1. A tube open on one end only is 1 m long. If the speed of sound in air is 340

Question

1. A tube open on one end only is 1 m long. If the speed of sound in air is 340 m/s, what is the
lowest frequency at which the tube will resonate?

2. The tube in problem 1 is filled with 60 cm of water. What will be the new lowest frequency at
which the tube will resonate?

3. The tube in problem 1 is filled almost to the top with water. A sound source generating a pure
tone of frequency 500 Hz is held over the open top of the tube as the water level is lowered.
Distinct resonances are heard when the water level is lowered by 16 cm and 50 cm respectively.
You do not know the speed of sound in the gas in the tube. What is the wavelength of the sound
resonating in the tube?

4.Using the information presented in problem 3, what is the speed of sound in the tube?

please answer all questions! Thank you!!

Explanation / Answer

a) L = 1m

V = 340m/s

f = V/4l

= 340/4

= 85 Hz

b) L =1-.6 = .4m

f = 340/4*.4

= 212.5 Hz

c)l2-l1 = 50-16 = .34m

2(l2-l1) = .68m

wavelength of sound = .68m

500 = n.340/.68

   n= 1

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