Surface Tension: Causes, Examples and Dimensions

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Jasmine Grover

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Surface Tension is the tendency of a fluid to shrink into a minimum surface area. It is based on the principle that the molecules of the liquid at the surface area are in a different state than those in the center of the liquid. Surface tension allows objects with a higher density than water such as insects and razor blades to float on the water surface. It depends on the composition of the vapor phase. The surface tension of liquids has many important roles in daily life and also different industrial processes such as rounding off the sharp edges of glass using heat.

Key Terms: Surface Tension, Pressure, unit of surface tension, intermolecular forces, vapor phase, surface tension formula, fluid, fluid flow


What is Surface Tension?

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Surface Tension is the phenomenon that acts on the surface of the liquid due to the attraction of the particles of the surface area by the underlying particles in the interior that tends to minimize the surface area.

  • In a liquid, the interior molecules are surrounded by other molecules on all four sides.
  • They face an equal attraction from all these sides, therefore the net attracting force acting on it becomes zero.
  • However, the molecules on the surface are surrounded by the other molecules on three sides.
  • Therefore it experiences more attraction from the molecules below than those lying in the vapor phase.
  • As a result of this, it gets pulled inward and tension is created. This is known as surface tension.
  • It depends upon the forces of attraction between particles within the given liquid, gas, or solid that is in contact with it. 
  • Surface tension occurs when the surface of a liquid is in contact with a gas and acts as a thin elastic sheet
Surface tension of a Liquid

Surface tension of a Liquid


Read More: 

Surface Tension – Related Concepts
Fluid Pressure Difference between stress and pressure Stokes’ Law
Surface Energy Value of R in atm Barometer
Critical Velocity Different Properties of Fluids Unit of Pressure

Causes of Surface Tension

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Surface Tension is caused by the intermolecular force of the liquid particles such as the Van der Waals force. The molecules at the surface are pulled towards the bottom of the liquid. 

  • A molecule is tugged in all directions equally by neighboring liquid molecules due to cohesive forces, resulting in a net force of zero.
  • As the molecules near the surface are not surrounded by identical molecules on all sides, they are pushed inward.
  • This causes internal pressure which further causes the liquid surfaces to compress to the smallest possible area.
  • Due to the cohesive structure of water molecules, there is also a tension parallel to the surface that will resist an external force.
Surface tension in a water droplet
Surface tension in a water droplet
  • The forces of attraction that operate between molecules of the same kind are known as cohesive forces, while the forces that act between molecules of different types are known as adhesive forces. 
  • The form of liquid droplets is determined by surface tension.
  • The imbalance in cohesive forces of the surface layer tends to draw droplets of water into a spherical shape, despite their ease of deformation.
  • Drops of almost all liquids would be roughly spherical in the absence of additional forces. 

Surface Tension Formula

Surface Tension is given by the ratio of the surface force (F) to the length of the force acting (L). The surface tension formula can be expressed as:

T = F/L

where,

  • F - force per unit length
  • L - length of the acting force
  • T - surface tension
Surface Tension Forces

Surface Tension Forces

Calculating Surface Tension – Solved Example

Find the surface tension of a given liquid with 8N dragging force acting on 2m length.

Solution: Given, F = 8 N, L = 2 m

According to the surface tension formula,

T = F/L

 T = 8/2

 T = 4 N/m

Read Also: Reynolds Number


Unit of Surface Tension

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The SI surface tension unit is Newton per Meter, also expressed as N/m. The CGS unit is dyne/cm

SI Unit CGS Unit
N/m Dyn/cm

Examples of Surface Tension

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Some of the examples of surface tension include –

Drops of Water

The shape of the drops is due to the surface tension of the water. Liquid drops are spherical because a sphere has the smallest surface area for a given volume. The force of gravity pulls down on the drop and therefore, the shape of the drop of water isn't completely spherical. In the absence of gravity, the drop would minimize the surface area in order to minimize tension, which would result in a perfectly spherical shape of the droplet.

Needle Floating on Water

Even though the density of the needle or a paper clip is greater than the water, the surface tension along the depression is enough to counteract the gravitational force that pulls down on the metal object.

Surface Tension and Water

 Surface Tension and Water

Insects Walk on Water

Several insects such as the water strider are able to walk on water. Their legs cause the surface of the liquid to become depressed, which minimizes the potential energy in order to create a balance of forces so the strider can move across the water surface without breaking it. 

Some of the other applications of surface tension include – 

  • Jaundice - Clinical examinations and tests.
  • When clothes are washed in soap or detergents, it lowers the surface tension of water.
  • The Waterproof material for tents doesn’t allow water to seep into the tents, as the surface tension of the water bridges the pores in the tent material. 

