8.1· 132 questions · 132 marks · 158 min · 2004–2025· Multiple choice
Every Cambridge A Level Physics Paper 1 question on stationary waves, laid out as 45 A4 pages with the mark scheme below. Nothing is left out. Free to read, no account.



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45 / 45Answers below. Sit the paper first if you are practising.
Pastlit
Physics 9702 · Stationary waves — Paper 1
A Level · topical answer key — answer key (teacher use)
Question
Answer
Marks
Pastlit
Physics 9702 · Stationary waves — Paper 1
A Level · topical answer key — answer key (teacher use)
Question
Answer
Marks
Pastlit
Physics 9702 · Stationary waves — Paper 1
A Level · topical answer key — answer key (teacher use)
Question
Answer
Marks
| Question | Answer | Marks | From |
|---|---|---|---|
| 1 | C | 1 | 9702/11 Oct/Nov 2004 |
| 2 | C | 1 | 9702/11 Oct/Nov 2004 |
| 3 | D | 1 | 9702/11 Oct/Nov 2005 |
| 4 | C | 1 | 9702/11 May/June 2006 |
| 5 | A | 1 | 9702/11 Oct/Nov 2006 |
| 6 | C | 1 | 9702/11 May/June 2007 |
| 7 | A | 1 | 9702/11 May/June 2007 |
| 8 | D | 1 | 9702/11 May/June 2008 |
| 9 | C | 1 | 9702/11 Oct/Nov 2008 |
| 10 | B | 1 | 9702/11 May/June 2009 |
| 11 | B | 1 | 9702/11 May/June 2009 |
| 12 | D | 1 | 9702/11 Oct/Nov 2009 |
| 13 | D | 1 | 9702/12 Oct/Nov 2009 |
| 14 | C | 1 | 9702/11 May/June 2010 |
| 15 | C | 1 | 9702/13 May/June 2010 |
| 16 | D | 1 | 9702/12 Oct/Nov 2010 |
| 17 | C | 1 | 9702/12 Oct/Nov 2010 |
| 18 | A | 1 | 9702/13 Oct/Nov 2010 |
| 19 | D | 1 | 9702/11 May/June 2011 |
| 20 | D | 1 | 9702/13 May/June 2011 |
| 21 | A | 1 | 9702/11 Oct/Nov 2011 |
| 22 | B | 1 | 9702/12 Oct/Nov 2011 |
| 23 | A | 1 | 9702/13 Oct/Nov 2011 |
| 24 | B | 1 | 9702/12 May/June 2012 |
| 25 | B | 1 | 9702/11 Oct/Nov 2012 |
| 26 | A | 1 | 9702/12 Oct/Nov 2012 |
| 27 | B | 1 | 9702/13 Oct/Nov 2012 |
| 28 | B | 1 | 9702/13 Oct/Nov 2012 |
| 29 | C | 1 | 9702/11 May/June 2013 |
| 30 | C | 1 | 9702/12 May/June 2013 |
| 31 | D | 1 | 9702/13 May/June 2013 |
| 32 | A | 1 | 9702/11 Oct/Nov 2013 |
| 33 | D | 1 | 9702/12 Oct/Nov 2013 |
| 34 | A | 1 | 9702/12 Oct/Nov 2013 |
| 35 | D | 1 | 9702/13 Oct/Nov 2013 |
| 36 | B | 1 | 9702/11 May/June 2014 |
| 37 | D | 1 | 9702/11 May/June 2014 |
| 38 | B | 1 | 9702/13 May/June 2014 |
| 39 | D | 1 | 9702/11 Oct/Nov 2014 |
| 40 | D | 1 | 9702/12 Oct/Nov 2014 |
| 41 | A | 1 | 9702/13 Oct/Nov 2014 |
| 42 | C | 1 | 9702/13 Oct/Nov 2014 |
| 43 | B | 1 | 9702/11 May/June 2015 |
| 44 | D | 1 | 9702/11 May/June 2015 |
| 45 | B | 1 | 9702/12 May/June 2015 |
| 46 | D | 1 | 9702/13 May/June 2015 |
| 47 | D | 1 | 9702/12 Oct/Nov 2015 |
| 48 | C | 1 | 9702/12 Oct/Nov 2015 |
| 49 | B | 1 | 9702/12 Feb/March 2016 |
| 50 | C | 1 | 9702/12 Feb/March 2016 |
| 51 | A | 1 | 9702/11 May/June 2016 |
| 52 | C | 1 | 9702/12 May/June 2016 |
| 53 | D | 1 | 9702/11 Oct/Nov 2016 |
| 54 | A | 1 | 9702/11 Oct/Nov 2016 |
| 55 | D | 1 | 9702/13 Oct/Nov 2016 |
| 56 | A | 1 | 9702/13 Oct/Nov 2016 |
| 57 | C | 1 | 9702/12 Feb/March 2017 |
| 58 | C | 1 | 9702/11 May/June 2017 |
| 59 | D | 1 | 9702/12 May/June 2017 |
| 60 | A | 1 | 9702/13 May/June 2017 |
| 61 | C | 1 | 9702/11 Oct/Nov 2017 |
| 62 | B | 1 | 9702/12 Oct/Nov 2017 |
| 63 | D | 1 | 9702/12 Oct/Nov 2017 |
| 64 | D | 1 | 9702/12 Feb/March 2018 |
| 65 | B | 1 | 9702/11 May/June 2018 |
| 66 | A | 1 | 9702/12 May/June 2018 |
| 67 | A | 1 | 9702/12 May/June 2018 |
| 68 | B | 1 | 9702/13 May/June 2018 |
| 69 | A | 1 | 9702/11 Oct/Nov 2018 |
| 70 | A | 1 | 9702/12 Oct/Nov 2018 |
| 71 | A | 1 | 9702/12 Oct/Nov 2018 |
| 72 | D | 1 | 9702/13 Oct/Nov 2018 |
| 73 | D | 1 | 9702/12 Feb/March 2019 |
| 74 | C | 1 | 9702/12 Feb/March 2019 |
| 75 | C | 1 | 9702/11 May/June 2019 |
| 76 | D | 1 | 9702/11 May/June 2019 |
| 77 | D | 1 | 9702/12 May/June 2019 |
| 78 | B | 1 | 9702/13 May/June 2019 |
| 79 | B | 1 | 9702/11 Oct/Nov 2019 |
| 80 | C | 1 | 9702/12 Oct/Nov 2019 |
| 81 | C | 1 | 9702/13 Oct/Nov 2019 |
| 82 | D | 1 | 9702/13 Oct/Nov 2019 |
| 83 | C | 1 | 9702/12 Feb/March 2020 |
| 84 | B | 1 | 9702/11 May/June 2020 |
| 85 | B | 1 | 9702/11 May/June 2020 |
| 86 | D | 1 | 9702/12 May/June 2020 |
| 87 | B | 1 | 9702/13 May/June 2020 |
| 88 | C | 1 | 9702/13 May/June 2020 |
| 89 | C | 1 | 9702/11 Oct/Nov 2020 |
| 90 | A | 1 | 9702/11 Oct/Nov 2020 |
| 91 | B | 1 | 9702/12 Oct/Nov 2020 |
| 92 | B | 1 | 9702/13 Oct/Nov 2020 |
| 93 | C | 1 | 9702/12 Feb/March 2021 |
| 94 | A | 1 | 9702/11 May/June 2021 |
| 95 | B | 1 | 9702/11 May/June 2021 |
| 96 | C | 1 | 9702/13 May/June 2021 |
| 97 | D | 1 | 9702/11 Oct/Nov 2021 |
| 98 | A | 1 | 9702/11 Oct/Nov 2021 |
