Blowing across a tube open at both ends produces a musical note. If you place yo

Question

Blowing across a tube open at both ends produces a musical note. If you place your finger over the open end at the bottom of the tube and blow across the top of the tube, a second note is produced. Compare the pitch and frequency of the second note to the pitch and frequency of the original note.

A. The second note has a higher pitch and twice the frequency.

b. The second note has a higher pitch and half the frequency

c. the second note has a lower pitch and twice the frequency

d. the second note has a lower pitch and half the frequency

Explanation / Answer

d. the second note has a lower pitch and half the frequency

for open pipe, f = v/(2*L) (fundamental frequency)

f = 0.5*(v/L)

for closed pipe, f' = v/(4*L) (fundamental frequency)

= 0.25*(v/L)

so clearly, f' > f and f' = f/2

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