Wavelength and Frequency

Introduction:
In this short laboratory, an experiment was devised to find some mathematical relationship between wavelength and frequency of a wave.  The theoretical result is known to be an inverse relationship as described by the equation:

The experiment, devised among 2 lab partners and I was outlined and data was tabulated on a white board (Displayed on the steps below).


Steps:

Steps needed in our experiment.

The task of finding data for frequency was simplified by counting the time for 30 oscillations, dividing this number by 30, then finding the inverse (averaging 30 oscillations gives a better approximation).

Put on an Excel sheet:

wavelength	trial 1	trial 2	trial 3		Trial 1 period	Trial 2 period	Trial 3 period	Ave period	frequency
2.2	9.8	10.6	8.53	9.6433333333	0.3266666667	0.3533333333	0.2843333333	0.3214444444	3.1109574836
3.2	10.8	11.6	9.38	10.5933333333	0.36	0.3866666667	0.3126666667	0.3531111111	2.8319697923
4.2	11.9	11.3	11.7	11.6333333333	0.3966666667	0.3766666667	0.39	0.3877777778	2.5787965616

Average Frequency vs Wavelength was graphed with the data above 

Questions/Conclusion:

The result obtained was close to linear, but we were nonetheless able to fit an inverse onto the data.  There is a clear relationship describing a decreasing wavelength as frequency is increased.  This was definitely the case in our experiment as our effort to create a standing wave was eased as we increased distance from one another (less up and down motion required).  The exponent of this graph is at -1.22 which is near the expected value of -1  since