02. Capillary and Angle of Contact
Mechanical Properties of Fluids

142933 The height of liquid column raised in a capillary tube of certain radius when dipped in liquid $A$ vertically is $5 \mathbf{c m}$. If the tube is dipped in a similar manner in another liquid $B$ of surface tension and density double the values of liquid $A$, the height of liquid column raised in liquid $B$ would be m.

1 0.20
2 0.5
3 0.10
4 0.05
Mechanical Properties of Fluids

142934 A capillary tube of radius $0.5 \mathrm{~mm}$ is immersed in a beaker of mercury. The level inside he tube is $0.8 \mathrm{~cm}$ below the level in beaker and angle of contact is $120^{\circ}$. What is the surface tension of mercury, if the mass density of mercury is $\rho=13.6 \times 10^{3} \mathrm{kgm}^{-3}$ and acceleration due to gravity is $g=10 \mathrm{~m} / \mathrm{s}^{2}$ ?

1 $0.225 \mathrm{~N} / \mathrm{m}$
2 $0.544 \mathrm{~N} / \mathrm{m}$
3 $0.285 \mathrm{~N} / \mathrm{m}$
4 $0.375 \mathrm{~N} / \mathrm{m}$
5 $0.425 \mathrm{~N} / \mathrm{m}$
Mechanical Properties of Fluids

142935 If a capillary tube of radius $r$ is immersed in a liquid, then the liquid rises to a height $h$. The corresponding mass of liquid column is $m$. The mass of water that would rise in another capillary tube of twice the radius is

1 $2 \mathrm{~m}$
2 $5 \mathrm{~m}$
3 $3 \mathrm{~m}$
4 $4 \mathrm{~m}$
5 $\mathrm{m} / 2$
Mechanical Properties of Fluids

142936 Two capillary tubes $A$ and $B$ of diameter $1 \mathrm{~mm}$ and $2 \mathrm{~mm}$ respectively are dipped vertically in a liquid. If the capillary rise in $A$ is $6 \mathrm{~cm}$, then the capillary rise in $B$ is

1 $2 \mathrm{~cm}$
2 $3 \mathrm{~cm}$
3 $4 \mathrm{~cm}$
4 $6 \mathrm{~cm}$
5 $9 \mathrm{~cm}$
Mechanical Properties of Fluids

142937 Three capillary tubes of same length but internal radii $0.3 \mathrm{~mm}, 0.45 \mathrm{~mm}$ and $0.6 \mathrm{~mm}$ are connected in series and a liquid flows steadily through them. If the pressure difference across the third capillary is $8.1 \mathrm{~mm}$ of mercury, the pressure difference across the first capillary (in mm of mercury) is

1 16.2
2 32.4
3 129.6
4 2.025
5 4.05
Mechanical Properties of Fluids

142933 The height of liquid column raised in a capillary tube of certain radius when dipped in liquid $A$ vertically is $5 \mathbf{c m}$. If the tube is dipped in a similar manner in another liquid $B$ of surface tension and density double the values of liquid $A$, the height of liquid column raised in liquid $B$ would be m.

1 0.20
2 0.5
3 0.10
4 0.05
Mechanical Properties of Fluids

142934 A capillary tube of radius $0.5 \mathrm{~mm}$ is immersed in a beaker of mercury. The level inside he tube is $0.8 \mathrm{~cm}$ below the level in beaker and angle of contact is $120^{\circ}$. What is the surface tension of mercury, if the mass density of mercury is $\rho=13.6 \times 10^{3} \mathrm{kgm}^{-3}$ and acceleration due to gravity is $g=10 \mathrm{~m} / \mathrm{s}^{2}$ ?

1 $0.225 \mathrm{~N} / \mathrm{m}$
2 $0.544 \mathrm{~N} / \mathrm{m}$
3 $0.285 \mathrm{~N} / \mathrm{m}$
4 $0.375 \mathrm{~N} / \mathrm{m}$
5 $0.425 \mathrm{~N} / \mathrm{m}$
Mechanical Properties of Fluids

142935 If a capillary tube of radius $r$ is immersed in a liquid, then the liquid rises to a height $h$. The corresponding mass of liquid column is $m$. The mass of water that would rise in another capillary tube of twice the radius is

1 $2 \mathrm{~m}$
2 $5 \mathrm{~m}$
3 $3 \mathrm{~m}$
4 $4 \mathrm{~m}$
5 $\mathrm{m} / 2$
Mechanical Properties of Fluids

