Your Federal Quarterly Tax Payments are due April 15th Get Help Now >>

Scientific Investigations by tambe87


									LESSON 4 - SCIENTIFIC                                         Hypothesis
INVESTIGATIONS                                                A general statement about the relationship
                                                              between a manipulated variable and a
 When physicists observe a particular physical                responding variable.
 phenomenon they will as questions as to how
 or why it happens . A hypothesis will be put                 The hypothesis should be written as :
 forth and experiments or scientific                          The greater the………, the greater the…….
 investigations will be carried out to prove or               Or
 disprove the hypothesis. If the experiments                  The bigger the…………., the smaller the…..
 bear out the hypothesis, the hypothesis may
 come to regarded as theory or law of nature. If        Manipulated variable
 the don’t the hypothesis will be rejected or
 modified.                                              The quantity whose values we deliberately choose
 In any experiment , the report on the                  to change or a primary variable which causes other
 experiment will be based on these guidelines           secondary variable to change.
 and follows a sequence as shown in the
 following flow chart:                                  Responding variable

                                                        The quantity whose value depend on the
                                                        manipulated variable or a secondry variable
                                                        which changes in response to the change in the
                                                        manipulated variable.

                                                        Fixed variable

                                                        The quantity whose value is kept constant
                                                        throughout the experiment.


                                                        A statement to show the investigation of the
                                                        variables involve.

                                                        The aim of the experiment should be written as:
                                                        To investigate the relationship between
                                                        ………..and ………………

                                                        List the apparatus and materials used so that at
 Early assessment that is carried out to answer         least a set of data for manipulated and responding
 the questions raised.                                  variables can be determined.

 The inference should be written as :                   State the arrangement of the apparatus that can
 …………………depend on…………………….                              function by drawing a labeling diagram .
 The ……………..changes as the                              Procedure
                                                        State the method of controlling the manipulated
                                                        State the method of measuring the responding
                                                        Repeat the experiments at least four times.

Tabulating the data                                        If the data too small or too big use the standard
                                                           form number.
Record the data in the following table
                                                           For example
Manipulated variable         Responding variable            Temperature  /oC     10     20     30    40       50
                                                            Density,  / kgm-3    9.7    8.5    7.3   6.6      5.1
                                                               x 104

                                                           How to plot the graph ?

                                                           The title of the graph must be shown.
                                                           The axes of the graph must be labelled with the
Analysing the data                                         unit used.
                                                           For example:
Plot a graph of ( Responding variable) against
(Manupulated variable)

How to tabulate the data ?

The table muast be neatly drawn and the data
arranged in either and rows.
The names and symbols of the manipulated and               The scale choosen must be easy to use.
responding variables must be written together with         Scales such 1:1 , 1:2 , 1:5 ,1:10 ,1:100 are
the units.                                                 preffered in plotting a graph.
For example,                                               Odd scales such as 1:3 , 1:4 , 1: 6 , 1:7 , 1: 30
                                                           should be avoided in plotting a graph.
        Velocity,v / s
        Time , t / s                                       Make sure the area covered by the plotted points
                                                           must not be less than 50% of the area of the graph
           Volume , V / m3        Pressure , P / Pa        paper.

                                                           For example:

The data shown in the table must be consistent in
the number of decimal places in accordance with
the respective measuring instruments.                      The scale on the axes must be uniform and clearly
For example,                                               marked with value.
             Length, l / cm     Time , t /s                For example:
                     0                12.8
                     2                25.6
                     4                39.4
                     6                52.2
                     8                75.0

All the points are marked with a symbol such as a            y is directly proportional to x.
cross or circle and the centre of the cross must             or y  x
accurately positioned.                                             or y = kx k = constant
                                                                   or y = mx m = gradient
                                                                   or y1 = y2
The best straight line or the best curve graph must                       x1       x2
be drawn.
The best straight line or the best curve graph is the
line that passes through most of the points plotted
such that it is balanced by the number of points
above and below the line.The line also must be
                                                                  y increases linearly with x
                                                                  or y = mx + c
                                                                   m = gradient
                                                                   c = intercept on axis-y

                                                                  y decreases linearly with x
                                                                  or y = -mx + c
It is not advisable to plot graph by joining point to              m = gradient
point because the graph obtained is not smooth.                    c = intercept on axis-y

                                                                  y is inversely proportional to x
                                                                  atau y  1
                                                                  atau y = k
                                                                       k = constant

                                                             atau y1 x1 = y2 x2
How to analyse the data ?

(a) Determine the relationship between two
    Example :

(b) Determine the gradient of the graph

      Draw a suffiecienly large triangle to calculate
      the gradient of the graph.
      State value of the gradient with correct unit.
      The gradient of the graph is

       m = y2 - y1
           x2 - x1
         = QR

(c)   Determine the certain values from the graph.

      Certain important values can be obtained from
      the graph plotted by drawing a horizontal line
      or by extrapolating the graph.

(d) State the precautions should be taken
    For example:
    The circuit connentions must be taken
    Off the switch when taking the raeding of the
    Make sure the amplitude of oscillation is small.

    TUTORIAL 4                                                4   Which of the following graphs show that y
                                                                  increases linearly with x?