| 99 | A | 1 | 9702/13 Oct/Nov 2021 |
| 100 | A | 1 | 9702/13 Oct/Nov 2021 |
| 101 | C | 1 | 9702/12 Feb/March 2022 |
| 102 | B | 1 | 9702/11 May/June 2022 |
| 103 | B | 1 | 9702/11 May/June 2022 |
| 104 | B | 1 | 9702/12 May/June 2022 |
| 105 | A | 1 | 9702/11 Oct/Nov 2022 |
| 106 | D | 1 | 9702/12 Oct/Nov 2022 |
| 107 | C | 1 | 9702/13 Oct/Nov 2022 |
| 108 | B | 1 | 9702/13 Oct/Nov 2022 |
| 109 | C | 1 | 9702/12 Feb/March 2023 |
| 110 | D | 1 | 9702/12 Feb/March 2023 |
| 111 | A | 1 | 9702/11 May/June 2023 |
| 112 | A | 1 | 9702/12 May/June 2023 |
| 113 | A | 1 | 9702/12 May/June 2023 |
| 114 | B | 1 | 9702/13 May/June 2023 |
| 115 | A | 1 | 9702/13 May/June 2023 |
| 116 | C | 1 | 9702/12 Oct/Nov 2023 |
| 117 | B | 1 | 9702/12 Oct/Nov 2023 |
| 118 | A | 1 | 9702/13 Oct/Nov 2023 |
| 119 | B | 1 | 9702/13 Oct/Nov 2023 |
| 120 | D | 1 | 9702/12 Feb/March 2024 |
| 121 | B | 1 | 9702/12 May/June 2024 |
| 122 | D | 1 | 9702/12 May/June 2024 |
| 123 | A | 1 | 9702/12 Oct/Nov 2024 |
| 124 | A | 1 | 9702/13 Oct/Nov 2024 |
| 125 | A | 1 | 9702/11 May/June 2025 |
| 126 | C | 1 | 9702/12 May/June 2025 |
| 127 | D | 1 | 9702/12 May/June 2025 |
| 128 | A | 1 | 9702/14 May/June 2025 |
| 129 | D | 1 | 9702/11 Oct/Nov 2025 |
| 130 | C | 1 | 9702/12 Oct/Nov 2025 |
| 131 | D | 1 | 9702/13 Oct/Nov 2025 |
| 132 | C | 1 | 9702/14 Oct/Nov 2025 |
25 A stationary sound wave is set up along the line joining two loudspeakers. Which measurement is sufficient on its own to enable you to deduce the wavelength of the wave? A the amplitude of the sound wave B the distance between the two loudspeakers C the distance between two adjacent antinodes D the frequency of the sound wave
1 marks
Answer: C
27 The diagram represents a stationary wave on a stretched string. x P What is represented by point P and by the length x? point P length x A antinode one wavelength B antinode two wavelengths C node one wavelength D node two wavelengths
1 marks
Answer: C
26 The graph represents a standing wave at two different times. displacement X Y distance along the wave What does the distance XY represent? A half the amplitude B half the frequency C half the period D half the wavelength
1 marks
Answer: D
26 Where, in a standing wave, do the vibrations of the medium occur? A only at the nodes B only at the antinodes C at all points between the nodes D at all points between the antinodes
1 marks
Answer: C
28 What may be used to produce stationary waves? A blowing air over the top of an empty bottle B making a loud sound near a mountain C passing monochromatic light through a double slit D passing water waves through a narrow slit
1 marks
Answer: A
25 The diagram represents a stationary wave on a stretched string. x P What is represented by point P and by the length x? point P length x A antinode one wavelength B antinode two wavelengths C node one wavelength D node two wavelengths
1 marks
Answer: C
27 A stationary longitudinal wave is set up in a pipe. In the diagrams below, the length of each arrow represents the amplitude of the motion of the air molecules, and the arrow head shows the direction of motion at a particular instant. Which diagram shows a stationary wave in which there are two nodes and two antinodes? A B C D
1 marks
Answer: A
27 Sound waves, emitted by a small loudspeaker, are reflected by a wall. The frequency f of the waves is adjusted until a stationary wave is formed with the antinode nearest the wall at a distance x from the wall. Which expression gives f in terms of x and the speed of sound c? 4 c 2 c c c A f = x B f = x C f = D f = 2 x 4 x
1 marks
Answer: D
27 T is a microwave transmitter placed at a fixed distance from a flat reflecting surface S. S T A small microwave receiver is moved from T towards S and receives signals of alternate maxima and minima of intensity. The distance between one maximum and the next is 15 mm. What is the frequency of the microwaves? A 1.0 × 107 Hz B 2.0 × 107 Hz C 1.0 × 1010 Hz D 2.0 × 1010 Hz
1 marks
Answer: C
24 The diagram represents the pattern of stationary waves formed by the superposition of sound waves from a loudspeaker and their reflection from a metal sheet (not shown). W X Y Z W, X, Y and Z are four points on the line through the centre of these waves. Which statement about these stationary waves is correct? A An antinode is formed at the surface of the metal sheet. B A node is a quarter of a wavelength from an adjacent antinode. C The oscillations at X are in phase with those at Y. D The stationary waves oscillate at right angles to the line WZ. Space for working
