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UNITS AND MEASUREMENT                                                                       23

                                          Table 2.5   Range and order of time intervals
































                closer to the true value) but less precision (its    of a human body, a thermometer placed
                resolution is only 0.1 cm), while the                under the armpit will always give a
                second measurement is less accurate but              temperature lower than the actual value of
                more precise. Thus every measurement is              the body temperature. Other external
                approximate due to errors in measurement. In         conditions (such as changes in temperature,
                general, the errors in measurement can be            humidity, wind velocity, etc.) during the
                broadly classified as (a) systematic errors and      experiment may systematically affect the
                (b) random errors.                                   measurement.
                                                                 (c) Personal errors that arise due to an
                Systematic errors
                                                                     individual’s bias, lack of proper setting of
                The  systematic errors are those errors that         the apparatus or individual’s carelessness
                tend to be in one direction, either positive or      in taking observations without observing
                negative. Some of the sources of systematic          proper precautions, etc. For example, if you,
                errors are :                                         by habit, always hold your head a bit too far
                (a) Instrumental errors   that arise from the        to the right while reading the position of a
                   errors due to imperfect design or calibration     needle on the scale, you will introduce an
                   of the measuring instrument, zero error in        error due to parallax.
                   the instrument, etc. For example, the             Systematic errors can be minimised by
                   temperature graduations of a thermometer      improving experimental techniques, selecting
                   may be inadequately calibrated (it may read   better instruments and removing personal bias
                   104 °C at the boiling point of water at STP   as far as possible. For a given set-up, these
                   whereas it should read 100 °C); in a vernier  errors may be estimated to a certain extent and
                   callipers the zero mark of vernier scale may  the necessary corrections may be applied to the
                   not coincide with the zero mark of the main   readings.
                   scale, or simply an ordinary metre scale may
                   be worn off at one end.                       Random errors
                (b) Imperfection in experimental technique       The random errors are those errors, which occur
                   or procedure To determine the temperature     irregularly and hence are random with respect









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