spm paper 3 fiz

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SPM 2008 Paper 3 No. 1 A students carries out an experiment to investigate the relationship between the length, l , of a simple pendulum and the period of oscillation, T. The apparatus set-up for this experiment is shown in Diagram 1. The student starts the experiment with a pendulum length of 30.0 cm. The pendulum bob is displaced and then released so that it oscillates. The time taken, t, for 10 complete oscillations is recorded. The experiment is repeated with pendulum lengths of 40.0 cm, 50.0 cm, 60.0 cm and 70.0 cm. The corresponding stopwatch readings for 10 complete oscillations are shown in Diagram 5.2, 5.3, 5.4 , 5.5 and 5.6.

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Page 1: SPM Paper 3 fiz

SPM 2008 Paper 3 No. 1

A students carries out an experiment to investigate the relationship between the length, l , of a simple pendulum and the period of oscillation, T. The apparatus set-up for this experiment is shown in Diagram 1.

The student starts the experiment with a pendulum length of 30.0 cm. The pendulum bob is displaced and then released so that it oscillates. The time taken, t, for 10 complete oscillations is recorded. The experiment is repeated with pendulum lengths of 40.0 cm, 50.0 cm, 60.0 cm and 70.0 cm. The corresponding stopwatch readings for 10 complete oscillations are shown in Diagram 5.2, 5.3, 5.4 , 5.5 and 5.6.

Page 3: SPM Paper 3 fiz

(a) For the experiment described, identify:

(i) The manipulated variable

………………………………………………………………………………………..[1 mark]

(ii) The responding variable

……………………………………………………………………………………...[1 mark]

(iii) The constant variable

……………………………………………………………………………………...[1 mark]

(b) For this part of question, write your answers in the spaces provided in the corresponding Diagrams. Your answers must be correct to two decimal places.Based on Diagrams 5.2, 5.3, 5.4, 5.5 and 5.6:(i) Record the readings, t, of the stopwatch. [2 marks]

(ii) For each value of t in 5(b)(i), calculate the period of oscillation, T, of the pendulum using the following equation: T = t/10Record the value of T. [1 mark]

(iii) Calculate T2 for each value of T in 5(b)(ii). Record the value of T2. [2 marks]

Page 4: SPM Paper 3 fiz

(c) Tabulate your results for all values of l, T and T2 in the space below.

[2 marks]

(d) On the graph paper, plot a graph of T2 against l. [5 marks]

(e) Based on your graph in 5(d), state the relationship between T2 and l.

……………………………………………………………………………………….[1 mark]

Page 5: SPM Paper 3 fiz

ANSWERManipulated variable: Length of thread Responding variable: Time for 10 complete oscillation/ t / Period / TConstant variable : mass of bob // gravitational acceleration

Page 6: SPM Paper 3 fiz

1. Show T2 on the vertical –axis (y-axis) and l on the horizontal – axis (x-axis)2. State the units of the variables correctly3. Both axes are marked with uniform scale4. All five points are plotted correctly5. Best fit line is drawn6. Show the minimum size of graph at least 5 x 4 (2 cm x 2 cm) squares

T2 is directly proportional to l