1 marks
Answer: B
26 A stationary wave of frequency 80.0 Hz is set up on a stretched string of length 210 cm. 210 cm What is the speed of the waves that produce this stationary wave? A 56.0 m s–1 B 112 m s–1 C 5600 m s–1 D 11 200 m s–1 Space for working
1 marks
Answer: B
25 The diagram shows a standing wave on a string. The standing wave has three nodes N1, N2 and N3. N1 N2 N3 Which statement is correct? A All points on the string vibrate in phase. B All points on the string vibrate with the same amplitude. C Points equidistant from N2 vibrate with the same frequency and in phase. D Points equidistant from N2 vibrate with the same frequency and the same amplitude.
1 marks
Answer: D
24 The diagram shows a standing wave on a string. The standing wave has three nodes N1, N2 and N3. N1 N2 N3 Which statement is correct? A All points on the string vibrate in phase. B All points on the string vibrate with the same amplitude. C Points equidistant from N2 vibrate with the same frequency and in phase. D Points equidistant from N2 vibrate with the same frequency and the same amplitude.
1 marks
Answer: D
25 The diagram shows a steel wire clamped at one end and tensioned at the other by a weight hung over a pulley. weight fixed stand vibration fixed support generator A vibration generator is attached to the wire near the clamped end. A stationary wave with one loop is produced. The frequency of the vibration generator is f. Which frequency should be used to produce a stationary wave with two loops? f f A B C 2 f D 4 f 4 2
1 marks
Answer: C
24 The diagram shows a steel wire clamped at one end and tensioned at the other by a weight hung over a pulley. weight fixed stand vibration fixed support generator A vibration generator is attached to the wire near the clamped end. A stationary wave with one loop is produced. The frequency of the vibration generator is f. Which frequency should be used to produce a stationary wave with two loops? f f A B C 2 f D 4 f 4 2 Space for working
1 marks
Answer: C
25 The diagram shows two tubes. tube X tube Y The tubes are identical except tube X is closed at its lower end while tube Y is open at its lower end. Both tubes have open upper ends. A tuning fork placed above tube X causes resonance of the air at frequency f. No resonance is found at any lower frequency than f with tube X. Which tuning fork will produce resonance when placed just above tube Y? f A a fork of frequency 2 2f B a fork of frequency 3 3f C a fork of frequency 2 D a fork of frequency 2f Space for working
1 marks
Answer: D
26 A microwave transmitter emits waves towards a metal plate. The waves strike the plate and are reflected back along their original path. incident waves T S R Q P reflected waves metal plate A microwave detector is moved along the line PT. Points P, Q, R, S and T are the positions where minima of intensity are observed. These points are found to be 15 mm apart. What is the frequency of the microwaves? A 5.0 GHz B 6.7 GHz C 10 GHz D 20 GHz
1 marks
Answer: C
23 A stationary wave is produced by two loudspeakers emitting sound of the same frequency. X Y speaker speaker 1 2 1.5 m When a microphone is moved between X and Y, a distance of 1.5 m, six nodes and seven antinodes are detected. What is the wavelength of the sound? A 0.50 m B 0.43 m C 0.25 m D 0.21 m Space for working
1 marks
Answer: A
25 The basic principle of note production in a horn is to set up a stationary wave in an air column. mouthpiece bell horn For the lowest note produced by a horn, a node is formed at the mouthpiece and the antinode is formed at the bell. The frequency of this note is 75 Hz. What are the frequencies of the next two higher notes for this air column? first higher note second higher note / Hz / Hz A 113 150 B 150 225 C 150 300 D 225 375
1 marks
Answer: D
27 The basic principle of note production in a horn is to set up a stationary wave in an air column. mouthpiece bell horn For the lowest note produced by a horn, a node is formed at the mouthpiece and the antinode is formed at the bell. The frequency of this note is 75 Hz. What are the frequencies of the next two higher notes for this air column? first higher note second higher note / Hz / Hz A 113 150 B 150 225 C 150 300 D 225 375
1 marks
Answer: D
29 Travelling waves of wavelength 20 cm are created in the air columns in a closed pipe P and an open pipe Q. The lengths of the pipes are shown. P Q 35 cm 50 cm In which pipe or pipes are stationary waves formed? A P and Q B P only C Q only D neither P nor Q Space for working