142936 Two capillary tubes $A$ and $B$ of diameter $1 \mathrm{~mm}$ and $2 \mathrm{~mm}$ respectively are dipped vertically in a liquid. If the capillary rise in $A$ is $6 \mathrm{~cm}$, then the capillary rise in $B$ is

1 $2 \mathrm{~cm}$
2 $3 \mathrm{~cm}$
3 $4 \mathrm{~cm}$
4 $6 \mathrm{~cm}$
5 $9 \mathrm{~cm}$
Mechanical Properties of Fluids

142937 Three capillary tubes of same length but internal radii $0.3 \mathrm{~mm}, 0.45 \mathrm{~mm}$ and $0.6 \mathrm{~mm}$ are connected in series and a liquid flows steadily through them. If the pressure difference across the third capillary is $8.1 \mathrm{~mm}$ of mercury, the pressure difference across the first capillary (in mm of mercury) is

1 16.2
2 32.4
3 129.6
4 2.025
5 4.05
Mechanical Properties of Fluids

142933 The height of liquid column raised in a capillary tube of certain radius when dipped in liquid $A$ vertically is $5 \mathbf{c m}$. If the tube is dipped in a similar manner in another liquid $B$ of surface tension and density double the values of liquid $A$, the height of liquid column raised in liquid $B$ would be m.

1 0.20
2 0.5
3 0.10
4 0.05
Mechanical Properties of Fluids

142934 A capillary tube of radius $0.5 \mathrm{~mm}$ is immersed in a beaker of mercury. The level inside he tube is $0.8 \mathrm{~cm}$ below the level in beaker and angle of contact is $120^{\circ}$. What is the surface tension of mercury, if the mass density of mercury is $\rho=13.6 \times 10^{3} \mathrm{kgm}^{-3}$ and acceleration due to gravity is $g=10 \mathrm{~m} / \mathrm{s}^{2}$ ?

1 $0.225 \mathrm{~N} / \mathrm{m}$
2 $0.544 \mathrm{~N} / \mathrm{m}$
3 $0.285 \mathrm{~N} / \mathrm{m}$
4 $0.375 \mathrm{~N} / \mathrm{m}$
5 $0.425 \mathrm{~N} / \mathrm{m}$
Mechanical Properties of Fluids

142935 If a capillary tube of radius $r$ is immersed in a liquid, then the liquid rises to a height $h$. The corresponding mass of liquid column is $m$. The mass of water that would rise in another capillary tube of twice the radius is

1 $2 \mathrm{~m}$
2 $5 \mathrm{~m}$
3 $3 \mathrm{~m}$
4 $4 \mathrm{~m}$
5 $\mathrm{m} / 2$
Mechanical Properties of Fluids

142936 Two capillary tubes $A$ and $B$ of diameter $1 \mathrm{~mm}$ and $2 \mathrm{~mm}$ respectively are dipped vertically in a liquid. If the capillary rise in $A$ is $6 \mathrm{~cm}$, then the capillary rise in $B$ is

1 $2 \mathrm{~cm}$
2 $3 \mathrm{~cm}$
3 $4 \mathrm{~cm}$
4 $6 \mathrm{~cm}$
5 $9 \mathrm{~cm}$
Mechanical Properties of Fluids

142937 Three capillary tubes of same length but internal radii $0.3 \mathrm{~mm}, 0.45 \mathrm{~mm}$ and $0.6 \mathrm{~mm}$ are connected in series and a liquid flows steadily through them. If the pressure difference across the third capillary is $8.1 \mathrm{~mm}$ of mercury, the pressure difference across the first capillary (in mm of mercury) is

1 16.2
2 32.4
3 129.6
4 2.025
5 4.05
Mechanical Properties of Fluids

142933 The height of liquid column raised in a capillary tube of certain radius when dipped in liquid $A$ vertically is $5 \mathbf{c m}$. If the tube is dipped in a similar manner in another liquid $B$ of surface tension and density double the values of liquid $A$, the height of liquid column raised in liquid $B$ would be m.

1 0.20
2 0.5
3 0.10
4 0.05
Mechanical Properties of Fluids

142934 A capillary tube of radius $0.5 \mathrm{~mm}$ is immersed in a beaker of mercury. The level inside he tube is $0.8 \mathrm{~cm}$ below the level in beaker and angle of contact is $120^{\circ}$. What is the surface tension of mercury, if the mass density of mercury is $\rho=13.6 \times 10^{3} \mathrm{kgm}^{-3}$ and acceleration due to gravity is $g=10 \mathrm{~m} / \mathrm{s}^{2}$ ?

