05. Archimedes Principle
Mechanical Properties of Fluids

143193 A block of iron contains a hollow cavity as shown below. The block weighs $6000 \mathrm{~N}$ in air and $4000 \mathrm{~N}$ in water. If the density of iron and water are $6 \mathrm{~g} / \mathrm{cm}^{3}$ and $1 \mathrm{~g} / \mathrm{cm}^{3}$, then the volume of the cavity is

1 $0.05 \mathrm{~m}$
2 \(0.5 \mathrm{~m}^3\)
3 $0.25 \mathrm{~m}^{3}$
4 $0.1 \mathrm{~m}^{3}$
Mechanical Properties of Fluids

143194 Water flows along a horizontal pipe whose cross-section is not constant. The pressure is $1 \mathrm{~cm}$ of $\mathrm{Hg}$, where the velocity is $35 \mathrm{~cm}-\mathrm{s}^{-1}$. At a point where the velocity is $65 \mathrm{~cm}-\mathrm{s}^{-1}$, the pressure will be

1 $0.89 \mathrm{~cm}$ of $\mathrm{Hg}$
2 $8.9 \mathrm{~cm}$ of $\mathrm{Hg}$
3 $0.5 \mathrm{~cm}$ of $\mathrm{Hg}$
4 $1 \mathrm{~cm}$ of $\mathrm{Hg}$
Mechanical Properties of Fluids

143195 Under a constant pressure head, the rate of flow of orderly volume flow of liquid through a capillary tube is $V$. If the length of the capillary is doubled and the diameter of the bore is halved, the rate of flow would become

1 $\mathrm{V} / 4$
2 $\mathrm{V} / 8$
3 $16 \mathrm{~V}$
4 $\mathrm{V} / 32$
Mechanical Properties of Fluids

143197 A boy has $60 \mathrm{~kg}$ weight. He wants to swim in a river with the help of a wooden log. If relative density of wood is 0.6 , what is the minimum volume of wooden log?
(density of river water is $1000 \mathrm{~kg} / \mathrm{m}^{3}$ )

1 $0.66 \mathrm{~m}^{3}$
2 $150 \mathrm{~m}^{3}$
3 $\frac{3}{1} \mathrm{~m}^{3}$
4 $\frac{3}{20} \mathrm{~m}^{3}$
Mechanical Properties of Fluids

143199 A piece of wax weighs $18.03 \mathrm{~g}$ in air. A piece of metal is found to weigh $17.03 \mathrm{~g}$ in water. It is tied to the wax and both together weight $15.23 \mathrm{~g}$ in water. Then, the specific gravity of wax is :

1 $\frac{18.03}{17.03}$
2 $\frac{17.03}{18.03}$
3 $\frac{18.03}{19.83}$
4 $\frac{15.03}{17.03}$
Mechanical Properties of Fluids

143193 A block of iron contains a hollow cavity as shown below. The block weighs $6000 \mathrm{~N}$ in air and $4000 \mathrm{~N}$ in water. If the density of iron and water are $6 \mathrm{~g} / \mathrm{cm}^{3}$ and $1 \mathrm{~g} / \mathrm{cm}^{3}$, then the volume of the cavity is

1 $0.05 \mathrm{~m}$
2 \(0.5 \mathrm{~m}^3\)
3 $0.25 \mathrm{~m}^{3}$
4 $0.1 \mathrm{~m}^{3}$
Mechanical Properties of Fluids

143194 Water flows along a horizontal pipe whose cross-section is not constant. The pressure is $1 \mathrm{~cm}$ of $\mathrm{Hg}$, where the velocity is $35 \mathrm{~cm}-\mathrm{s}^{-1}$. At a point where the velocity is $65 \mathrm{~cm}-\mathrm{s}^{-1}$, the pressure will be

1 $0.89 \mathrm{~cm}$ of $\mathrm{Hg}$
2 $8.9 \mathrm{~cm}$ of $\mathrm{Hg}$
3 $0.5 \mathrm{~cm}$ of $\mathrm{Hg}$
4 $1 \mathrm{~cm}$ of $\mathrm{Hg}$
Mechanical Properties of Fluids

143195 Under a constant pressure head, the rate of flow of orderly volume flow of liquid through a capillary tube is $V$. If the length of the capillary is doubled and the diameter of the bore is halved, the rate of flow would become

1 $\mathrm{V} / 4$
2 $\mathrm{V} / 8$
3 $16 \mathrm{~V}$
4 $\mathrm{V} / 32$
Mechanical Properties of Fluids

