Physics 9702/52 — May/June 2020

Cambridge A-Level · Planning, Analysis and Evaluation · worked solutions for every part, with the mark scheme

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Topics Analysis, Conclusions and Evaluation · Planning

Q115MPlanningAnalysis, Conclusions and EvaluationFree sample

A student investigates stationary waves with an elastic cord of circular cross-section attached to a load, as shown in Fig. 1.1.

Fig. 1.1

When the frequency of the vibrator is $f$ , the cord vibrates with the stationary wave pattern shown. The student investigates how $f$ varies with the cross-sectional area $A$ of the cord.

It is suggested that the relationship between $f$ and $A$ is

f = \frac{1}{2L} \sqrt{\frac{M}{kA}}

where $L$ is the distance between the two nodes, $M$ is the mass of the load and $k$ is a constant.

Design a laboratory experiment to test the relationship between $f$ and $A$ .
Explain how your results could be used to determine a value for $k$ .

You should draw a diagram, on page 3, showing the arrangement of your equipment.
In your account you should pay particular attention to:

● the procedure to be followed
● the measurements to be taken
● the control of variables
● the analysis of the data
● any safety precautions to be taken.

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