96.26: If the speed of sou.ua+s8axh-s:hk)t awtvp2e;9xt 7xund in air is 340 m/s, the length of the organ pipe, open at both ends, that can resonate at theh9 aha ;xt)x8 p.t ew-s7svxtka+u2:u fundamental frequency of 136 Hz, would be:

  98.35: A pipe that is closed at onea: ,j mh:g hf4t/aw, fhd1;ifk end and open at the other resonates at a fundamental frequency of 240 Hz. The next lowest/highesw:ft;gf ih:d ham a,/fjkh1,4t frequency it resonates at is most nearly

  A natural horn (trumpet with no valves) is similar pviydh.wf7 + ig*5hegk2., g jbo x91pjg9c t3to an pipe open at both ends. A musician plans to create a fundamental frequency of 256 Hz (middle C) using the hor19d xc+.pi*bjgy5 o 23pw gkhij h.fget9 v7g,n.
00.33: If sound travels at 350 m/s, what must be the length of this horn?

  A natural horn (trumpet with no valves) is similar to an pipe open at b/0 q.csmxurv/ y 2nmoigad6o3y6 )*tboth ends. A musician plans to create a fundamental frequency of 256 Hzmtcnsa *x23b6g/.qdryov6/yi )m o0u (middle C) using the horn
00.34: A talented musician can produce a number of overtones on this natural horn, What would be the frequency of the fourth overtone produced when the musician is playing a middle C fundamental?

  05.09: A tube is open at both ends with the air oscillating in t5gl.+;.wl7 ui seebcopd,5vv vo gs(8he $4^{th}$- harmonic. How many displacement nodes are located within the tube?

  07.24: A resonance occurs with a tuning fork an hj8n-s *trsu9d an air column of size 39 cm. The next highest resonance occurs with an air column of 65 cm. What is the frequency of thusshnj t -8*9re tuning fork? Assume that the speed of sound is 343 m/s.

  08.27: A tube of len / a; xnfvka,d5d 2*8dcukkd3ugth $L_1$ is open at both ends. A second tube of length $L_2$ is closed at one end and open at the other end. This second tube resonates at the same fundamental frequency as the first tube. What is the value of $L_2$ ?

  10.17: A tube of air op4cz:-m/zdpzt,t x,( .*mr2n cve reys en at only one end is vibrating in the 5th-harmonic from a tuning fork of frequency 120 Hz placed at the open end. If this tube of air were to vibrate at zcnrcx(m.zd,2y e* vp r/:tmt-e 4s,z its fundamental frequency, what frequency tuning fork would be needed at the open end?

  11.43: A standing wave is created in an air-filled tube open at both ends wh,qf 6uwikpj0ey +e9;ten a tuning fork of frejfku;+6 9tpq,wie0y e quency 552 Hz is placed near one of the open ends. A tuning fork of frequency 644 Hz produces the next highest harmonic for this tube. What is the length of the open tube? Assume room temperature

  14.21: A tuning fork placed over a 57 c1)gw+ /, efhjq 6nf2am0sbiz zm column of air closed only at its bottom end produces a standing wave in the 3rd harmonic. The speed of sound in air is 342 m/s. What is the frequency of the tunifzm0ib e h1)zjnsw/,+af qg 62ng fork?

  09.06: For a standing wave mode on a string fixed at both endxagl 792;i jh n w1wzt8n8tsvxxdx--) s, adjacent antinodes are separated by a distance of 20 cm. Waves travel on this string at a speexd1jni 9wvghtx8- z;)t-sa7n2x wl8 xd of 1200 cm/s. At what frequency is the string vibrated to produce this standing wave?

  The diagram below represents 5 different stpb 8 xzj4 f1eme-fnb +(hlh/yxyq69x)anding sound waves set up inside of a setyqxfx(x+6mby e /8bfpl-)j1 e9zn4 hh of organ pipes 1 meter long.

01.25: What is the length of the longest wavelength shown?

  The diagram below represent 2wyz q+4nym/os 5 different standing sound waves set up inside of a set of organ pipes 1 meter long. +q /24ozyynmw


01.26: Which organ pipe shows a standing wave which has twice the frequency of one of the other
waves shown?

  
Similary AP pastpaper question: Which of the following statements correctly relates the frequencies of
the organ pipes shown? Select two answers.

  15.18: A 680 Hz tuning fork is p, rtydj y(fi(k97+iln laced over a tube open at both ends that is filled with air. As a result, a standing wave iikf (jn(li ry7y+9d ,tn the $3^{rd}$-harmonic is produced. The speed of sound in air is 340 m/s. What is the length of the tube?

  15.33: Two spherical speakers separated n lgu3:9vgkw nf1qc j92a k10uby 30.0 m each emit a constant frequency signal of 57.0 Hz in phase with each other. The s jc1v0:2 gkfu9kna 3l wng1uq9peed of sound is 342 m/s. How many locations of complete destructive interference of the incoming signals are there on the line between the speakers?

  16.27: A tuning fork of frequencs, vuojgk)yz3(da -1sy f is placed over a long tube closed at one end producing the third lowest frequency standing wave for the tube. What frequency tuning fork would be needsov -)j ykazu3d1g,(sed to produce the fourth lowest frequency standing wave?

  17.36: A scientist performs a 3 7 )bah7n jiv:0vqe**aap+,3uaor hsyl6kejn experiment in which she determines the shortest length of a gas column needed to create resonance for a vibrating tuning fork over a tube closed at one end. She plots the gas column length against the inverse of the frequency for a set of tuning forks and finds that she has a straight line fit through the data. Representing the slope of the line as m, which one of the following choices correctly identifieseyi7p7aj6ekahq hs3j* ava *)l: +u0brn3o, v the speed of waves through the gas in the experiment?