Surface Tension
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361147 A long capillary tube of radius \(0.2\,\;mm\) is placed vertically inside a beaker of water. The surface tension of water is \(7 \times {10^{ - 2}}\;N/m\) and the angle of contact between glass and water is zero, if the tube is pushed into water so that only 5.0 \(cm\) of its length is above the surface, then determine the angle of contact between the liquid and glass surface.

1 \(\cos ^{-1}\left(\dfrac{4}{5}\right)\)
2 \(\cos ^{-1}\left(\dfrac{5}{7}\right)\)
3 \(\cos ^{-1}\left(\dfrac{3}{5}\right)\)
4 \(\cos ^{-1}\left(\dfrac{5}{4}\right)\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361148 Water rises to a height of \(100\,\;cm\) in a capillary tube and mercury falls to a depth of \(3.42\,\;cm\) in the same capillary tube. If the density of mercury is \(13.6\;g/c{m^3}\) and the angles of contact for mercury and water are \(135^{\circ}\) and \(0^{\circ}\) respectively, the ratio of the surface tension for water and mercury is

1 \(1: 0.15\)
2 \(1: 3\)
3 \(1: 6.5\)
4 \(1.5: 1\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361149 Two capillary tubes of different diameters are dipped in water. The rise of water is

1 the same in both tubes
2 greater in the tube of larger diameter
3 greater in the tube of smaller diameter
4 independent of the diameter of the tube
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361150 Two capillary tubes \(A\) and \(B\) of diameter \(1\;mm\) and \(2\;mm\) respectively are dipped vertically in a liquid. If the capillary rise in \(A\) is \(6\;mm\), then the capillary rise in \(B\) is

1 \(2\;cm\)
2 \(3\;cm\)
3 \(4\;cm\)
4 \(6\;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361147 A long capillary tube of radius \(0.2\,\;mm\) is placed vertically inside a beaker of water. The surface tension of water is \(7 \times {10^{ - 2}}\;N/m\) and the angle of contact between glass and water is zero, if the tube is pushed into water so that only 5.0 \(cm\) of its length is above the surface, then determine the angle of contact between the liquid and glass surface.

1 \(\cos ^{-1}\left(\dfrac{4}{5}\right)\)
2 \(\cos ^{-1}\left(\dfrac{5}{7}\right)\)
3 \(\cos ^{-1}\left(\dfrac{3}{5}\right)\)
4 \(\cos ^{-1}\left(\dfrac{5}{4}\right)\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361148 Water rises to a height of \(100\,\;cm\) in a capillary tube and mercury falls to a depth of \(3.42\,\;cm\) in the same capillary tube. If the density of mercury is \(13.6\;g/c{m^3}\) and the angles of contact for mercury and water are \(135^{\circ}\) and \(0^{\circ}\) respectively, the ratio of the surface tension for water and mercury is

1 \(1: 0.15\)
2 \(1: 3\)
3 \(1: 6.5\)
4 \(1.5: 1\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361149 Two capillary tubes of different diameters are dipped in water. The rise of water is

1 the same in both tubes
2 greater in the tube of larger diameter
3 greater in the tube of smaller diameter
4 independent of the diameter of the tube
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361150 Two capillary tubes \(A\) and \(B\) of diameter \(1\;mm\) and \(2\;mm\) respectively are dipped vertically in a liquid. If the capillary rise in \(A\) is \(6\;mm\), then the capillary rise in \(B\) is

1 \(2\;cm\)
2 \(3\;cm\)
3 \(4\;cm\)
4 \(6\;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361147 A long capillary tube of radius \(0.2\,\;mm\) is placed vertically inside a beaker of water. The surface tension of water is \(7 \times {10^{ - 2}}\;N/m\) and the angle of contact between glass and water is zero, if the tube is pushed into water so that only 5.0 \(cm\) of its length is above the surface, then determine the angle of contact between the liquid and glass surface.

1 \(\cos ^{-1}\left(\dfrac{4}{5}\right)\)
2 \(\cos ^{-1}\left(\dfrac{5}{7}\right)\)
3 \(\cos ^{-1}\left(\dfrac{3}{5}\right)\)
4 \(\cos ^{-1}\left(\dfrac{5}{4}\right)\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361148 Water rises to a height of \(100\,\;cm\) in a capillary tube and mercury falls to a depth of \(3.42\,\;cm\) in the same capillary tube. If the density of mercury is \(13.6\;g/c{m^3}\) and the angles of contact for mercury and water are \(135^{\circ}\) and \(0^{\circ}\) respectively, the ratio of the surface tension for water and mercury is

1 \(1: 0.15\)
2 \(1: 3\)
3 \(1: 6.5\)
4 \(1.5: 1\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361149 Two capillary tubes of different diameters are dipped in water. The rise of water is

1 the same in both tubes
2 greater in the tube of larger diameter
3 greater in the tube of smaller diameter
4 independent of the diameter of the tube
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361150 Two capillary tubes \(A\) and \(B\) of diameter \(1\;mm\) and \(2\;mm\) respectively are dipped vertically in a liquid. If the capillary rise in \(A\) is \(6\;mm\), then the capillary rise in \(B\) is

1 \(2\;cm\)
2 \(3\;cm\)
3 \(4\;cm\)
4 \(6\;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361147 A long capillary tube of radius \(0.2\,\;mm\) is placed vertically inside a beaker of water. The surface tension of water is \(7 \times {10^{ - 2}}\;N/m\) and the angle of contact between glass and water is zero, if the tube is pushed into water so that only 5.0 \(cm\) of its length is above the surface, then determine the angle of contact between the liquid and glass surface.

1 \(\cos ^{-1}\left(\dfrac{4}{5}\right)\)
2 \(\cos ^{-1}\left(\dfrac{5}{7}\right)\)
3 \(\cos ^{-1}\left(\dfrac{3}{5}\right)\)
4 \(\cos ^{-1}\left(\dfrac{5}{4}\right)\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361148 Water rises to a height of \(100\,\;cm\) in a capillary tube and mercury falls to a depth of \(3.42\,\;cm\) in the same capillary tube. If the density of mercury is \(13.6\;g/c{m^3}\) and the angles of contact for mercury and water are \(135^{\circ}\) and \(0^{\circ}\) respectively, the ratio of the surface tension for water and mercury is

1 \(1: 0.15\)
2 \(1: 3\)
3 \(1: 6.5\)
4 \(1.5: 1\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361149 Two capillary tubes of different diameters are dipped in water. The rise of water is

1 the same in both tubes
2 greater in the tube of larger diameter
3 greater in the tube of smaller diameter
4 independent of the diameter of the tube
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361150 Two capillary tubes \(A\) and \(B\) of diameter \(1\;mm\) and \(2\;mm\) respectively are dipped vertically in a liquid. If the capillary rise in \(A\) is \(6\;mm\), then the capillary rise in \(B\) is

1 \(2\;cm\)
2 \(3\;cm\)
3 \(4\;cm\)
4 \(6\;cm\)