Page 107 - Physics - XI
P. 107

EXPERIMENT - 4

          Aim

          To determine the surface tension of water by capillary rise method.

          Apparatus and Materials Required

            Three glass capillary tubes of diff erent diameters, travelling microscope, adjustable stand, a fl at bottom
          glass dish, clamp stand, a glass strip, a needle, thin rubber bands, a thermometer, and clean tap water
          whose surface tension is to be determined

          Principle/Theory                                                                 Clamp stand

          Surface Tension                                                                 Rubber band
          It  is  the  fundamental  property  of  a  liquid  surface.  It  is  the
          property of a liquid by virtue of which its free surface behaves
          like a stretched membrane which try to acquire the minimum                   R                      Glass
          surface area.                                                                                       plate
          Surface tension is defi ned as the force acting per unit length on            R
          either side of an imaginary line drawn on the liquid surface at
          rest. The S.I. unit of the surface tension is Nm .                                  C               Needle
                                                         –1
          Capillary tube and capillarity
                                                                             Glass
          A glass tube of very fi ne bore (very small bore) is called capillary   dish
          tube. When a capillary tube is dipped in a liquid, the liquid level
          either rises or falls in the capillary tube. The phenomenon of rise      Adjustable
          or fall of a liquid level in a capillary tube dipped in it is called       stand
          capillarity or capillary action.
          When a liquid rises in a capillary tube, the surface tension of the
          liquid is given as


                                         rh    r     g                            Fig. 4.1:  Determination of surface


                                    T =        3                                           tension by capillary rise
                                           2 cos
          For water, the value of angle of contact θ is very small.
          Hence,              cos θ ≈ 1            [θ ≈ 0; cos θ ≈ 1]

          The surface tension of water can be given as

                                         rh    r     g


                                    T =        3
                                              2
          where           T is the surface tension of water.
                          r is the radius of capillary tube.
                          h  is the rise of water in capillary tube above the free surface of the water.
                          ρ is the density of the water at room temperature.

                          g is the acceleration due to gravity.

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