"A person is playing a small flute 10.75 cm long, open at one end and closed at the other, near a taut string having a fundamental frequency of 600.0 Hz. If the speed of sound is 344.0 m / s, for which harmonics of the flute will the string resonate? In each case, which harmonic of the string is in resonance?"

Question

I have f_1 = v/4L for the flute
and f_1 = v/2L for the string.

How do I find when the frequencies are the same?

Answer 1

λ=4•10.75=43 cm=0.43 m
λ=v/f
f1= v/ λ =344/0.43 = 800 Hz
f2=600 Hz
resonance fₒ=2400 Hz