05. Archimedes Principle
« Previous Topic: 04. Pascal's Law and Pressure Inside the Fluid Next Topic: 06. Flow of Fluid »
Mechanical Properties of Fluids

143179 A solid sphere of volume $V$ and density $\rho$ floats at the interface to two immiscible liquids of densities $\rho_{1}$ and $\rho_{2}$ respectively. If $\rho_{1} \lt \rho \lt \rho_{2}$, then the ratio of volume of the parts of the sphere in upper and lower liquids is :

1 $\frac{\rho-\rho_{2}}{\rho_{2}-\rho}$
2 $\frac{\rho_{2}-\rho}{\rho-\rho_{1}}$
3 $\frac{\rho+\rho_{1}}{\rho+\rho_{2}}$
4 $\frac{\rho+\rho_{2}}{\rho+\rho_{1}}$
5 $\frac{\sqrt{\rho_{1} \rho_{2}}}{\rho}$
Kerala CEE 2006
Mechanical Properties of Fluids

143180 A stream of non-viscous liquid emerges from a very short outlet tube at the base of a large open tank, in which the depth of liquid is $h$. The tube is at a fixed angle $\theta$ to the ground as shown in the figure. The maximum height of the stream $y$ is

1 $h \sin ^{2} \theta$
2 $\mathrm{h} \sin 2 \theta$
3 $\frac{1}{2} \mathrm{~h} \sin \theta$
4 $h \tan ^{2} \theta$
UPSEE - 2018
Mechanical Properties of Fluids

143181 An object of mass $26 \mathrm{~kg}$ floats in air and it is in equilibrium state. Air density is $1.3 \mathrm{~kg} / \mathrm{m}^{3}$. The volume of the object is

1 $10 \mathrm{~m}^{3}$
2 $20 \mathrm{~m}^{3}$
3 $13 \mathrm{~m}^{3}$
4 $26 \mathrm{~m}^{3}$
UPSEE - 2017
Mechanical Properties of Fluids

143182 A wire of length I metre, made of a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in millimeter) upto which it can continue to float is (surface tension of water is $\mathrm{T}=\mathbf{7 0} \times 10^{-3} \mathrm{Nm}^{-1}$ )

1 1.5
2 1.1
3 0.75
4 0.55
UPSEE - 2014
Mechanical Properties of Fluids

143183 In this figure, an ideal liquid flows through the tube having uniform area of cross-section and is held in vertical plane. Find the speed of liquid at $A$ and $B$ and also find the pressure difference between these points

1 $2 \mathrm{pgh}$
2 $\rho \mathrm{gh}$
3 $\frac{3}{2} \rho g h$
4 zero
UPSEE - 2013
NEET DIGITAL LIBRARY
Mechanical Properties of Fluids

143179 A solid sphere of volume $V$ and density $\rho$ floats at the interface to two immiscible liquids of densities $\rho_{1}$ and $\rho_{2}$ respectively. If $\rho_{1} \lt \rho \lt \rho_{2}$, then the ratio of volume of the parts of the sphere in upper and lower liquids is :

1 $\frac{\rho-\rho_{2}}{\rho_{2}-\rho}$
2 $\frac{\rho_{2}-\rho}{\rho-\rho_{1}}$
3 $\frac{\rho+\rho_{1}}{\rho+\rho_{2}}$
4 $\frac{\rho+\rho_{2}}{\rho+\rho_{1}}$
5 $\frac{\sqrt{\rho_{1} \rho_{2}}}{\rho}$
Kerala CEE 2006
Mechanical Properties of Fluids

143180 A stream of non-viscous liquid emerges from a very short outlet tube at the base of a large open tank, in which the depth of liquid is $h$. The tube is at a fixed angle $\theta$ to the ground as shown in the figure. The maximum height of the stream $y$ is

1 $h \sin ^{2} \theta$
2 $\mathrm{h} \sin 2 \theta$
3 $\frac{1}{2} \mathrm{~h} \sin \theta$
4 $h \tan ^{2} \theta$
UPSEE - 2018
Mechanical Properties of Fluids

143181 An object of mass $26 \mathrm{~kg}$ floats in air and it is in equilibrium state. Air density is $1.3 \mathrm{~kg} / \mathrm{m}^{3}$. The volume of the object is

