callipers' jaws are used for measuring"                                   low cylinder
dnouot
        Ane thin metallic strip attached to the back side of the main scale is ue                   der or acalom
                                                                                           used for o
        of a vessel.
   13. Can we measure the thickness of a piece of paper by vernier callin.         rnier callipers?
                                                                                                      measurng
 Ans. No.
                                                   laboratory Vernier         Callipers?
Q.14.   What is the least count of your
 Ans. The least count is 0.01      cm.
                          vernier         ?
Q.15. What is a n angular
                                  used for measuring fraction of         degree of
                                                                          a                     .
 Ans. An    angular vernier is
                                                                                        an
                                                                                             angle. It is
        sextants   and spectrometers,
                                         which m e a s u r e angular displacements.                         provide
                                          EXPERIMENT 2
 AIM: To measure diameter of a given wire using screw gauge.
 APPARATUs
        Screw gauge, wire, half-metre scale and       magnifying lens.
 THEORY
        If with the wire between plane faces A and B, the          edge of the cap lies ahead of Nth divigice
        linear scale, then, linear scale reading (L.S.R.) = N.
        If nth division of circular scale lies           over    reference line, then, circular scale
                                                                                                      rea
        (C.S.R)= nx (L.C.) (L.C. is least count of screw gauge)
                        Total reading (T.R.) = L.S.R. + C.S.R. = N+n x (L.C.).
        IfD be the   mean   diameter and Ibe the mean        length of the wire,
                       volume of the wire, VV=
DIAGRAM
                                Wire
                         AB                    N
                                                     H
                                                             E
                                                         E                    K
                            Fig. Screw
                                       gauge   measuring diameter of the wire.
Measurementof Length
PROCEDURE
                                                                                                              41
        Find the value of one linear scale
                                                      division (L.S.D.).
        Dotermine      the pitch
                                   and the least count of the screw
        Rring the plane face B in contact with               gauge and record it
                                               plane face A and find the zero
                                                                                 stepwise.
        and record them. there is no
                          If                                                  error. Do it three times
                                       zero             error, then record zero
        Move the face B away                                                      error as nil.
                                    from face A. Place the wire
        towards face A using the ratchet head R.                      lengthwise over face A and move the faceB
                                                              Stop when R turns (slips) without
        Note the number of divisions of the                                                     moving the screw.
                                                linear scale visible and
        The reading (N) is called lHinear scale                          uncovered by the edge of the
                                                         reading (L.S.R.).                            cap
        Note the      number (n) of the division of
                                                           the circular scale
        Repeat steps      5 and 6 after                                       lying over reference line.
                                              rotating the wire by 90° for
        direction.                                                           measuring diameter in a perpendicular
  8. Repeat steps 4, 5, 6 and 7 for five different
        of the wire. Record the
                                                positions separated equally throughout the length
                            observations in each set in a tabular form.
  9. Find total reading and apply zero correction in
                                                     each case.
 10. Take mean of different values of diameter.
 11. Measure the length of the wire by stretching it
                                                            along a half-metre scale. Keeping one end of
        wire at   known mark, note the
                  a
                                          position other end. Difference in position of the two ends
                                                   of
        of the wire gives the length of the wire. Do
                                                      it three times and record them.
OBSERVATIONS
   1.   Determination of Least Count of the                    Screw   Gauge
                                               1 L.S.D. = 1 mm
        Number of full rotations given to screw =4
        Distance moved by the screw =4 mm
                                        4 mm
        Hence, pitchp-             =.            1    mm
                                         4
        Number of divisions on circular scale = 100
                                        1 mm
        Hence, least count,= 100                 = 0.01 mm = 0.001 cm.
   2.   Zero Error.                                             (1u)...    mm.
                          (i).. mm,            (11)     mm,
         Mean zero error (e) = .... mmn
        ean zero correction (¢) - e =..mm.=
2
                                                                                    Comrehenstue Practical Physir
        3. Table for diameter (D)
                                                  Crcular Scale Reading
                                                                                                              ysics
                                                                                                  Total Readin
                           Linear Scale                                  Value
        Serial No. of
                            Readtng (N)
                                              No. ofCircular
                                             Scale division on         In x(L.C)]
                                                                                          Observed
                                                                                                            D-CorDrectel
    Obeervations              (mm)            refevence Hne
                                                                                          D N+n
                                                                                              xL.C.