143197 A boy has $60 \mathrm{~kg}$ weight. He wants to swim in a river with the help of a wooden log. If relative density of wood is 0.6 , what is the minimum volume of wooden log?
(density of river water is $1000 \mathrm{~kg} / \mathrm{m}^{3}$ )

1 $0.66 \mathrm{~m}^{3}$
2 $150 \mathrm{~m}^{3}$
3 $\frac{3}{1} \mathrm{~m}^{3}$
4 $\frac{3}{20} \mathrm{~m}^{3}$
Mechanical Properties of Fluids

143199 A piece of wax weighs $18.03 \mathrm{~g}$ in air. A piece of metal is found to weigh $17.03 \mathrm{~g}$ in water. It is tied to the wax and both together weight $15.23 \mathrm{~g}$ in water. Then, the specific gravity of wax is :

1 $\frac{18.03}{17.03}$
2 $\frac{17.03}{18.03}$
3 $\frac{18.03}{19.83}$
4 $\frac{15.03}{17.03}$
Mechanical Properties of Fluids

143193 A block of iron contains a hollow cavity as shown below. The block weighs $6000 \mathrm{~N}$ in air and $4000 \mathrm{~N}$ in water. If the density of iron and water are $6 \mathrm{~g} / \mathrm{cm}^{3}$ and $1 \mathrm{~g} / \mathrm{cm}^{3}$, then the volume of the cavity is

1 $0.05 \mathrm{~m}$
2 \(0.5 \mathrm{~m}^3\)
3 $0.25 \mathrm{~m}^{3}$
4 $0.1 \mathrm{~m}^{3}$
Mechanical Properties of Fluids

143194 Water flows along a horizontal pipe whose cross-section is not constant. The pressure is $1 \mathrm{~cm}$ of $\mathrm{Hg}$, where the velocity is $35 \mathrm{~cm}-\mathrm{s}^{-1}$. At a point where the velocity is $65 \mathrm{~cm}-\mathrm{s}^{-1}$, the pressure will be

1 $0.89 \mathrm{~cm}$ of $\mathrm{Hg}$
2 $8.9 \mathrm{~cm}$ of $\mathrm{Hg}$
3 $0.5 \mathrm{~cm}$ of $\mathrm{Hg}$
4 $1 \mathrm{~cm}$ of $\mathrm{Hg}$
Mechanical Properties of Fluids

143195 Under a constant pressure head, the rate of flow of orderly volume flow of liquid through a capillary tube is $V$. If the length of the capillary is doubled and the diameter of the bore is halved, the rate of flow would become

1 $\mathrm{V} / 4$
2 $\mathrm{V} / 8$
3 $16 \mathrm{~V}$
4 $\mathrm{V} / 32$
Mechanical Properties of Fluids

143197 A boy has $60 \mathrm{~kg}$ weight. He wants to swim in a river with the help of a wooden log. If relative density of wood is 0.6 , what is the minimum volume of wooden log?
(density of river water is $1000 \mathrm{~kg} / \mathrm{m}^{3}$ )

1 $0.66 \mathrm{~m}^{3}$
2 $150 \mathrm{~m}^{3}$
3 $\frac{3}{1} \mathrm{~m}^{3}$
4 $\frac{3}{20} \mathrm{~m}^{3}$
Mechanical Properties of Fluids

143199 A piece of wax weighs $18.03 \mathrm{~g}$ in air. A piece of metal is found to weigh $17.03 \mathrm{~g}$ in water. It is tied to the wax and both together weight $15.23 \mathrm{~g}$ in water. Then, the specific gravity of wax is :

1 $\frac{18.03}{17.03}$
2 $\frac{17.03}{18.03}$
3 $\frac{18.03}{19.83}$
4 $\frac{15.03}{17.03}$
Mechanical Properties of Fluids

143193 A block of iron contains a hollow cavity as shown below. The block weighs $6000 \mathrm{~N}$ in air and $4000 \mathrm{~N}$ in water. If the density of iron and water are $6 \mathrm{~g} / \mathrm{cm}^{3}$ and $1 \mathrm{~g} / \mathrm{cm}^{3}$, then the volume of the cavity is

1 $0.05 \mathrm{~m}$
2 \(0.5 \mathrm{~m}^3\)
3 $0.25 \mathrm{~m}^{3}$
4 $0.1 \mathrm{~m}^{3}$
Mechanical Properties of Fluids

143194 Water flows along a horizontal pipe whose cross-section is not constant. The pressure is $1 \mathrm{~cm}$ of $\mathrm{Hg}$, where the velocity is $35 \mathrm{~cm}-\mathrm{s}^{-1}$. At a point where the velocity is $65 \mathrm{~cm}-\mathrm{s}^{-1}$, the pressure will be

