Objective: The purpose of this experiment
is to determine if there is a linear relationship between frequency and
wavelength. Materials needed are a stopwatch and a spring.
In this experiment, students performed three
trials with different wavelengths of 6m, 3m, and 2m. First, students used a stopwatch
to measure the time needed for 10 waves with the same wavelength to travel
through a point. Then, students divided the time measured by 10 to find out the
period (T). After that, students can use f=1/T to calculate frequency.
 |
| Materials needed for the experiment. |
 | ||||
| wave of a wavelength of 6m is formed. |
 |
| Data was measured and recorded on a whiteboard. |
Data and
Analysis
Table 1:
λ(m)
|
time(s)
|
T(s)
|
ƒ(Hz)
|
6.0 ±
0.05
|
9.30 ±
0.0050
|
0.930 ±
0.00050
|
1.08 ±
0.0006
|
3.0 ±
0.05
|
4.40 ±
0.0050
|
0.440 ±
0.00050
|
2.27 ±
0.0026
|
2.0 ±
0.05
|
2.56 ±
0.0050
|
0.256 ±
0.00050
|
3.91 ±
0.0076
|
Calculations of
uncertainties
1) ƒ = 1/T
uƒ = (√[(-1/T2) * uT])2 = (√(-1/0.932)
x 0.0005)2 = 0.0006 Hz
 | |
| Wavelength and frequency are inversely proportional to each other. |
Conclusion
From the graph, it is obviously shown that
there is an inversely proportional relationship between wavelength and frequency.
Frequency is decreasing with an increased wavelength. Velocity can be represented
by wavelength*frequency. Error contributed to this experiment can be an
inaccurate measurement of the length of spring, and the time needed for 10
waves to pass through a certain point. Also, the speed of each wave travels
through the point might not be the same since the wave was formed by an
untrained student.
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ReplyDeleteRonald White