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The graph between the mass of liquid inside the capillary and radius of the capillary is 

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Important Questions on Viscosity and Surface Tension

HARD
A uniform capillary tube of inner radius r is dipped vertically into a beaker filled with water. The water rises to a height h in the capillary tube above the water surface in the beaker. The surface tension of water is σ . The angle of contact between water and the wall of the capillary tube is θ . Ignore the mass of water in the meniscus. Which of the following statements is (are) true?
EASY

Two light balls are suspended as shown in figure. When a stream of air passes through the space between them, the distance between the balls will

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MEDIUM
A capillary tube of radius r is immersed in water and water rises in it to a height h. The mass of the water in the capillary is 5 g. Another capillary tube of radius 2r is immersed in water. The mass of water that will rise in this tube is:
EASY
In a capillary tube experiment, a vertical, 30 cm long capillary tube is dipped in water. The water rises upto a height of 10 cm due to capillary action. If this experiment is conducted in a freely falling elevator, the length of the water column becomes
EASY
Three liquids of densities, ρ1, ρ2 and ρ3 (with, ρ1>ρ2>ρ3), having the same value of surface tension,T , rise to the same height in three identical capillaries. The angles of contact, θ1, θ2 and θ3 obey
EASY
Water rises to a height of 15 mm in a capillary tube having cross-sectional area A. If cross-sectional area of the tube is made A3 then the water will rise to a height of
MEDIUM
A capillary tube made of glass of radius 0.15 mm is dipped vertically in a beaker filled with methylene iodide (surface tension = 0.05 N m-1, density = 667 kg m-3) which rises to height h in the tube. It is observed that the two tangents drawn from liquid-glass interfaces (from opp. sides of the capillary) make an angle of 60º with one another. Then h is close to (g=10 m s-2)
MEDIUM
Liquid A rises to a height of 10 cm in a capillary tube and liquid B falls to a depth of 2 cm in the same tube. The density of A and B are 1 g/cm3 and 10 g/cm3 respectively. The contact angle of A and B with the tube is 0° and 135° respectively. If the surface tension of A and B are SA and SB then the ratio SBSA is
MEDIUM
A capillary tube is immersed vertically in water and the height of the water column is x . When this arrangement is taken into a mine of depth d, the height of the water column is y . If R is the radius of earth, the ratio x y  is :
MEDIUM
The ratio of surface tensions of mercury and water is given to be 7.5, while the ratio of their densities is 13.6. Their contact angles, with glass, are close to 135° and 0°, respectively. If it is observed that mercury gets depressed by an amount h in a capillary tube of radius r1, while water rises by the same amount h in a capillary tube of radius r2, then the ratio r1r2 is close to
EASY

The rise of liquid in capillary is more than that of water in the same capillary. Which one of the following is the CORRECT reason?

EASY
In a capillary tube having area of cross-section A, the water rises to a height h. If the cross-sectional area is reduced to A9, the rise of water in the capillary tube is
MEDIUM
Two capillary tubes P and Q are dipped vertically in water. The height of water level in capillary tube P is 23rd of the height in capillary tube Q. The ratio of their diameter is
EASY
Water rises upto a height h in a capillary tube on the surface of the earth. The value of h increases, if the capillary tube apparatus is kept
MEDIUM
The lower end of a capillary tube is dipped into water and it is observed that the water in capillary tube rises by 7.5 cm. Find the radius of the capillary tube used, if surface tension of water is 7.5×10-2 N m-1? Angle of contact between water and glass is 0° and acceleration due to gravity is 10 m s-2.
EASY
When two capillary tubes of different diameters are dipped in liquid vertically, the rise of the liquid in the capillary tube is
MEDIUM
Water rises up in a glass capillary upto a height of 9cm, while mercury falls down by 3.4cm in the same capillary. Assume the angles of contact for water-glass and mercury-glass are 0° and 135°, respectively. The ratio of surface tensions of mercury and water is (Take, cos135°=0.71)
EASY
If 'M' is the mass of water that rises in a capillary tube of radius 'r' , then mass of water which will rise in a capillary tube of radius '2r' is:
EASY
Water rises to a height 'h' in capillary tube. If the length of capillary tube above the surface of water is made less than 'h', then:
EASY
Kerosene oil rises up in a wick of a lantern because of