1 marks
Answer: A
27 A sound wave is set up in a long tube, closed at one end. The length of the tube is adjusted until the sound from the tube is loudest. What is the nature of the sound wave in the tube? A longitudinal and progressive B longitudinal and stationary C transverse and progressive D transverse and stationary
1 marks
Answer: B
30 Travelling waves of wavelength 20 cm are created in the air columns in a closed pipe P and an open pipe Q. The lengths of the pipes are shown. P Q 35 cm 50 cm In which pipe or pipes are stationary waves formed? A P and Q B P only C Q only D neither P nor Q
1 marks
Answer: A
30 A standing sound wave is set up between a loudspeaker and a wall. A microphone is connected to a cathode-ray oscilloscope (c.r.o.) and is moved along a line directly between the loudspeaker and the wall. The amplitude of the trace on the c.r.o. rises to a maximum at a position X, falls to a minimum and then rises once again to a maximum at a position Y. The distance between X and Y is 33 cm. The speed of sound in air is 330 m s–1. Which diagram represents the c.r.o. trace of the sound received at X? A B time base 0.50 ms / cm 1 cm time base 0.50 ms / cm 1 cm C D time base 0.50 ms / cm 1 cm time base 0.50 ms / cm 1 cm Space for working
1 marks
Answer: B
28 A musical organ produces notes by blowing air into a set of pipes that are open at one end and closed at the other. What is the lowest frequency of sound produced by a pipe of length 10 m? (The speed of sound in the pipe is 320 m s–1.) A 4 Hz B 8 Hz C 16 Hz D 32 Hz
1 marks
Answer: B
29 A horizontal glass tube, closed at one end, has a layer of dust laid inside it on its lower side. Sound is emitted from a loudspeaker that is placed near the open end of the tube. The frequency of the sound is varied and, at one frequency, a stationary wave is formed inside the tube so that the dust forms small heaps. The distance between four heaps of dust is 30 cm. glass tube loudspeaker 30 cm The speed of sound in the tube is 330 m s–1. What is the frequency of the sound emitted by the loudspeaker? A 1650 Hz B 2200 Hz C 3300 Hz D 6600 Hz
1 marks
Answer: A
26 The diagram shows an air-filled pipe open at both ends. The length of the pipe is 1.00 m and the lower surface of the inside of the pipe is covered with a layer of fine sand. 1.00 m sand When a source of sound of a single frequency is put near one end of the pipe, the air in the pipe is found to resonate and a pattern in the sand shows that a standing wave containing three nodes is formed within the pipe. The speed of sound in air is 330 m s–1. What is the frequency of the sound? A 330 Hz B 495 Hz C 990 Hz D 1320 Hz
1 marks
Answer: B
27 A stationary sound wave is formed in a measuring cylinder by blowing across the top, as shown. Which statement is correct? A The fundamental frequency of the stationary wave decreases when some water is added to the cylinder. B The stationary wave in the cylinder is caused by the superposition of two waves moving in opposite directions. C The stationary wave in the cylinder is polarised. D The stationary wave will have an antinode at the bottom of the cylinder. Space for working
1 marks
Answer: B
28 The speed of a transverse wave on a stretched string can be changed by adjusting the tension of the string. A stationary wave pattern is set up on a stretched string using an oscillator set at a frequency of 650 Hz. fixed point oscillator How must the wave be changed to maintain the same stationary wave pattern if the applied frequency is increased to 750 Hz? A Decrease the speed of the wave on the string. B Decrease the wavelength of the wave on the string. C Increase the speed of the wave on the string. D Increase the wavelength of the wave on the string.
1 marks
Answer: C
27 A transmitter of electromagnetic waves is placed 45 cm from a reflective surface. reflective surface transmitter 45 cm The emitted waves have a frequency of 1.00 GHz. A stationary wave is produced with a node at the transmitter and a node at the surface. How many antinodes are in the space between the transmitter and the surface? A 1 B 2 C 3 D 4
1 marks
Answer: C
28 The diagram shows a standing wave on a string. The standing wave has three nodes N1, N2 and N3. N1 N2 N3 Which statement is correct? A All points on the string vibrate in phase. B All points on the string vibrate with the same amplitude. C Points equidistant from N2 vibrate with the same frequency and in phase. D Points equidistant from N2 vibrate with the same frequency and the same amplitude.