1 $0.225 \mathrm{~N} / \mathrm{m}$
2 $0.544 \mathrm{~N} / \mathrm{m}$
3 $0.285 \mathrm{~N} / \mathrm{m}$
4 $0.375 \mathrm{~N} / \mathrm{m}$
5 $0.425 \mathrm{~N} / \mathrm{m}$
Mechanical Properties of Fluids

142935 If a capillary tube of radius $r$ is immersed in a liquid, then the liquid rises to a height $h$. The corresponding mass of liquid column is $m$. The mass of water that would rise in another capillary tube of twice the radius is

1 $2 \mathrm{~m}$
2 $5 \mathrm{~m}$
3 $3 \mathrm{~m}$
4 $4 \mathrm{~m}$
5 $\mathrm{m} / 2$
Mechanical Properties of Fluids

142936 Two capillary tubes $A$ and $B$ of diameter $1 \mathrm{~mm}$ and $2 \mathrm{~mm}$ respectively are dipped vertically in a liquid. If the capillary rise in $A$ is $6 \mathrm{~cm}$, then the capillary rise in $B$ is

1 $2 \mathrm{~cm}$
2 $3 \mathrm{~cm}$
3 $4 \mathrm{~cm}$
4 $6 \mathrm{~cm}$
5 $9 \mathrm{~cm}$
Mechanical Properties of Fluids

142937 Three capillary tubes of same length but internal radii $0.3 \mathrm{~mm}, 0.45 \mathrm{~mm}$ and $0.6 \mathrm{~mm}$ are connected in series and a liquid flows steadily through them. If the pressure difference across the third capillary is $8.1 \mathrm{~mm}$ of mercury, the pressure difference across the first capillary (in mm of mercury) is

1 16.2
2 32.4
3 129.6
4 2.025
5 4.05
Mechanical Properties of Fluids

142933 The height of liquid column raised in a capillary tube of certain radius when dipped in liquid $A$ vertically is $5 \mathbf{c m}$. If the tube is dipped in a similar manner in another liquid $B$ of surface tension and density double the values of liquid $A$, the height of liquid column raised in liquid $B$ would be m.

1 0.20
2 0.5
3 0.10
4 0.05
Mechanical Properties of Fluids

142934 A capillary tube of radius $0.5 \mathrm{~mm}$ is immersed in a beaker of mercury. The level inside he tube is $0.8 \mathrm{~cm}$ below the level in beaker and angle of contact is $120^{\circ}$. What is the surface tension of mercury, if the mass density of mercury is $\rho=13.6 \times 10^{3} \mathrm{kgm}^{-3}$ and acceleration due to gravity is $g=10 \mathrm{~m} / \mathrm{s}^{2}$ ?

1 $0.225 \mathrm{~N} / \mathrm{m}$
2 $0.544 \mathrm{~N} / \mathrm{m}$
3 $0.285 \mathrm{~N} / \mathrm{m}$
4 $0.375 \mathrm{~N} / \mathrm{m}$
5 $0.425 \mathrm{~N} / \mathrm{m}$
Mechanical Properties of Fluids

142935 If a capillary tube of radius $r$ is immersed in a liquid, then the liquid rises to a height $h$. The corresponding mass of liquid column is $m$. The mass of water that would rise in another capillary tube of twice the radius is

1 $2 \mathrm{~m}$
2 $5 \mathrm{~m}$
3 $3 \mathrm{~m}$
4 $4 \mathrm{~m}$
5 $\mathrm{m} / 2$
Mechanical Properties of Fluids

142936 Two capillary tubes $A$ and $B$ of diameter $1 \mathrm{~mm}$ and $2 \mathrm{~mm}$ respectively are dipped vertically in a liquid. If the capillary rise in $A$ is $6 \mathrm{~cm}$, then the capillary rise in $B$ is

1 $2 \mathrm{~cm}$
2 $3 \mathrm{~cm}$
3 $4 \mathrm{~cm}$
4 $6 \mathrm{~cm}$
5 $9 \mathrm{~cm}$
Mechanical Properties of Fluids

142937 Three capillary tubes of same length but internal radii $0.3 \mathrm{~mm}, 0.45 \mathrm{~mm}$ and $0.6 \mathrm{~mm}$ are connected in series and a liquid flows steadily through them. If the pressure difference across the third capillary is $8.1 \mathrm{~mm}$ of mercury, the pressure difference across the first capillary (in mm of mercury) is

1 16.2
2 32.4
3 129.6
4 2.025
5 4.05