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In an experiment, a student investigated the variation of the fundamental frequency f of a stretched string with its length l - Leaving Cert Physics - Question 3 - 2009
Question 3
In an experiment, a student investigated the variation of the fundamental frequency f of a stretched string with its length l. During the experiment the student kept... show full transcript
Worked Solution & Example Answer:In an experiment, a student investigated the variation of the fundamental frequency f of a stretched string with its length l - Leaving Cert Physics - Question 3 - 2009
Step 1
Describe, with the aid of a diagram, how the student obtained the data.
Answer
The student conducted an experiment using a tuning fork and a wire bridge/sonometer to determine the fundamental frequency of a stretched string.
- Tuning Fork: The tuning fork, connected to the signal generator, was struck to produce sound waves of known frequencies.
- Wire Bridge: The string was attached to the wire bridge, which allows for adjustments in length.
- Measuring Length: The length of the string was adjusted, and the student measured the frequency at which resonance was observed.
- Recording Data: The frequencies and corresponding lengths were recorded in a table.
Step 2
Why was the tension in the string kept constant during the experiment?
Answer
The tension in the string was kept constant to ensure that the fundamental frequency measured depended only on the length of the string. This controlled variable allows for a clear relationship between frequency and length to be established, as frequency also depends on tension.
Step 3
Step 4
Plot a graph on graph paper to show the relationship between the fundamental frequency and the length of the stretched string (put 1 on the X-axis).
Answer
To plot the graph, place 1/l on the X-axis and frequency on the Y-axis. Each point should be plotted according to the data from the modified table. Ensure that the axes are correctly labeled and that each point is marked accurately.
Step 5
What does your graph tell you about the relationship between the fundamental frequency of a stretched string and its length?
Answer
The graph indicates an inverse relationship between the fundamental frequency and the length of the stretched string. As the length increases, the fundamental frequency decreases. This relationship suggests that frequency is inversely proportional to the length of the string, which aligns with the physical principles governing vibrating strings.