Page 109 - Physics - XI
P. 109

(c) Measurement of internal diameter of capillary tube

          14. Place the capillary tube horizontally on the adjustable stand.
          15. Focus the microscope on a fi ne hole of the tube and measure its internal diameter in two mutually
              perpendicular directions PQ and RS as shown in Fig. 4.5. Repeat this procedure to fi nd out the internal
              diameters of the other two capillary tubes.

          16. Record all the observations in the observation tables.

          Observations

          Least count of the travelling microscope = L.C. = ______ cm

                         Table for calculation of height of the water risen in the capillary tubes

          S. No. of       Reading of water meniscus              Reading of the tip of the needle      h = h  – h
         Capillary                                                                                           1    2
            tube     Main scale  No. of V.S.       Total        Main     No. of V.S.  Total reading
                       reading      division      reading       scale      division         h  =
                                                                                             2
                          A        coinciding h  = (A + n ×  reading     coinciding      (A′ + n′ ×
                                                 1
                                       'n'         L.C.)         A′           n′           L.C. )
                        (cm)                        (cm)        (cm)                       (cm)           (cm)

             1.
             2.

             3.

                             Table for calculation of internal diameter of the capillary tubes

         S. No. of      Microscope reading (cm)         Horizontal      Vertical        Mean         Mean radius
         Capillary                                       diameter      diameter       diameter              d
            tube       P        Q       R        S        d  = PQ       d  = RS          d+ d            r =  2
                                                           1             2           d =   1   2
                                                                                            2            (cm)
                                                           (cm)          (cm)           (cm)

             1.
             2.

             3.

          Temperature of the water = t°C = ______ °C

          Density of the water at temperature t°C = ρ = ______ g cm   –3

          Calculations
          We have the relation

                                               r
                                         rh          g

                                    T =        3      = ______ dynes/cm = ______ × 10  Nm      –1
                                                                                         –3
                                              2
          Now, substitute the values of h and r for each capillary and calculate the value of T.

                     Mean value of T =   T +  1  T +  2  T 3   = ______ dynes/cm = ______ Nm –1
                                             3
                                                                                                             107
   104   105   106   107   108   109   110   111   112   113   114