Question

xV 1b f(ms) -0.5 -1.08 The diagram shows the representation of a sound produced in a closed-ended tube, whose length is 24 cm. Remember that the length of the tube is % of the wavelength, the period is the total time divided by the number of wawes or cycles, the frequency is the inverse of the period, and the equation to be used is y rif A) Determine the fundamental frequency B) Determine the wavelength C) Determine the speed of sound in the tube A) What type of air vibrations is shown above? B) What harmonic is being shown? C) If the tube has the same length as in the previous problem, what is the wavelength? D) Using the frequency obtained in the previous problem, how would you get the fundamental frequency for this problem? E) What is the frequency of the harmonic shown?

Answer 1

To 20 t (ms) -1.0 Length of tube 24cm = 24x10²m o n (2) = 4 of wavelength of sound L = | where a wavelength of sound => x=42 = 4 x aux 10 = 48 X 10 m Time benod= - Total time goms 7 No. of wave fregning of ware &f) = 1 f = 1 - ? J = 2 X 10 Hz (A) fundamental frequency Closed end) toe when u=fx = I x 13 1 8673xxo x fo - IMDP * 2D, do 20 tyi fundamentelor de to= 0.35 x 1,3 43 1:41 1 Jo=35043) (B wavelength = ? As L= = = = 42 & 4x2 d = 4/2ux10²) = u 8 x 10 m. or 48cm 6 speed of sound o=ford = 350x48X10². - 168m1ST u=16,800x152

Give tube (4) Air vibration prese represert wibration open - tube . present in abovel take it sound produce in fundomente mode ( 7st Harmone I Node &- Antinde 2nd Haumone 2 Note 3 Antin be 2 Note uy Antince Given So Harmonić in ooo In hiven tube 4 - An Node 57 Antinode "4th Harmonic ( ef L=24cm = 24 x 152 (As given in previous By theory of vibration in orgon pipe distance beth two consecutive Antinode u equal to so = 20 = L = 24x102 K 4. 2) - M = 12 x 10²m L= 2

In this problems for fundamentel free - L= x =22 fundamenty drep too so jo o & previous problem fundemented fres. (f = L = - 350Hz 30 v = (350x4) 43 put value of in ephe 0 fo= x(350xy) Jundamented gives tube Vibrations

E frequency of grvey Harmonic K 7 to 7-kt- K L=4. (2) fau Tundamental trestu J-450 - 4(700) I= 280042