n at one end and has a length L-0.550 m while tube 2 is ope e third harmonic is

Question

n at one end and has a length L-0.550 m while tube 2 is ope e third harmonic is set up in each tube. The speed of sound 2. The figure below shows two tubes; tube I is open at one end at both ends and has a length L21.20m. The third harmon v, = 341 m/s. th L21.20 tube I tube 2 L2 (a) Find the linea r frequency and the wavelength of the sound coming from tube 1. b) Find the linear frequency and the wavelength of the sound coming from tube 2 b) Find the linear firequency and the wavelength of the sound coming from tube 2.

Explanation / Answer

a) for tube 1 (closed end )

3rd harmonic frequency = 3v / 4L1

= 3(341) / 4(0.550) = 465 Hz

wavelength = 4L1 / 3 = 4(0.55) / 3 = 0.73 m

b) for 2nd tube (opne end)

f = 3v / 2L = 3(341) / 2(1.20) = 426.25 Hz

wavelength = 2L/3 = 2(1.20) / 3 = 0.8 m

c) for closed end

f = (341 - 125)465 / 341 = 294.54 Hz

for open end

f = (341 - 125)426.25 / 341 = 270 Hz

d) beat frequency = 294.54 - 270 = 24.54 Hz

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