Read More: Young's Modulus


Dimensional Formula of Surface Tension

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The formula of Surface tension = F/L

Also, we know that Force = ma

Putting this value in the equation, we get Surface Tension = ma/L

Therefore, we get MLT-2L-1

On solving it further, we get MT-2

So, the dimensional formula for surface tension is MT-2.

Read More: Bulk Modulus


Methods of Measuring Surface Tension

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There are different methods of measuring Surface Tension. They are:

  • Levitated drops’ vibrational frequency
  • Wilhelmy plate method
  • Spinning drop method
  • Du Noüy–Paddy method
  • Du Noüy ring method
  • Capillary rise method
  • Spherical resonant oscillations & hemispherical liquid drop
  • Stalagmometric method
  • Pendant drop method
  • Sessile drop method
  • Bubble pressure method

Read More:

Mechanical Properties of Fluids – Important Concepts
Elastic Limit  Mechanical Properties of Fluids  Viscosity
Fluid Friction Derivation of Continuity Equation Unit of Viscosity
Buoyant Force Mechanical Properties of Solid Poisson’s Ratio
Shearing Stress Pascal’s Law Hydraulic Machines
Hydrostatic Paradox Bernoulli’s principle Venturi-meter

Things to Remember

  • Surface Tension is the tension that acts on the surface of the liquid to minimize the surface area due to the intermolecular force of the liquid particles such as the Van der Waals force.
  • The surface tension formula can be expressed as T = F/L.
  • The SI surface tension unit is Newton per Meter.
  • Surface tension’s dimensional formula is MT-2.
  • An example of surface tension is a needle floating on the surface of the water
  • The liquid rises (or sinks) in the capillary due to surface tension.
  • The higher the surface tension, the higher will be the energy, therefore fluids take the shape with the least surface area to save energy.

Previous Year Questions

  1. A ball whose density is 0.4×103kg/m3 falls into the water from a height of 9cm… [BITSAT 2007]
  2. A boat with scrap iron in it is floating in a small tank of water… [JIPMER 1998]
  3. The cylindrical tube of a spray pump has a radius of R… [NEET 2015]
  4. A small spherical ball falling through a viscous medium of negligible density… [KEAM]
  5. Fluid is in streamlined flow across a horizontal pipe of the variable area of cross… [NEET 2013]
  6. A small hole of the area of cross-section 2mm2 is present near the bottom of a fully… [NEET 2019]
  7. A soap bubble, having a radius of 1mm, is blown from a detergent solution having… [NEET 2019]
  8. A liquid is filled up to a height of 20cm in a cylindrical vessel… [KEAM]
  9. A small sphere of radius ′r′ falls from rest in a viscous liquid… [NEET 2018]
  10. A rectangular film of liquid is extended from… [NEET 2016]
  11. Water rises to a height h in a capillary tube… [NEET 2015]
  12. A certain number of spherical drops of a liquid of radius… [NEET 2014]
  13. The force acting on a window of area 50cm×50cm of a submarine at a depth… [KEAM]
  14. A spherical ball of diameter 1cm and density… [KEAM]
  15. Ice pieces are floating in a beaker A containing water and also in a beaker… [KEAM]

Sample Questions 

Ques 1. Explain the phenomenon behind the rise of liquid in a capillary tube when it is dipped into a liquid in a glass. (2 marks)

Ans. When a capillary tube is dipped into a liquid that wets the glass, the liquid rises in the capillary tube up to a certain height. This is due to the inward pull of the surface tension of the liquid. The surface tension is responsible for pushing the liquid into the capillary tube.

Ques 2. Name the forces that act behind the origin of surface tension. (1 mark)

Ans. The forces that act behind the surface tension are cohesive and adhesive forces.

Ques 3. Give the surface tension of water at its boiling point. (1 mark)

Ans. The surface tension of water is zero at its boiling point.

Ques 4. Give the dimensional formula for Surface Tension. (1 mark)

Ans. The dimensional formula for the surface tension is MT-2.

Ques 5. What is the reason for the spherical shape of the raindrop? (1 mark) 

Ans. The raindrops are spherical in shape due to the cohesive force that lies between the molecules of the liquid and its surface tension.

Ques 6. What is surface tension? Give a few examples. (5 marks)

Ans. The tension that acts on the surface of the liquid due to the attraction of the surface area by the underlying particles in the interior of the liquid tends to minimize the surface area.

Examples:

  • It gives the shape of droplets to the liquid.
  • Water bubbles are formed as the surface tension of water provides the wall for its formation.
  • Small light insects walk on the water surface.
  • The waterproof material of tents.

Ques 7. With the rise in temperature, the surface tension of a liquid (1 Mark)
(a) decreases (b) increases
(c) remaining the same (d) none of the above

Ans: (a) decreases

Ques 8. The cleansing action of soaps and detergents is due to (1 Mark)
(a) internal friction (b) high hydrogen bonding
(c) viscosity (d) surface tensions

Ans: (d) surface tension

Ques 9. What is surface tension? What is its S.I unit? (1 Mark)

Ans: Surface tension is defined as the force acting per unit length perpendicular to the line drawn on the surface of the liquid. The S.I unit of surface tension is Nm-1.

