02. Capillary and Angle of Contact
Mechanical Properties of Fluids

142973 Which of the following graph best represent the relation between the capillary rise $h$ and the radius $r$ of capillary?

1 1
2 2
3 3
4 4
Mechanical Properties of Fluids

142974 A glass tube of radius a is dipped into a dish of water of density $\delta$ and surface tension $S$. If $g$ is the acceleration due to gravity, the capillary rise $h$ is given by

1 $\frac{2 \mathrm{Sa}}{\delta \mathrm{g}}$
2 $\frac{2 \mathrm{~S}}{\delta \mathrm{ga}}$
3 $\frac{2 \delta \text { ga }}{\mathrm{S}}$
4 $\frac{2 \mathrm{Sg}}{\delta \mathrm{a}}$
Mechanical Properties of Fluids

142975 A uniform capillary tube of length $l$ and inner radius $r$ with its upper end sealed is submerged vertically into water. The outside pressure is $\mathbf{p}_{0}$ and surface tension of water is $\gamma$. When a length $x$ of the capillary is submerged into water, it is found that water levels inside and outside the capillary coincide. The value of $x$ is

1 $\frac{l}{\left(1+\frac{\mathrm{p}_{0} \mathrm{r}}{4 \gamma}\right)}$
2 $l\left(1-\frac{\mathrm{p}_{0} \mathrm{r}}{4 \gamma}\right)$
3 $l\left(1-\frac{\mathrm{p}_{0} \mathrm{r}}{2 \gamma}\right)$
4 $\frac{l}{\left(1+\frac{\mathrm{p}_{0} \mathrm{r}}{2 \gamma}\right)}$
Mechanical Properties of Fluids

142977 Liquid rises to a height of $2 \mathrm{~cm}$ in a capillary tube and the angle of contact between the solid and the liquid is zero. If the tube is depressed more now so that top of capillary is only $1 \mathrm{~cm}$ above the liquid, then apparent angle of contact between the solid and the liquid is

1 $0^{\circ}$
2 $30^{\circ}$
3 $60^{\circ}$
4 $90^{\circ}$
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Mechanical Properties of Fluids

142973 Which of the following graph best represent the relation between the capillary rise $h$ and the radius $r$ of capillary?

1 1
2 2
3 3
4 4
Mechanical Properties of Fluids

142974 A glass tube of radius a is dipped into a dish of water of density $\delta$ and surface tension $S$. If $g$ is the acceleration due to gravity, the capillary rise $h$ is given by

1 $\frac{2 \mathrm{Sa}}{\delta \mathrm{g}}$
2 $\frac{2 \mathrm{~S}}{\delta \mathrm{ga}}$
3 $\frac{2 \delta \text { ga }}{\mathrm{S}}$
4 $\frac{2 \mathrm{Sg}}{\delta \mathrm{a}}$
Mechanical Properties of Fluids

142975 A uniform capillary tube of length $l$ and inner radius $r$ with its upper end sealed is submerged vertically into water. The outside pressure is $\mathbf{p}_{0}$ and surface tension of water is $\gamma$. When a length $x$ of the capillary is submerged into water, it is found that water levels inside and outside the capillary coincide. The value of $x$ is

1 $\frac{l}{\left(1+\frac{\mathrm{p}_{0} \mathrm{r}}{4 \gamma}\right)}$
2 $l\left(1-\frac{\mathrm{p}_{0} \mathrm{r}}{4 \gamma}\right)$
3 $l\left(1-\frac{\mathrm{p}_{0} \mathrm{r}}{2 \gamma}\right)$
4 $\frac{l}{\left(1+\frac{\mathrm{p}_{0} \mathrm{r}}{2 \gamma}\right)}$
Mechanical Properties of Fluids

142977 Liquid rises to a height of $2 \mathrm{~cm}$ in a capillary tube and the angle of contact between the solid and the liquid is zero. If the tube is depressed more now so that top of capillary is only $1 \mathrm{~cm}$ above the liquid, then apparent angle of contact between the solid and the liquid is

1 $0^{\circ}$
2 $30^{\circ}$
3 $60^{\circ}$
4 $90^{\circ}$
Mechanical Properties of Fluids

142973 Which of the following graph best represent the relation between the capillary rise $h$ and the radius $r$ of capillary?