1 marks
Answer: D
27 The sound from a loudspeaker placed above a tube causes resonance of the air in the tube. A stationary wave is formed with two nodes and two antinodes as shown. loudspeaker 60.0 cm The speed of sound in air is 330 m s–1. What is the frequency of the sound? A 413 Hz B 550 Hz C 830 Hz D 1650 Hz
1 marks
Answer: A
25 The diagram shows a sketch of a wave pattern, over a short period of time. 1.0 m Which description of this wave is correct? A The wave is longitudinal, has a wavelength of 20 cm and is stationary. B The wave is transverse, has a wavelength of 20 cm and is stationary. C The wave is transverse, has a wavelength of 40 cm and is progressive. D The wave is transverse, has a wavelength of 40 cm and is stationary.
1 marks
Answer: D
27 The sound from a loudspeaker placed above a tube causes resonance of the air in the tube. A stationary wave is formed with two nodes and two antinodes as shown. loudspeaker 60.0 cm The speed of sound in air is 330 m s–1. What is the frequency of the sound? A 413 Hz B 550 Hz C 830 Hz D 1650 Hz
1 marks
Answer: A
27 A stationary sound wave has a series of nodes. The distance between the first and the sixth node is 30.0 cm. What is the wavelength of the sound wave? A 5.0 cm B 6.0 cm C 10.0 cm D 12.0 cm
1 marks
Answer: D
25 A stationary wave on a stretched string is set up between two points P and T. Q S P T R vibrator Which statement about the wave is correct? A Point R is at a node. B Points Q and S vibrate in phase. C The distance between P and T is three wavelengths. D The wave shown has the lowest possible frequency. Space for working
1 marks
Answer: B
27 The basic principle of note production in a horn is to set up a stationary wave in an air column. mouthpiece bell horn For any note produced by the horn, a node is formed at the mouthpiece and an antinode is formed at the bell. The frequency of the lowest note is 75 Hz. What are the frequencies of the next two higher notes for this air column? first higher note second higher note / Hz / Hz A 113 150 B 150 225 C 150 300 D 225 375 Space for working
1 marks
Answer: D
29 A stationary wave is set up on a stretched string, as shown. Q S P R Which statement about the points on the string is correct? A Point Q vibrates with the largest amplitude. B Points P and R vibrate in phase. C Point S is an antinode. D The horizontal distance between R and S is half the wavelength.
1 marks
Answer: B
25 A stationary sound wave is produced in a tube. Which statement describes the wave speed? A It is the distance between two adjacent nodes divided by the period of the wave. B It is the speed at which energy is transferred from one antinode to an adjacent antinode. C It is the speed of a particle at an antinode. D It is the speed of one of the progressive waves that are producing the stationary wave. Space for working
1 marks
Answer: D
25 A stationary sound wave is produced in a tube. Which statement describes the wave speed? A It is the distance between two adjacent nodes divided by the period of the wave. B It is the speed at which energy is transferred from one antinode to an adjacent antinode. C It is the speed of a particle at an antinode. D It is the speed of one of the progressive waves that are producing the stationary wave. Space for working
1 marks
Answer: D
27 The variation with distance x of the intensity I along a stationary sound wave in air is shown by the following graph. I 0 0 5.0 10.0 15.0 x / cm The speed of sound in air is 340 m s–1. What is the frequency of the sound wave? A 1700 Hz B 2270 Hz C 3400 Hz D 6800 Hz
1 marks
Answer: A
29 An organ pipe of length l is open at both ends. Notes are produced by the pipe when stationary waves are set up. The speed of sound in the air column is v. What is the lowest (fundamental) frequency of the note produced by the pipe? A 2 v B v C v D v l l l2 l4
1 marks
Answer: C
28 The diagram shows a stationary wave on a string at two instants of maximum vertical displacement. 90 cm The frequency of the wave is 12 Hz. What is the speed of the wave? A 3.6 m s–1 B 7.2 m s–1 C 360 m s–1 D 720 m s–1
1 marks
Answer: B
29 A loudspeaker emitting sound of frequency f is placed at the open end of a pipe of length l which is closed at the other end. A standing wave is set up in the pipe. l loudspeaker A series of pipes are then set up with either one or two loudspeakers of frequency f. The pairs of loudspeakers vibrate in phase with each other. Which pipe contains a standing wave? l A l B 2l C 2l D
1 marks
Answer: D
27 Source S emits microwaves with a constant amplitude. The microwaves hit a metal screen P and are reflected. A stationary wave is formed between S and P. The wavelength of the microwaves is much smaller than the distance between S and P. S P Q A detector Q is moved at a slow, constant speed from S to P. What happens to the amplitude of the signal detected by Q? A decreases steadily B increases and decreases regularly C increases steadily D remains constant
1 marks
Answer: B
27 The table contains statements about stationary and progressive waves. Which row is correct? stationary wave progressive wave A all particles vibrate all particles vibrate with the same amplitude with the same amplitude B energy is transferred energy is transferred along the wave along the wave C particles in adjacent particles vibrate in phase loops vibrate in antiphase with their immediate neighbours D particles one wavelength particles one wavelength apart vibrate in phase apart vibrate in phase
1 marks
Answer: D
28 The diagram shows a tuning fork above a tube of air of length 25 cm. 25 cm A stationary wave is set up in the tube with the same frequency as the tuning fork. The lower end of the tube is sealed. This is the minimum length of tube with the lower end sealed that creates a stationary wave. Which other lengths of tubes, sealed at their lower end, will also create a stationary wave? A 37.5 cm and 50 cm B 50 cm and 75 cm C 75 cm and 100 cm D 75 cm and 125 cm
1 marks
Answer: D
30 To produce a stationary wave, two waves must travel in opposite directions through the same space. Which statement about the properties of the two waves must also be true? A The waves must have equal frequency, but a different speed and wavelength. B The waves must have equal speed, but a different wavelength and frequency. C The waves must have equal speed, frequency and wavelength. D The waves must have equal wavelength, but a different speed and frequency.