Ques 10. How does surface tension change when the temperature is raised? (1 Mark)

Ans: The surface tension of the liquid decreases as the temperature is raised. Also, when the temperature is decreased, the surface tension is increased. 

Ques 11. (a) Why does the sharpened edge become smooth on heating up to a melting point?
(b) Why falling liquid drops are spherical? (2 Marks)

Ans: (a) On heating the glass, the glass melts and take up a rounded shape at the edges which have minimum surface area because of surface tension. 

(b) We know that the surface area of a sphere is minimum. In order to have minimum surface area drops of the liquid become spherical when dropped from a height.

Ques 12. What happens if a liquid is heated to the critical temperature of its vapors? (2 Marks)

Ans: If a liquid is heated to the critical temperature of its vapors, the meniscus between the liquid and the vapor disappears. Due to this, the surface tension of the liquid becomes zero.

Ques 13. Is there any effect of the nature of a liquid and temperature on the surface tension of a liquid? (2 Marks)

Ans: Effect of the nature of a liquid and temperature on the surface tension of the liquid. 

  1. Surface tension arises due to the intermolecular forces of attraction among the molecules of the liquid.
  2. The surface tension of the liquids generally decreases as the temperature increases and it becomes zero at the critical temperature.

Ques 14. (a) What do you mean by the surface tension of a liquid?
(b) Explain the factors which can affect the surface tension of a liquid. (2 Mark)

Ans:  (a) Surface tension: It is defined as the force acting per unit length perpendicular to the line drawn on the surface. The SI unit of surface tension is Nm-1.

(b) Surface tension of a liquid depends on the following factors.

(i) Temperature: Surface tension decreases as the temperature increases. When the temperature of liquid increases, the average kinetic energy of the molecules increases. Thus, there is a decrease in the intermolecular force of attraction which results in a decrease in surface tension.

(ii) Nature of the liquid: Greater the magnitude of intermolecular forces of attraction in the liquid more will be the value of surface tension.

Ques 15. a) Why are water bottles kept underwater during summer?
(b) Which property of liquid is responsible for the spherical shape of the drop?
(c) Why is moist air lighter than dry air?
(d) Define aqueous tension.
(e) What are units of a and b – van der Waal’s constants? (5 Marks)

Ans: (a) Water bottles are kept underwater during summers to reduce the temperature. When the temperature is decreased, the pressure is reduced. If they are not kept underwater, the bottles may burst.

(b) The property of a liquid that is responsible for the spherical shape of water is Surface Tension 

(c) Moist air has water vapors which lower the density of the vapor. This is the reason why moist air is lighter than dry air.

(d) Aqueous tension is the pressure of water vapors at a given temperature.

(e) Unit of a is L2 mol-2 and unit of b is L mol-1.


Read More:

CBSE CLASS XII Related Questions

1.
Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the to charges is the electric potential zero? Take the potential at infinity to be zero.

      2.
      A boy of mass 50 kg is standing at one end of a, boat of length 9 m and mass 400 kg. He runs to the other, end. The distance through which the centre of mass of the boat boy system moves is

        • 0
        • 1 m

        • 2 m

        • 3 m

        3.
        (a) A circular coil of 30 turns and radius 8.0 cm carrying a current of 6.0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines make an angle of 60° with the normal of the coil. Calculate the magnitude of the counter torque that must be applied to prevent the coil from turning. 
        (b) Would your answer change, if the circular coil in (a) were replaced by a planar coil of some irregular shape that encloses the same area? (All other particulars are also unaltered.)

            4.
            A spherical conductor of radius 12 cm has a charge of 1.6 × 10–7C distributed uniformly on its surface. What is the electric field ?
            1. inside the sphere
            2. just outside the sphere
            3. at a point 18 cm from the centre of the sphere?

                5.
                A circular disc is rotating about its own axis at uniform angular velocity \(\omega.\) The disc is subjected to uniform angular retardation by which its angular velocity is decreased to \(\frac {\omega}{2}\) during 120 rotations. The number of rotations further made by it before coming to rest is

                  • 120
                  • 60
                  • 40
                  • 20

                  6.

                  A series LCR circuit connected to a variable frequency 230 V source. L = 5.0 H, C = 80mF, R = 40 Ω.

                  (a) Determine the source frequency which drives the circuit in resonance.

                  (b) Obtain the impedance of the circuit and the amplitude of current at the resonating frequency.

                  (c) Determine the rms potential drops across the three elements of the circuit. Show that the potential drop across the LC combination is zero at the resonating frequency

                      CBSE CLASS XII Previous Year Papers

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