1 1
2 2
3 3
4 4
Mechanical Properties of Fluids

142974 A glass tube of radius a is dipped into a dish of water of density $\delta$ and surface tension $S$. If $g$ is the acceleration due to gravity, the capillary rise $h$ is given by

1 $\frac{2 \mathrm{Sa}}{\delta \mathrm{g}}$
2 $\frac{2 \mathrm{~S}}{\delta \mathrm{ga}}$
3 $\frac{2 \delta \text { ga }}{\mathrm{S}}$
4 $\frac{2 \mathrm{Sg}}{\delta \mathrm{a}}$
Mechanical Properties of Fluids

142975 A uniform capillary tube of length $l$ and inner radius $r$ with its upper end sealed is submerged vertically into water. The outside pressure is $\mathbf{p}_{0}$ and surface tension of water is $\gamma$. When a length $x$ of the capillary is submerged into water, it is found that water levels inside and outside the capillary coincide. The value of $x$ is

1 $\frac{l}{\left(1+\frac{\mathrm{p}_{0} \mathrm{r}}{4 \gamma}\right)}$
2 $l\left(1-\frac{\mathrm{p}_{0} \mathrm{r}}{4 \gamma}\right)$
3 $l\left(1-\frac{\mathrm{p}_{0} \mathrm{r}}{2 \gamma}\right)$
4 $\frac{l}{\left(1+\frac{\mathrm{p}_{0} \mathrm{r}}{2 \gamma}\right)}$
Mechanical Properties of Fluids

142977 Liquid rises to a height of $2 \mathrm{~cm}$ in a capillary tube and the angle of contact between the solid and the liquid is zero. If the tube is depressed more now so that top of capillary is only $1 \mathrm{~cm}$ above the liquid, then apparent angle of contact between the solid and the liquid is

1 $0^{\circ}$
2 $30^{\circ}$
3 $60^{\circ}$
4 $90^{\circ}$
Mechanical Properties of Fluids

142973 Which of the following graph best represent the relation between the capillary rise $h$ and the radius $r$ of capillary?

1 1
2 2
3 3
4 4
Mechanical Properties of Fluids

142974 A glass tube of radius a is dipped into a dish of water of density $\delta$ and surface tension $S$. If $g$ is the acceleration due to gravity, the capillary rise $h$ is given by

1 $\frac{2 \mathrm{Sa}}{\delta \mathrm{g}}$
2 $\frac{2 \mathrm{~S}}{\delta \mathrm{ga}}$
3 $\frac{2 \delta \text { ga }}{\mathrm{S}}$
4 $\frac{2 \mathrm{Sg}}{\delta \mathrm{a}}$
Mechanical Properties of Fluids

142975 A uniform capillary tube of length $l$ and inner radius $r$ with its upper end sealed is submerged vertically into water. The outside pressure is $\mathbf{p}_{0}$ and surface tension of water is $\gamma$. When a length $x$ of the capillary is submerged into water, it is found that water levels inside and outside the capillary coincide. The value of $x$ is

1 $\frac{l}{\left(1+\frac{\mathrm{p}_{0} \mathrm{r}}{4 \gamma}\right)}$
2 $l\left(1-\frac{\mathrm{p}_{0} \mathrm{r}}{4 \gamma}\right)$
3 $l\left(1-\frac{\mathrm{p}_{0} \mathrm{r}}{2 \gamma}\right)$
4 $\frac{l}{\left(1+\frac{\mathrm{p}_{0} \mathrm{r}}{2 \gamma}\right)}$
Mechanical Properties of Fluids

142977 Liquid rises to a height of $2 \mathrm{~cm}$ in a capillary tube and the angle of contact between the solid and the liquid is zero. If the tube is depressed more now so that top of capillary is only $1 \mathrm{~cm}$ above the liquid, then apparent angle of contact between the solid and the liquid is

1 $0^{\circ}$
2 $30^{\circ}$
3 $60^{\circ}$
4 $90^{\circ}$