1 marks
Answer: C
24 The diagram represents the pattern of stationary waves formed by the superposition of sound waves from a loudspeaker and their reflection from a metal sheet (not shown). W X Y Z W, X, Y and Z are four points on the line through the centre of these waves. Which statement about these stationary waves is correct? A An antinode is formed at the surface of the metal sheet. B A node is a quarter of a wavelength from an adjacent antinode. C The oscillations at X are in phase with those at Y. D The air particles oscillate perpendicular to the line WZ.
1 marks
Answer: B
25 A musical instrument called a bugle is a long tube with a mouthpiece at one end. The other end is open and flared, as shown. A musician maintains stationary sound waves with a node at the mouthpiece and an antinode at the other end. The lowest frequency of sound that the bugle can produce is 92 Hz. Which different frequencies of sound can be produced by the bugle? A 92 Hz, 138 Hz, 184 Hz, 230 Hz, 276 Hz B 92 Hz, 184 Hz, 276 Hz, 368 Hz, 460 Hz C 92 Hz, 276 Hz, 460 Hz, 644 Hz, 828 Hz D 92 Hz, 276 Hz, 828 Hz, 2484 Hz, 7452 Hz
1 marks
Answer: C
24 Which statement concerning a stationary wave is correct? A All the particles between two successive nodes oscillate in phase. B The amplitude of the stationary wave is equal to the amplitude of one of the waves creating it. C The wavelength of the stationary wave is equal to the separation of two adjacent nodes. D There is no displacement of a particle at an antinode at any time.
1 marks
Answer: A
25 A stationary wave is set up on a stretched string. The diagram shows the string at two instants of time when it has maximum displacement. P The oscillations of point P on the string have amplitude A. What is the distance moved by P from the position shown in the diagram after half a time period of the wave? A 0 B A C 2A D 4A
1 marks
Answer: C
24 The diagram shows an experiment to produce a stationary wave in an air column. A tuning fork, placed above the column, vibrates and produces a sound wave. The length of the air column can be varied by altering the volume of the water in the tube. tuning fork air column water tap The tube is filled and then water is allowed to run out of it. The first two stationary waves occur when the air column lengths are 0.14 m and 0.42 m. What is the wavelength of the sound wave? A 0.14 m B 0.28 m C 0.42 m D 0.56 m
1 marks
Answer: D
28 The diagram shows a long rope fixed at one end. The other end is moved up and down, setting up a stationary wave. vibration fixed up and X Y end down What is the phase difference between the oscillations at X and at Y? A 0 B 45° C 90° D 135°
1 marks
Answer: A
24 The diagram shows an experiment to produce a stationary wave in an air column. A tuning fork, placed above the column, vibrates and produces a sound wave. The length of the air column can be varied by altering the volume of the water in the tube. tuning fork air column water tap The tube is filled and then water is allowed to run out of it. The first two stationary waves occur when the air column lengths are 0.14 m and 0.42 m. What is the wavelength of the sound wave? A 0.14 m B 0.28 m C 0.42 m D 0.56 m
1 marks
Answer: D
28 The diagram shows a long rope fixed at one end. The other end is moved up and down, setting up a stationary wave. vibration fixed up and X Y end down What is the phase difference between the oscillations at X and at Y? A 0 B 45° C 90° D 135°
1 marks
Answer: A
27 A progressive wave is incident normally on a flat reflector. The reflected wave overlaps with the incident wave and a stationary wave is formed. displaceme nt of the incident wave At an antinode, what could be the ratio at any instant? displaceme nt of the reflected wave A –1 B 0 C 1 D 2
1 marks
Answer: C
27 The diagram shows a steel wire clamped at one end. The other end is attached to a weight hanging over a pulley. weight fixed stand vibrator fixed support A vibrator is attached to the wire near the clamped end. A stationary wave with one loop is produced. The frequency of the vibrator is f. Which frequency should be used to produce a stationary wave with two loops? f f A B C 2f D 4f 4 2
1 marks
Answer: C
27 Which row describes the oscillations of two moving particles in a stationary wave that are separated by a distance of half a wavelength? phase amplitude difference A 90° different B 90° same C 180° different D 180° same
1 marks
Answer: D
26 A pipe of length 100 cm is open at both ends. A loudspeaker situated at one end of the pipe can emit sound of different wavelengths. 100 cm loudspeaker pipe At which wavelength can a stationary wave be produced in the pipe? A 50 cm B 75 cm C 150 cm D 300 cm
1 marks
Answer: A
