
2 Block A displaces a greater volume of water since its submerged end is lower in the water
3 Block B displaces a greater volume of water since its submerged end has a greater area in water
4 The two blocks displace equal volumes of water since they have the same specific gravity and same mass
TS EAMCET 31.07.2022
Mechanical Properties of Fluids

143305 Ice pieces are floating in a beaker A containing water and also in a beaker $B$ containing miscible liquid of specific gravity 1.2. When ice melts, the level of

1 water increases in $A$
2 water decreases in $\mathrm{A}$
3 liquid in $\mathrm{B}$ decreases
4 liquid in $\mathrm{B}$ increases
5 water in A and liquid in B remains unaltered
Kerala CEE - 2011
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Mechanical Properties of Fluids

143360 A body is floating in a liquid. At two temperatures $t_{1}{ }^{\circ} \mathrm{C}$ and $t_{2}{ }^{\circ} \mathrm{C}$ of the liquid, fractions $f_{1}$ and $f_{2}$ of the volumes of the body remain immersed in a liquid. Coefficient of volume expansion of the liquid is

1 $\frac{f_{1}-f_{2}}{f_{2} t_{1}-f_{1} t_{2}}$
2 $\frac{f_{1}+f_{2}}{f_{1} t_{1}+f_{2} t_{2}}$
3 $\frac{f_{1}+f_{2}}{f_{2} t_{1}+f_{1} t_{2}}$
4 $\frac{f_{1}-f_{2}}{f_{1} t_{1}-f_{2} t_{2}}$
AP EAMCET(Medical)-2012
Mechanical Properties of Fluids

143362 A vessel contains oil of density $0.8 \mathrm{gm} / \mathrm{cm}^{3}$ over mercury of density $13.6 \mathrm{gm} / \mathrm{cm}^{3}$. A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in CGS unit is

1 3.3
2 6.4
3 7.2
4 12.8
NDA (II) 2009
Mechanical Properties of Fluids

143365
Two identical blocks of ice, $A$ and $B$, float in water as shown in the figure given above.
Which one among the following statements in this regard is correct?

1 Block A displaces a greater volume of water since the pressure acts on a smaller bottom area
2 Block A displaces a greater volume of water since its submerged end is lower in the water
3 Block B displaces a greater volume of water since its submerged end has a greater area in water
4 The two blocks displace equal volumes of water since they have the same specific gravity and same mass
TS EAMCET 31.07.2022
Mechanical Properties of Fluids

143305 Ice pieces are floating in a beaker A containing water and also in a beaker $B$ containing miscible liquid of specific gravity 1.2. When ice melts, the level of

1 water increases in $A$
2 water decreases in $\mathrm{A}$
3 liquid in $\mathrm{B}$ decreases
4 liquid in $\mathrm{B}$ increases
5 water in A and liquid in B remains unaltered
Kerala CEE - 2011
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Mechanical Properties of Fluids

143360 A body is floating in a liquid. At two temperatures $t_{1}{ }^{\circ} \mathrm{C}$ and $t_{2}{ }^{\circ} \mathrm{C}$ of the liquid, fractions $f_{1}$ and $f_{2}$ of the volumes of the body remain immersed in a liquid. Coefficient of volume expansion of the liquid is

1 $\frac{f_{1}-f_{2}}{f_{2} t_{1}-f_{1} t_{2}}$
2 $\frac{f_{1}+f_{2}}{f_{1} t_{1}+f_{2} t_{2}}$
3 $\frac{f_{1}+f_{2}}{f_{2} t_{1}+f_{1} t_{2}}$
4 $\frac{f_{1}-f_{2}}{f_{1} t_{1}-f_{2} t_{2}}$
AP EAMCET(Medical)-2012
Mechanical Properties of Fluids

143362 A vessel contains oil of density $0.8 \mathrm{gm} / \mathrm{cm}^{3}$ over mercury of density $13.6 \mathrm{gm} / \mathrm{cm}^{3}$. A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in CGS unit is

1 3.3
2 6.4
3 7.2
4 12.8
NDA (II) 2009
Mechanical Properties of Fluids

143365
Two identical blocks of ice, $A$ and $B$, float in water as shown in the figure given above.
Which one among the following statements in this regard is correct?

1 Block A displaces a greater volume of water since the pressure acts on a smaller bottom area
2 Block A displaces a greater volume of water since its submerged end is lower in the water
3 Block B displaces a greater volume of water since its submerged end has a greater area in water
4 The two blocks displace equal volumes of water since they have the same specific gravity and same mass
TS EAMCET 31.07.2022
Mechanical Properties of Fluids

143305 Ice pieces are floating in a beaker A containing water and also in a beaker $B$ containing miscible liquid of specific gravity 1.2. When ice melts, the level of

1 water increases in $A$
2 water decreases in $\mathrm{A}$
3 liquid in $\mathrm{B}$ decreases
4 liquid in $\mathrm{B}$ increases
5 water in A and liquid in B remains unaltered
Kerala CEE - 2011