1 $10 \mathrm{~m}^{3}$
2 $20 \mathrm{~m}^{3}$
3 $13 \mathrm{~m}^{3}$
4 $26 \mathrm{~m}^{3}$
UPSEE - 2017
Mechanical Properties of Fluids

143182 A wire of length I metre, made of a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in millimeter) upto which it can continue to float is (surface tension of water is $\mathrm{T}=\mathbf{7 0} \times 10^{-3} \mathrm{Nm}^{-1}$ )

1 1.5
2 1.1
3 0.75
4 0.55
UPSEE - 2014
Mechanical Properties of Fluids

143183 In this figure, an ideal liquid flows through the tube having uniform area of cross-section and is held in vertical plane. Find the speed of liquid at $A$ and $B$ and also find the pressure difference between these points

1 $2 \mathrm{pgh}$
2 $\rho \mathrm{gh}$
3 $\frac{3}{2} \rho g h$
4 zero
UPSEE - 2013
Join With Us for More Updates
Mechanical Properties of Fluids

143179 A solid sphere of volume $V$ and density $\rho$ floats at the interface to two immiscible liquids of densities $\rho_{1}$ and $\rho_{2}$ respectively. If $\rho_{1} \lt \rho \lt \rho_{2}$, then the ratio of volume of the parts of the sphere in upper and lower liquids is :

1 $\frac{\rho-\rho_{2}}{\rho_{2}-\rho}$
2 $\frac{\rho_{2}-\rho}{\rho-\rho_{1}}$
3 $\frac{\rho+\rho_{1}}{\rho+\rho_{2}}$
4 $\frac{\rho+\rho_{2}}{\rho+\rho_{1}}$
5 $\frac{\sqrt{\rho_{1} \rho_{2}}}{\rho}$
Kerala CEE 2006
Mechanical Properties of Fluids

143180 A stream of non-viscous liquid emerges from a very short outlet tube at the base of a large open tank, in which the depth of liquid is $h$. The tube is at a fixed angle $\theta$ to the ground as shown in the figure. The maximum height of the stream $y$ is

1 $h \sin ^{2} \theta$
2 $\mathrm{h} \sin 2 \theta$
3 $\frac{1}{2} \mathrm{~h} \sin \theta$
4 $h \tan ^{2} \theta$
UPSEE - 2018
Mechanical Properties of Fluids

143181 An object of mass $26 \mathrm{~kg}$ floats in air and it is in equilibrium state. Air density is $1.3 \mathrm{~kg} / \mathrm{m}^{3}$. The volume of the object is

1 $10 \mathrm{~m}^{3}$
2 $20 \mathrm{~m}^{3}$
3 $13 \mathrm{~m}^{3}$
4 $26 \mathrm{~m}^{3}$
UPSEE - 2017
Mechanical Properties of Fluids

143182 A wire of length I metre, made of a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in millimeter) upto which it can continue to float is (surface tension of water is $\mathrm{T}=\mathbf{7 0} \times 10^{-3} \mathrm{Nm}^{-1}$ )

1 1.5
2 1.1
3 0.75
4 0.55
UPSEE - 2014
Mechanical Properties of Fluids

143183 In this figure, an ideal liquid flows through the tube having uniform area of cross-section and is held in vertical plane. Find the speed of liquid at $A$ and $B$ and also find the pressure difference between these points

1 $2 \mathrm{pgh}$
2 $\rho \mathrm{gh}$
3 $\frac{3}{2} \rho g h$
4 zero
UPSEE - 2013
For More Updates join with Us
Mechanical Properties of Fluids

143179 A solid sphere of volume $V$ and density $\rho$ floats at the interface to two immiscible liquids of densities $\rho_{1}$ and $\rho_{2}$ respectively. If $\rho_{1} \lt \rho \lt \rho_{2}$, then the ratio of volume of the parts of the sphere in upper and lower liquids is :

1 $\frac{\rho-\rho_{2}}{\rho_{2}-\rho}$
2 $\frac{\rho_{2}-\rho}{\rho-\rho_{1}}$
3 $\frac{\rho+\rho_{1}}{\rho+\rho_{2}}$
4 $\frac{\rho+\rho_{2}}{\rho+\rho_{1}}$
5 $\frac{\sqrt{\rho_{1} \rho_{2}}}{\rho}$
Kerala CEE 2006
Mechanical Properties of Fluids

