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PAPER 3, 2006
1. A student carries out an experiment to investigate the relationship between the length of air
column , ℓ , and the temperature , θ , for a fixed mass of air. The air is trapped by
concentrated sulphuric acid in a capillary tube.
Diagram 1.1 shows the thermometer and capillary tube tied on a metre rule. The sealed end
of thecapillary tube is placed at the zero mark on the scale of the ruler.
The thermometer and capillary tube are placed into a beaker filled with water.The
Arrangementof the apparatus is shown in Diagram 1.2
Ice cubes are put into the beaker until the temperature , θ , reaches 0° C . The actual
reading of the length of the air column , ℓ, is shown in Diagram 1.4.
Then the beaker is heated until the temperature, θ , reaches 20 °C.
The actual corresponding reading of the length of the air column , ℓ is shown in Diagram
1.5 on page 4
The procedure of the heating process is repeated with temperatures , θ = 30 °C , 40 °C ,
50 °C , 60° C and 70 °C.
The actual corresponding readings of the lengths of the air column, are shown in
Diagrams 1.6 ,1.7 ,1.8 , 1.9 and 1.10.
(a)For the experiment described on page 1, identify :
(i)The manipulated variable
………………………………………………………………......
[1 mark]
(ii)The responding variable
…………………………………………………………………......
[1 mark]
(iii)The constant variable
…………………………………………………………………......
[1 mark]
(b)(i)Diagram 1.3 shows the meniscus of the concentrated sulphuric acid
inside the capillary tube.
State the correct position of the eye while taking the reading of the length of the
air column.
…………………………………………………………………………......
[1 mark]
(ii)Based on Diagrams 1.4 , 1.5 , 1.6 , 1.7 , 1.8 , 1.9 and 1.10, determine the lengths of air column , ℓ , and their corresponding temperature , θ .
Tabulate your results for θ and ℓ in the space below
(c)On a piece of graph paper , plot a graph of ℓ against θ . [5 marks]
(d)Based on your graph , state the relationship between ℓ and θ .
……………………………………………………………………………......
[1 mark]
(e)State one precaution that should be taken to obtain the accurate readings of ℓ .
……………………………………………………………………………………………...... …………………………………………………………………
[1 mark]
- A student carries out an experiment to investigate the relationship between the potential difference , V , across a filament bulb and the current , I , flowing through it. The results of the experiment is shown in the graph of V against I.
(a) Based on the graph, determine the value of V when I =0.2 A. Show on the graph , how you determine the value of V.
[2 marks]
(b)Ohm’s Law states that the potential difference across a conductor is directly proportional to the current flowing through the conductor.
Based on the statement above m determine the range of the current that obeys
the Ohm’ s Law.
Show on the graph how you determine the range of the current.
[2 marks]
(c ) The gradient of the graph represents resistance. Show how resistance varies with
current.
…………………………………………………………………………......
[1 mark]
(d) The electric power , P, used by the bulb is given by the formula P=I2m,where m is
the gradient of the graph.
(i)Calculate the gradient , m , when I = 0.2 A
Show on the graph how you determine m.
m = ……………………………….. [4 marks]
(ii)Calculate the value of P when the current I = 0.2 A.
P = ………………………………. [2 marks]
(e)State on precaution that should be taken to improve the results of this experiment.
…….………………………………………………………………………......
......
[1 mark]
3Diagram 3.1 shows two wooden tops. One of the tops is partly coated with tin. Both tops are the same size and are rotated with the same velocity.
Diagram 3.2 shows the top which is partly coated with tin is able to spin longer.
Based on the above information and observation :
(a)State one suitable inference [1 mark]
(b) State one suitable hypothesis
[1 mark]
(c)With the use of apparatus such as a hacksaw blade, plasticine and other apparatus , describe an experiment framework to investigate the hypothesis stated in 3 (b). In your description, state clearly the following:
(i) Aim of the experiment
(ii) Variables in the experiment
(iii) List of apparatus and materials
(iv) Arrangement of the apparatus
(v) The procedure of the experiment which include the method of controlling the manipulated variable and the method of measuring the responding variable.
(vi)The way you would tabulate the data
(vii) The way you would analyze the data
[10 marks]
4Diagrams 4.1 and 4.2 show two taps relesing droplets of water into large containers.
The number of droplets which fall per second in Diagram 4.1 is more compared to the number of droplets in Diagram 4.2
The cross sections of the water waves formed from the droplets in the containers are shown in the diagrams.
Based on the above information and observation :
(a)State one suitable inference [1 mark]
(b) State one suitable hypothesis [1 mark]
(c)With the use of apparatus such as a ripple tank , a vibration motor with adjustable frequency and other apparatus describe an experiment framework to investigate the hypothesis stated in 4 b).
In your description, state clearly the following:
(i) Aim of the experiment
(ii) Variables in the experiment
(iii) List of apparatus and materials
(iv) Arrangement of the apparatus
(v) The procedure of the experiment which include the method of controlling the manipulated variable and the method of measuring the responding variable.
(vi)The way you would tabulate the data
(vii) The way you would analyze the data
[10 marks]
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