This can be calculated by the simple harmonic motion, and the lowest resonant frequency for this string is 89 Hz.
Harmonic motion refers to the motion an oscillating mass experiences when the restoring force is proportional to the displacement, but in opposite directions. Harmonic motion is periodic and can be represented by a sine wave with constant frequency and amplitude.
Let 356Hz be the nth harmonic of the string.
Thus nc/2l = 356 Hz
and (n+1)c/2l = 445 Hz
dividing both of them
(n+1)/n = 445/356 = 1.25
again,
n+1 = 1.25n
0.25n = 1
n = 1/0.25
n = 4
So, lowest resonant frequency = c/2l = 356/4 = 89 Hz
Hence the lowest resonant frequency for this string is 89 Hz.
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