02. Capillary and Angle of Contact
Mechanical Properties of Fluids

142947 Water rises up in a glass capillary up to a height of $9 \mathrm{~cm}$, while mercury falls down by 3.4 $\mathrm{cm}$ in the same capillary. Assume the angles of contact for water-glass and mercury-glass are $0^{\circ}$ and $135^{\circ}$, respectively. The ratio of surface tensions of mercury and water is $\left(\right.$ Take, $\cos 135^{\circ}$ $=-0.71$ )

1 $8.1: 1$
2 $3.6: 1$
3 $7.2: 1$
4 $8.9: 1$
Mechanical Properties of Fluids

142948 In a surface tension experiment with a capillary tube water rises up to $0.1 \mathrm{~m}$. If the same experiment is repeated an artificial satellite which is revolving around the earth, water will rise in the capillary tube up to a height of

1 $0.1 \mathrm{~m}$
2 $0.2 \mathrm{~m}$
3 $0.98 \mathrm{~m}$
4 None of these
Mechanical Properties of Fluids

142949 Two capillary tubes of same diameter are put vertically one each in two liquids whose relative densities are 0.8 and 0.6 and surface tensions are 60 and 50 dyne/cm respectively. Ratio of heights of liquids in the two tubes, $h_{1} / h_{2}$ is

1 $\frac{10}{9}$
2 $\frac{3}{10}$
3 $\frac{10}{3}$
4 $\frac{9}{10}$
Mechanical Properties of Fluids

142950 Radius of a capillary is $2 \times 10^{-3} \mathrm{~m}$. A liquid of weight $6.28 \times 10^{-4} \mathrm{~N}$ may remain in the capillary, then the surface tension of liquid will be

1 $5 \times 10^{-3} \mathrm{~N} / \mathrm{m}$
2 $5 \times 10^{-2} \mathrm{~N} / \mathrm{m}$
3 $5 \mathrm{~N} / \mathrm{m}$
4 $50 \mathrm{~N} / \mathrm{m}$
Mechanical Properties of Fluids

142951 Water rises to a height $h$ in a capillary at the surface of earth. On the surface of the moon, So, the height of water column in the same capillary will be

1 $6 \mathrm{~h}$
2 $\frac{1}{6} \mathrm{~h}$
3 $\mathrm{h}$
4 zero
Mechanical Properties of Fluids

142947 Water rises up in a glass capillary up to a height of $9 \mathrm{~cm}$, while mercury falls down by 3.4 $\mathrm{cm}$ in the same capillary. Assume the angles of contact for water-glass and mercury-glass are $0^{\circ}$ and $135^{\circ}$, respectively. The ratio of surface tensions of mercury and water is $\left(\right.$ Take, $\cos 135^{\circ}$ $=-0.71$ )

1 $8.1: 1$
2 $3.6: 1$
3 $7.2: 1$
4 $8.9: 1$
Mechanical Properties of Fluids

142948 In a surface tension experiment with a capillary tube water rises up to $0.1 \mathrm{~m}$. If the same experiment is repeated an artificial satellite which is revolving around the earth, water will rise in the capillary tube up to a height of

1 $0.1 \mathrm{~m}$
2 $0.2 \mathrm{~m}$
3 $0.98 \mathrm{~m}$
4 None of these
Mechanical Properties of Fluids

142949 Two capillary tubes of same diameter are put vertically one each in two liquids whose relative densities are 0.8 and 0.6 and surface tensions are 60 and 50 dyne/cm respectively. Ratio of heights of liquids in the two tubes, $h_{1} / h_{2}$ is

1 $\frac{10}{9}$
2 $\frac{3}{10}$
3 $\frac{10}{3}$
4 $\frac{9}{10}$
Mechanical Properties of Fluids

142950 Radius of a capillary is $2 \times 10^{-3} \mathrm{~m}$. A liquid of weight $6.28 \times 10^{-4} \mathrm{~N}$ may remain in the capillary, then the surface tension of liquid will be

1 $5 \times 10^{-3} \mathrm{~N} / \mathrm{m}$
2 $5 \times 10^{-2} \mathrm{~N} / \mathrm{m}$
3 $5 \mathrm{~N} / \mathrm{m}$
4 $50 \mathrm{~N} / \mathrm{m}$
Mechanical Properties of Fluids

142951 Water rises to a height $h$ in a capillary at the surface of earth. On the surface of the moon, So, the height of water column in the same capillary will be

1 $6 \mathrm{~h}$
2 $\frac{1}{6} \mathrm{~h}$
3 $\mathrm{h}$
4 zero
Mechanical Properties of Fluids

142947 Water rises up in a glass capillary up to a height of $9 \mathrm{~cm}$, while mercury falls down by 3.4 $\mathrm{cm}$ in the same capillary. Assume the angles of contact for water-glass and mercury-glass are $0^{\circ}$ and $135^{\circ}$, respectively. The ratio of surface tensions of mercury and water is $\left(\right.$ Take, $\cos 135^{\circ}$ $=-0.71$ )

1 $8.1: 1$
2 $3.6: 1$
3 $7.2: 1$
4 $8.9: 1$
Mechanical Properties of Fluids

142948 In a surface tension experiment with a capillary tube water rises up to $0.1 \mathrm{~m}$. If the same experiment is repeated an artificial satellite which is revolving around the earth, water will rise in the capillary tube up to a height of

1 $0.1 \mathrm{~m}$
2 $0.2 \mathrm{~m}$
3 $0.98 \mathrm{~m}$
4 None of these
Mechanical Properties of Fluids