23 A loudspeaker emits a sound wave into a tube initially full of water. loudspeaker x tube y water tap A tap at the bottom of the tube is opened so that water slowly leaves the tube. For some lengths of the air column in the tube, the sound heard is much louder. The first loud sound is heard when the air column in the tube has length x. The next time that a loud sound is heard is when the air column in the tube has length y. What is the wavelength of the sound wave from the loudspeaker? A 2x B 4y C 2(y – x) D 4(y – x)
1 marks
Answer: C
24 A vibrating tuning fork is held above a glass cylinder filled to the top with water. The water level is steadily lowered. A loud sound is first heard when the water level is 83.5 cm above the bench. The next loud sound is heard when the water level is 17.1 cm above the bench. tuning fork NOT TO cylinder SCALE water 83.5 cm water 17.1 cm The speed of sound in air is 340 m s–1. What is the frequency of the tuning fork? A 128 Hz B 256 Hz C 384 Hz D 512 Hz
1 marks
Answer: B
27 A stationary sound wave has a series of nodes. The distance between the first and the sixth node is 30.0 cm. What is the wavelength of the sound wave? A 5.0 cm B 6.0 cm C 10.0 cm D 12.0 cm
1 marks
Answer: D
28 A tube of length L is open at both ends. A stationary wave is set up in this tube when a tuning fork vibrating with frequency fx is held at one end. This is the lowest frequency of stationary wave that can be formed in this tube. Another tube of length 2L is closed at one end. A stationary wave is set up in this tube when a tuning fork vibrating with frequency fy is held at the open end. This is the lowest frequency of stationary wave that can be formed in this tube. frequency fx L frequency fy 2L Assume the end correction for each tube is negligible. Which equation is correct? yf yf A fx = 4 B fx = 2 C fx = 2fy D fx = 4fy
1 marks
Answer: D
27 A pipe, closed at one end, has a loudspeaker at the open end. A stationary sound wave is formed in the air within the pipe with an antinode at the open end of the pipe. 0.85 m loudspeaker pipe The length of the pipe is 0.85 m. The speed of sound in air is 340 m s–1. Which frequency of sound from the loudspeaker would not produce a stationary wave? A 100 Hz B 200 Hz C 300 Hz D 500 Hz
1 marks
Answer: B
24 A string is fixed at one end and the other end is attached to a vibrator. The frequency of the vibrator is slowly increased from zero. A series of stationary waves is formed. Assume that for a stationary wave there is a node at point P. string P fixed vibrator L What are the first five wavelengths of the stationary waves that could be formed? A 2 1 L , 2 2 L , 2 3 L , 2 4 L , 2 5 L B 2 2 L , 2 3 L , 2 4 L , 2 5 L , 2 6 L C 4 1 L , 4 2 L , 4 3 L , 4 4 L , 4 5 L D 4 1 L , 4 3 L , 4 5 L , 4 7 L , 4 9 L
1 marks
Answer: A
28 The diagram shows a stationary wave, at time t = 0, that has been set up on a string fixed between points P and S. X Y P Q R S The nodes of the stationary wave occur on the string at P, Q, R and S. Point X is moving down at time t = 0. The points on the string vibrate with time period T and maximum amplitude 2 cm. The displacement s is positive in the upward direction. Which graph best shows the variation with t of the displacement s of point Y on the string? A B 2 2 s / cm s / cm 0 0 0 T t 0 T t 2 2 –2 –2 C D 2 2 s / cm s / cm 0 0 0 T t 0 T t 2 2 –2 –2
1 marks
Answer: A
24 A vibrating tuning fork is held over a measuring cylinder, as shown. tuning fork water Water is then gradually poured into the measuring cylinder. A much louder sound is first heard when the water level is 2.9 cm above the base of the measuring cylinder. A second much louder sound is heard when the water level reaches a height of 67.3 cm above the base. The speed of sound in air is 330 m s–1. What is the frequency of the tuning fork? A 128 Hz B 256 Hz C 512 Hz D 1024 Hz
1 marks
Answer: B
26 What may be used to produce stationary waves? A blowing air over the top of an empty bottle B making a loud sound near a mountain C passing monochromatic light through a double slit D passing water waves through a narrow slit
1 marks
Answer: A
24 The sound from a loudspeaker placed above a tube causes resonance of the air in the tube. A stationary wave is formed with two nodes and two antinodes as shown. loudspeaker 60 cm The speed of sound in the air is 340 m s–1. What is the frequency of the sound? A 430 Hz B 570 Hz C 850 Hz D 1700 Hz
1 marks
Answer: A
27 Progressive sound waves of wavelength 20 cm enter the air columns in a closed pipe P and an open pipe Q. The lengths of the pipes are shown. P Q 35 cm 50 cm In which pipe or pipes are stationary waves formed? A P and Q B P only C Q only D neither P nor Q
1 marks
Answer: A
26 The diagram shows a stationary wave on a string. The stationary wave has three nodes N1, N2 and N3. N1 N2 N3 Which statement is correct? A All points on the string vibrate in phase. B All points on the string vibrate with the same amplitude. C Points equidistant from N2 vibrate with the same frequency and in phase. D Points equidistant from N2 vibrate with the same frequency and the same amplitude.