143180 A stream of non-viscous liquid emerges from a very short outlet tube at the base of a large open tank, in which the depth of liquid is $h$. The tube is at a fixed angle $\theta$ to the ground as shown in the figure. The maximum height of the stream $y$ is

1 $h \sin ^{2} \theta$
2 $\mathrm{h} \sin 2 \theta$
3 $\frac{1}{2} \mathrm{~h} \sin \theta$
4 $h \tan ^{2} \theta$
UPSEE - 2018
Mechanical Properties of Fluids

143181 An object of mass $26 \mathrm{~kg}$ floats in air and it is in equilibrium state. Air density is $1.3 \mathrm{~kg} / \mathrm{m}^{3}$. The volume of the object is

1 $10 \mathrm{~m}^{3}$
2 $20 \mathrm{~m}^{3}$
3 $13 \mathrm{~m}^{3}$
4 $26 \mathrm{~m}^{3}$
UPSEE - 2017
Mechanical Properties of Fluids

143182 A wire of length I metre, made of a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in millimeter) upto which it can continue to float is (surface tension of water is $\mathrm{T}=\mathbf{7 0} \times 10^{-3} \mathrm{Nm}^{-1}$ )

1 1.5
2 1.1
3 0.75
4 0.55
UPSEE - 2014
Mechanical Properties of Fluids

143183 In this figure, an ideal liquid flows through the tube having uniform area of cross-section and is held in vertical plane. Find the speed of liquid at $A$ and $B$ and also find the pressure difference between these points

1 $2 \mathrm{pgh}$
2 $\rho \mathrm{gh}$
3 $\frac{3}{2} \rho g h$
4 zero
UPSEE - 2013
NEET DIGITAL LIBRARY
Mechanical Properties of Fluids

143179 A solid sphere of volume $V$ and density $\rho$ floats at the interface to two immiscible liquids of densities $\rho_{1}$ and $\rho_{2}$ respectively. If $\rho_{1} \lt \rho \lt \rho_{2}$, then the ratio of volume of the parts of the sphere in upper and lower liquids is :

1 $\frac{\rho-\rho_{2}}{\rho_{2}-\rho}$
2 $\frac{\rho_{2}-\rho}{\rho-\rho_{1}}$
3 $\frac{\rho+\rho_{1}}{\rho+\rho_{2}}$
4 $\frac{\rho+\rho_{2}}{\rho+\rho_{1}}$
5 $\frac{\sqrt{\rho_{1} \rho_{2}}}{\rho}$
Kerala CEE 2006
Mechanical Properties of Fluids

143180 A stream of non-viscous liquid emerges from a very short outlet tube at the base of a large open tank, in which the depth of liquid is $h$. The tube is at a fixed angle $\theta$ to the ground as shown in the figure. The maximum height of the stream $y$ is

1 $h \sin ^{2} \theta$
2 $\mathrm{h} \sin 2 \theta$
3 $\frac{1}{2} \mathrm{~h} \sin \theta$
4 $h \tan ^{2} \theta$
UPSEE - 2018
Mechanical Properties of Fluids

143181 An object of mass $26 \mathrm{~kg}$ floats in air and it is in equilibrium state. Air density is $1.3 \mathrm{~kg} / \mathrm{m}^{3}$. The volume of the object is

1 $10 \mathrm{~m}^{3}$
2 $20 \mathrm{~m}^{3}$
3 $13 \mathrm{~m}^{3}$
4 $26 \mathrm{~m}^{3}$
UPSEE - 2017
Mechanical Properties of Fluids

143182 A wire of length I metre, made of a material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in millimeter) upto which it can continue to float is (surface tension of water is $\mathrm{T}=\mathbf{7 0} \times 10^{-3} \mathrm{Nm}^{-1}$ )

1 1.5
2 1.1
3 0.75
4 0.55
UPSEE - 2014
Mechanical Properties of Fluids

143183 In this figure, an ideal liquid flows through the tube having uniform area of cross-section and is held in vertical plane. Find the speed of liquid at $A$ and $B$ and also find the pressure difference between these points

1 $2 \mathrm{pgh}$
2 $\rho \mathrm{gh}$
3 $\frac{3}{2} \rho g h$
4 zero
UPSEE - 2013