142949 Two capillary tubes of same diameter are put vertically one each in two liquids whose relative densities are 0.8 and 0.6 and surface tensions are 60 and 50 dyne/cm respectively. Ratio of heights of liquids in the two tubes, $h_{1} / h_{2}$ is

1 $\frac{10}{9}$
2 $\frac{3}{10}$
3 $\frac{10}{3}$
4 $\frac{9}{10}$
Mechanical Properties of Fluids

142950 Radius of a capillary is $2 \times 10^{-3} \mathrm{~m}$. A liquid of weight $6.28 \times 10^{-4} \mathrm{~N}$ may remain in the capillary, then the surface tension of liquid will be

1 $5 \times 10^{-3} \mathrm{~N} / \mathrm{m}$
2 $5 \times 10^{-2} \mathrm{~N} / \mathrm{m}$
3 $5 \mathrm{~N} / \mathrm{m}$
4 $50 \mathrm{~N} / \mathrm{m}$
Mechanical Properties of Fluids

142951 Water rises to a height $h$ in a capillary at the surface of earth. On the surface of the moon, So, the height of water column in the same capillary will be

1 $6 \mathrm{~h}$
2 $\frac{1}{6} \mathrm{~h}$
3 $\mathrm{h}$
4 zero
Mechanical Properties of Fluids

142947 Water rises up in a glass capillary up to a height of $9 \mathrm{~cm}$, while mercury falls down by 3.4 $\mathrm{cm}$ in the same capillary. Assume the angles of contact for water-glass and mercury-glass are $0^{\circ}$ and $135^{\circ}$, respectively. The ratio of surface tensions of mercury and water is $\left(\right.$ Take, $\cos 135^{\circ}$ $=-0.71$ )

1 $8.1: 1$
2 $3.6: 1$
3 $7.2: 1$
4 $8.9: 1$
Mechanical Properties of Fluids

142948 In a surface tension experiment with a capillary tube water rises up to $0.1 \mathrm{~m}$. If the same experiment is repeated an artificial satellite which is revolving around the earth, water will rise in the capillary tube up to a height of

1 $0.1 \mathrm{~m}$
2 $0.2 \mathrm{~m}$
3 $0.98 \mathrm{~m}$
4 None of these
Mechanical Properties of Fluids

142949 Two capillary tubes of same diameter are put vertically one each in two liquids whose relative densities are 0.8 and 0.6 and surface tensions are 60 and 50 dyne/cm respectively. Ratio of heights of liquids in the two tubes, $h_{1} / h_{2}$ is

1 $\frac{10}{9}$
2 $\frac{3}{10}$
3 $\frac{10}{3}$
4 $\frac{9}{10}$
Mechanical Properties of Fluids

142950 Radius of a capillary is $2 \times 10^{-3} \mathrm{~m}$. A liquid of weight $6.28 \times 10^{-4} \mathrm{~N}$ may remain in the capillary, then the surface tension of liquid will be

1 $5 \times 10^{-3} \mathrm{~N} / \mathrm{m}$
2 $5 \times 10^{-2} \mathrm{~N} / \mathrm{m}$
3 $5 \mathrm{~N} / \mathrm{m}$
4 $50 \mathrm{~N} / \mathrm{m}$
Mechanical Properties of Fluids

142951 Water rises to a height $h$ in a capillary at the surface of earth. On the surface of the moon, So, the height of water column in the same capillary will be

1 $6 \mathrm{~h}$
2 $\frac{1}{6} \mathrm{~h}$
3 $\mathrm{h}$
4 zero
Mechanical Properties of Fluids

142947 Water rises up in a glass capillary up to a height of $9 \mathrm{~cm}$, while mercury falls down by 3.4 $\mathrm{cm}$ in the same capillary. Assume the angles of contact for water-glass and mercury-glass are $0^{\circ}$ and $135^{\circ}$, respectively. The ratio of surface tensions of mercury and water is $\left(\right.$ Take, $\cos 135^{\circ}$ $=-0.71$ )

1 $8.1: 1$
2 $3.6: 1$
3 $7.2: 1$
4 $8.9: 1$
Mechanical Properties of Fluids

142948 In a surface tension experiment with a capillary tube water rises up to $0.1 \mathrm{~m}$. If the same experiment is repeated an artificial satellite which is revolving around the earth, water will rise in the capillary tube up to a height of

1 $0.1 \mathrm{~m}$
2 $0.2 \mathrm{~m}$
3 $0.98 \mathrm{~m}$
4 None of these
Mechanical Properties of Fluids

142949 Two capillary tubes of same diameter are put vertically one each in two liquids whose relative densities are 0.8 and 0.6 and surface tensions are 60 and 50 dyne/cm respectively. Ratio of heights of liquids in the two tubes, $h_{1} / h_{2}$ is

1 $\frac{10}{9}$
2 $\frac{3}{10}$
3 $\frac{10}{3}$
4 $\frac{9}{10}$
Mechanical Properties of Fluids

142950 Radius of a capillary is $2 \times 10^{-3} \mathrm{~m}$. A liquid of weight $6.28 \times 10^{-4} \mathrm{~N}$ may remain in the capillary, then the surface tension of liquid will be

1 $5 \times 10^{-3} \mathrm{~N} / \mathrm{m}$
2 $5 \times 10^{-2} \mathrm{~N} / \mathrm{m}$
3 $5 \mathrm{~N} / \mathrm{m}$
4 $50 \mathrm{~N} / \mathrm{m}$
Mechanical Properties of Fluids

142951 Water rises to a height $h$ in a capillary at the surface of earth. On the surface of the moon, So, the height of water column in the same capillary will be

1 $6 \mathrm{~h}$
2 $\frac{1}{6} \mathrm{~h}$
3 $\mathrm{h}$
4 zero