With both ends of the cord fixed one obtains the
n-th harmonic
when, besides the
nodes
at the end of the cord,
appear (n-1) more nodes in the cord.
This frequency must be such that the space between the two ends of the cord,
,
corresponds to n/2 times the wavelength,
=nλ/2.
Since the speed of waves in the cord, v,
is supposed to be constant, one has
v = f × λ
→
f = nv / 2
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