1 $0.89 \mathrm{~cm}$ of $\mathrm{Hg}$
2 $8.9 \mathrm{~cm}$ of $\mathrm{Hg}$
3 $0.5 \mathrm{~cm}$ of $\mathrm{Hg}$
4 $1 \mathrm{~cm}$ of $\mathrm{Hg}$
Mechanical Properties of Fluids

143195 Under a constant pressure head, the rate of flow of orderly volume flow of liquid through a capillary tube is $V$. If the length of the capillary is doubled and the diameter of the bore is halved, the rate of flow would become

1 $\mathrm{V} / 4$
2 $\mathrm{V} / 8$
3 $16 \mathrm{~V}$
4 $\mathrm{V} / 32$
Mechanical Properties of Fluids

143197 A boy has $60 \mathrm{~kg}$ weight. He wants to swim in a river with the help of a wooden log. If relative density of wood is 0.6 , what is the minimum volume of wooden log?
(density of river water is $1000 \mathrm{~kg} / \mathrm{m}^{3}$ )

1 $0.66 \mathrm{~m}^{3}$
2 $150 \mathrm{~m}^{3}$
3 $\frac{3}{1} \mathrm{~m}^{3}$
4 $\frac{3}{20} \mathrm{~m}^{3}$
Mechanical Properties of Fluids

143199 A piece of wax weighs $18.03 \mathrm{~g}$ in air. A piece of metal is found to weigh $17.03 \mathrm{~g}$ in water. It is tied to the wax and both together weight $15.23 \mathrm{~g}$ in water. Then, the specific gravity of wax is :

1 $\frac{18.03}{17.03}$
2 $\frac{17.03}{18.03}$
3 $\frac{18.03}{19.83}$
4 $\frac{15.03}{17.03}$
Mechanical Properties of Fluids

143193 A block of iron contains a hollow cavity as shown below. The block weighs $6000 \mathrm{~N}$ in air and $4000 \mathrm{~N}$ in water. If the density of iron and water are $6 \mathrm{~g} / \mathrm{cm}^{3}$ and $1 \mathrm{~g} / \mathrm{cm}^{3}$, then the volume of the cavity is

1 $0.05 \mathrm{~m}$
2 \(0.5 \mathrm{~m}^3\)
3 $0.25 \mathrm{~m}^{3}$
4 $0.1 \mathrm{~m}^{3}$
Mechanical Properties of Fluids

143194 Water flows along a horizontal pipe whose cross-section is not constant. The pressure is $1 \mathrm{~cm}$ of $\mathrm{Hg}$, where the velocity is $35 \mathrm{~cm}-\mathrm{s}^{-1}$. At a point where the velocity is $65 \mathrm{~cm}-\mathrm{s}^{-1}$, the pressure will be

1 $0.89 \mathrm{~cm}$ of $\mathrm{Hg}$
2 $8.9 \mathrm{~cm}$ of $\mathrm{Hg}$
3 $0.5 \mathrm{~cm}$ of $\mathrm{Hg}$
4 $1 \mathrm{~cm}$ of $\mathrm{Hg}$
Mechanical Properties of Fluids

143195 Under a constant pressure head, the rate of flow of orderly volume flow of liquid through a capillary tube is $V$. If the length of the capillary is doubled and the diameter of the bore is halved, the rate of flow would become

1 $\mathrm{V} / 4$
2 $\mathrm{V} / 8$
3 $16 \mathrm{~V}$
4 $\mathrm{V} / 32$
Mechanical Properties of Fluids

143197 A boy has $60 \mathrm{~kg}$ weight. He wants to swim in a river with the help of a wooden log. If relative density of wood is 0.6 , what is the minimum volume of wooden log?
(density of river water is $1000 \mathrm{~kg} / \mathrm{m}^{3}$ )

1 $0.66 \mathrm{~m}^{3}$
2 $150 \mathrm{~m}^{3}$
3 $\frac{3}{1} \mathrm{~m}^{3}$
4 $\frac{3}{20} \mathrm{~m}^{3}$
Mechanical Properties of Fluids

143199 A piece of wax weighs $18.03 \mathrm{~g}$ in air. A piece of metal is found to weigh $17.03 \mathrm{~g}$ in water. It is tied to the wax and both together weight $15.23 \mathrm{~g}$ in water. Then, the specific gravity of wax is :

1 $\frac{18.03}{17.03}$
2 $\frac{17.03}{18.03}$
3 $\frac{18.03}{19.83}$
4 $\frac{15.03}{17.03}$