One of the harmonic frequencies of tube A with two open ends is 345 Hz. The next

Question

One of the harmonic frequencies of tube A with two open ends is 345 Hz. The next-highest harmonic frequency is 414 Hz.(a) What harmonic frequency is next highest after the harmonic frequency 414 Hz? (b) What is the number of this next-highest harmonic?
One of the harmonic frequencies of tube B with only one open end is 2085 Hz. The next-highest harmonic frequency is 2363 Hz. (c) What harmonic frequency is next highest after the harmonic frequency 1529 Hz? (d) What is the number of this next-highest harmonic?

Explanation / Answer

Fundmental frequency

f1=fn+1-fn =414-345

f1=(V/2L)=69

Next highest harmonic frequency

f==69+414 =483 Hz

b)

n=483/69 =7

c)

f=fn+1-f1 =2363-2085

f=(V/2L) =278 Hz

Next highest harmonic frequency of 1529 Hz

f=1529+278

f=1807 hz

d)

n=1807/139 =13

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