1   Which of the following is the best way to
    tabulate the data ?

A Voltage,V      0        5       10     15      20
  Current,I      0        1.7     2.5    3.4     4.2

B Time,t /s      2        4       6      8       10
  Density, /    2000     5000    8000   11000   14000
  kgm-3                                                       5   Hooke’s law states that applied force F is
                                                                  directly proportional to the extension x of
C Period,T       10.5     15.3    19.8   27.9    36.0             spring if its elastic limit is not exceeded. Which
  /s                                                              of the following graphs shows the Hooke’s
  Distance,d     2.5      3.3     4.6    5.8     6.9              Law?

D Object         5.1      8.7     11.6   16.5    18.6
  ,u / cm
  Image          2.3      5       6.9    9       11.6
  v / cm

2   Which of the following scales is the most
    suitable to plot a graph?                                 6   The acceleration,a of an object is inversely
                                                                  proportional to the mass,m of the object
    A     1 cm : 3 unit       B    1 cm : 5 unit                  under constant force.
    C     1 cm : 6 unit       D    1 cm : 8.8 unit                Which of the following graphs describes the
                                                                  relationship between a and m .

3   Which of the following is the best graph ?

7    An experiment is carried out to find the                12   The resistance R and temperature T for an
     relationship between mass and acceleration of                electric conductor is given as R = r + aT with
     a trolley on a wooden runway.                                r as the resistance at 0oC dan a as a
     The experiment is repeated by adding the                     constant.
     number of trolleys.                                          A graph of R against T is shown .
     The responding variable in this experiment is

     A    the length of the wooden runway.
     B    acceleration
     C    mass
                                                                  What is the resistance ,R of the conductor at a
8    In a simple pendulum experiment, the length
                                                                  temperature 60oC ?
     of the pendulum and time for 20 oscillations
     are recorded.
                                                                  A     35                    B     47
     The length of the pendulum is a
                                                                  C     86                    D     93
                                                                  E    180
     A    manipulated variable
     B    responding variable
                                                             15   The pressure ,P of the gas is directly
     C    fixed variable
                                                                  proportional to the absolute temperature, T of
                                                                  the gas.
                                                                  When P = 100 ,T = 50. What is the value of P
                                                                  when T = 400.

                                                                  A    0.8A                   B    125
                                                                  C     200                   D     800
9    Based on the graph above, what is the
                                                                  E     2000
     gradient of the graph?
                                                             16   A student carries out an experiment to find
     A     - 1.5           B     - 0.7
                                                                  out the relationship between the change in
     C     0.7             D     1.0
                                                                  length , y , of a spring and mass, m , of the
     E    1.5
                                                                  load on the spring. The arrangement of the
                                                                  apparatus for the experiment is shown in
                                                                  Figure 1 . The length of the spring when a
                                                                  load is placed on the piston is l .

10   What is the unit of the gradient of the graph

     A     m                     B       m2 s
     C     ms2                   D       ms- 2

11   A student plot a graph for a physical quantity ,
     Q on axis-y against a physical quantity ,R on
     axis –x
     The relationship between Q and R is given by
     as Q - aR = b , where a and b are constants.
     The gradient of vthe graph is

     A     a                     B       R
           b                             Q
     C     b                     D       a

At the beginning of the experiment there is no           Figure 6 and Figure 7.
load. The length of the spring is lo . The actual
length of lo is shown in Figure 2.
The experiment is repeated by using load with
mass , m , equal to 0.5 kg , 1.0 kg , 1.5 kg ,
2.0 kg and 2.5 kg. The actual lengths of the
spring when the different masses are used are
shown in Figure 3, Figure 4 , Figure 5 ,

(a) Based on the aim and the procedure of
    the experiment state the:
    (i)   manipulated variable


    (ii)    responding variable


    (iii)   constant variable

     ________________________________                   (c) On the graph paper , plot a graph of y
                                                            against m.
(b) Measure the length of the spring in
    Figure 2.                                           (d) Based on your graph, state the
          lo = ___________________                          relationship between y and m .

     Measure the lengths l of the spring in                 _________________________________
     Figure 3 , Figure 4 , Figure 5 , Figure 6
     and Figure 7 when different load are                   _________________________________

     In each case, calculate the change in
     length, y , of the spring where;
                 y = ( lo – l )

     Tabulate your results for m ,l and y in the
     space below.

                            Graph T2 against l
T2 / s2






                                                            l / cm

              0   20   40           60           80   100

17         A student carries out an experiment to
           investigate the relationship between the
           length of a simple oscillating pendulum ,l ,
           with its period, T.
           The experiment is repeated using different
           lengths,l, and their corresponding periods, T,
           are recorded. A graph of T2 against l , is
           then plotted as shown above.
           (a) Based on the graph,
               (i) State the relationship between T2
                    with l.


        (ii) Calculate period,T, when the length
             l = 45 cm.
             (Show your working)                                 18    The graph above represents graph W
                                                                       against V , where W and V are the distances
                                                                       on a wooden rod.

                                                                      (a)     Based on the graph state the:

                                                                             (i)      manipulated variable

              (iii) Calculate the gradient of the graph.
                                                                             (ii)     responding variable


                                                                       (b) Calculate the gradient of the graph.
     (b)      Using the value of the gradient obtained
              from (a)(iii) and the equation,
                     T 2  4 2
              calculate the acceleration due to
              gravity , g.                                             (c)    Determine the intercept on
                                                                               (i) axis- W


                                                                              (ii)          axis-V

      (c)     State one precaution for this experiment.
                                                                       (d) State the equation of the line


To top