                                                                         (mm)                 (mm)
(a) AB                                                                                                    D,la
    1
    C6)D                                                                                                 D,6)
    (a)AB                                                                                                D,la
    2
                                                                                                          D, (b)=
    (a) AB
    3
                                                                                                          D,6)
CALCULATIONS
             Length of the wire, I = (i)... cm,       i ) . . . m,      (ii)... cm.
             Mean diameter of the    wire,
                                                   D= P,a)+D,(6)t. . + D,(a) + D, (6)
                                                                               6
                                                         ..... m m =   ...... Cm
             Mean length of the wire,
                                                   1              .     Cm
                                                              3
             Volume of the wire,
                                                   V=
                                                                       .cm3
RESULT
             The volume of
                           the   given wire is   ..
                                                      cm°.
PRECAUTIONS
        1.   To
                  avoid undue pressure; the
        2.   The screw                           screw   should always be rotated             ratchet R and
                                                                                                            not    bycap
                         should move                                                     by
                                       freely without friction.
Measurement of Length
                                                                                                        43
       he zero correction, with proper sign should be noted very carefully and added algebraicaly.
       Eor same set of observations, the screw should be moved in the same direction to avoid back
       lash error of the screw
       Ateach place, the diameter of the wire should be measured in two perpendicular directions
       and then the mean of the two be taken.
       Readings should be taken atleast for five different places equally spaced along the whole length
       of the wire.
       Error due to parallax should be avoided.
SOURCES OF ERROR
       The screw may have friction.
       The screw gauge may have back-lash error.
       Circular scale divisions may not be of equal size.
  4.   The wire may       not be   uniform.
                                             EXPERIMENT 2A
AIM: To measure thickness of a given sheet using screw gauge.
APPARATUS
       Screw gauge, sheet (it must be rigid) and magnifying lens.
THEORY
       Same as in Experiment 2.
PROCEDURE
                 to 6                 in   Experiment   2.
       Steps 1          are same as
                                                                                  the surface of the sheet.
       Repeat steps 4, 5, 6 for 5 different positions spread equally throughout
       Record observation in tabular form.
                                                             in each   case.
       Find total   reading and apply zero correction
        Take   mean     of different values of thickness.
OBSERVATIONS
   .   Determination of least count of the screw gauge.
        Same as in Experiment 2.
   2. Zero Error.
        Same as in Experiment 2.
44                                                                                    kenstve Practical Phiysies
         Table for the thickness (t)
                                                     Circular Scale Reading
                           Linear Scale
       Serial                                                                                Total Reading
         No.               Reading (N            No. of Circular        Value
                                                                                     Observed
                                 (m)             Scale division on   In x (L.C.
                                                                                                         ttCorrectal
                                                                                     t N+n
     Observations                                 reference Hne
                                                                                        L.C.
                                                       (n)              (mm)           (mm)
            1.
                                                                                                             mm
                                                                                                             t
            3.
     CALCULATIONS
         1. Find value of t for each observation and write the observed value t, in column(4)
               Write corrected value oft in column (4b).
        3. Find mean of values of t recorded in column (4b).
                 Mean thickness of the sheet, t =            Gtt+t     mm.
                                                              4
      RESULT
                 The thickness of the given sheet is..       mm.
      PRECAUTIONS
                 Same as in Experiment 2.
      SOURCEs OF ERROR
                 Same as in
                            Experiment 2.
                                                     EXPERIMENT 3
       AIM: To determine
                                  volume of an
                                                  irregular lamina using screw gauge.
        APPARATUUS
        a pencil. crew gauge, an irregular lamina (it must be of                                       netregraphpap
                                                                       uniform thickness),   a
                                                                                                 cen
        THEORY
                    Same as in
                                 Experiment 2.