Harmonic Overtone

In this lab through following setup we tried to find the relationship between frequency and wavelength and get an overall understanding of the nature of standing waves.

the function generator produces a constant frequency while a certain amount of weight is hanging from the string.

Trial	f Hz	Nodes	Distance between nodes	λ m
1	15	2	1.45	2.9
2	30	3	0.725	1.45
3	45	4	0.483	0.967
4	62	5	0.363	0.725
5	77	6	0.29	0.58
6	108	8	0.207	0.414
7	125	9	0.181	0.363
uncertainty			±0.02	±0.01

for this trial the length was 1.45±0.1 and the weight is 0.25±0.05 kg


if we plot a graph for frequency vs 1/lambda we get 







y = 45.558x - 1.3104


this value corresponds to the velocity in this medium and matches the calculated value by sqrt(T/μ)