1 marks
Answer: D
24 A straight tube is closed at one end and has a loudspeaker positioned at the open end. The frequency of the loudspeaker is initially very low and is increased slowly. A series of loudness maxima are heard. The stationary wave which gives the first maximum has a node at the closed end and an antinode at the open end. The frequency of the loudspeaker is f1 when the first maximum is heard. What is the frequency of the loudspeaker when the fourth maximum is heard? A 7 1 f B 2f1 C 4f1 D 7f1 4
1 marks
Answer: D
27 P and Q are fixed points at the end of a string. A transverse stationary wave of constant maximum amplitude is formed on the string. x x P S R T Q P, R and Q are the only points on the string where nodes are formed. S and T are two points on the string at a distance x from R. What is the relationship between points S and T? A the same amplitude and in phase B different amplitudes and in phase C the same amplitude and a phase difference of 180° D different amplitudes and a phase difference of 180°
1 marks
Answer: C
24 A long tube, filled with water, has a tap fitted at its base, as shown. A tuning fork is sounded above the tube and the water is allowed to run gradually out of the tube. tuning fork tube water tap A louder sound is heard at intervals as the water runs out of the tube. The change in water level between louder sounds is 32 cm. What is the wavelength of the sound in the tube? A 16 cm B 32 cm C 64 cm D 128 cm
1 marks
Answer: C
27 Two progressive waves of frequency 300 Hz superpose to produce a stationary wave in which adjacent nodes are 1.5 m apart. What is the speed of the progressive waves? A 100 m s–1 B 200 m s–1 C 450 m s–1 D 900 m s–1
1 marks
Answer: D
25 In an experiment to determine the wavelength of sound in air, a stationary wave is set up in an air column. The distance between a node and an adjacent antinode is L. What is the wavelength of the sound? A 1 L B L C 2L D 4L 2
1 marks
Answer: D
26 An elastic string is attached to an oscillator at one end and clamped at the other end so that the string is horizontal and in tension. The oscillator is made to oscillate vertically. The frequency of oscillation is gradually increased from zero until a stationary wave is set up in the string. The frequency is then increased further to frequency f, when a second stationary wave is set up in the string. The frequency is then increased further. At which frequency does a third stationary wave occur? A 1.2f B 1.5f C 2.0f D 3.0f
1 marks
Answer: B
23 Source S emits microwaves with a constant amplitude. The microwaves hit a metal screen P and are reflected. A stationary wave is formed between S and P. The wavelength of the microwaves is much smaller than the distance between S and P. S P Q A detector Q is moved at a slow, constant speed from S to P. What happens to the amplitude of the signal detected by Q? A decreases steadily B increases and decreases regularly C increases steadily D remains constant
1 marks
Answer: B
25 A transmitter of electromagnetic waves is placed 45 cm from a reflective surface. reflective surface transmitter 45 cm The emitted waves have a frequency of 1.00 GHz. A stationary wave is produced with a node at the transmitter and a node at the surface. How many antinodes are in the space between the transmitter and the surface? A 1 B 2 C 3 D 4
1 marks
Answer: C
26 In an experiment to demonstrate a stationary wave, two microwave transmitters, emitting waves of wavelength 4 cm, are set facing each other, as shown. transmitter transmitter d detector A detector is moved along a straight line between the transmitters. It detects positions of maximum and minimum signal. The detector is a distance d from the left-hand transmitter. Assume that both transmitters are at antinodes of the stationary wave. Which row gives a value of d for a maximum and for a minimum? value of d for value of d for a maximum / cm a minimum / cm A 46 48 B 47 48 C 48 47 D 49 47
1 marks
Answer: C
28 The diagram shows a sketch of a wave pattern over a short period of time. 1.0 m Which description of this wave is correct? A The wave is longitudinal, has a wavelength of 20 cm and is stationary. B The wave is transverse, has a wavelength of 20 cm and is stationary. C The wave is transverse, has a wavelength of 40 cm and is progressive. D The wave is transverse, has a wavelength of 40 cm and is stationary.
1 marks
Answer: D
26 A musical instrument is made using a long tube with a mouthpiece at one end. The other end is open and flared, as shown. A musician maintains stationary sound waves with a node at the mouthpiece and an antinode at the other end. The lowest frequency of sound that the instrument can produce is 92 Hz. Which different frequencies of sound can be produced by the instrument? A 92 Hz, 138 Hz, 184 Hz, 230 Hz B 92 Hz, 184 Hz, 276 Hz, 368 Hz C 92 Hz, 276 Hz, 460 Hz, 644 Hz D 92 Hz, 276 Hz, 828 Hz, 1288 Hz
1 marks
Answer: C
24 A long glass tube is almost completely immersed in a large tank of water. A tuning fork is struck and held just above the open end of the tube as it is slowly raised. A louder sound is first heard when the height h of the end of the tube above the water is 18.8 cm. A louder sound is next heard when h is 56.4 cm. The speed of sound in air is 330 m s–1. tuning fork glass tube h water What is the frequency of the sound produced by the tuning fork? A 220 Hz B 440 Hz C 660 Hz D 880 Hz
1 marks
Answer: B
27 The diagram shows a string stretched between fixed points X and Y. There is a stationary wave on the string. S Q R X Y P T The solid curve shows the string at a position of maximum displacement. The dashed curve shows the other position of maximum displacement. The straight central dashed line shows the mean position of the string. Point S on the string is directly above point P. Point T on the string is directly below Q. Which statement is correct? A A short time later, point R on the string will be displaced. B Points S and T on the string move in opposite directions. C The distance between P and Q is one wavelength. D Two points on the string that are equal distances from point R vibrate in phase.
1 marks
Answer: B
24 The diagram shows an experiment to produce a stationary wave in an air column. A tuning fork, placed above the column, vibrates and produces a sound wave. The length of the air column can be varied by altering the volume of the water in the tube. tuning fork air column water tap The tube is filled and then water is allowed to run out of it. The first two stationary waves occur when the air column lengths are 0.14 m and 0.42 m. What is the wavelength of the sound wave? A 0.14 m B 0.28 m C 0.42 m D 0.56 m
1 marks
Answer: D
24 A loudspeaker is set up at the open end of a closed tube containing powder. When the loudspeaker produces sound of frequency 1200 Hz, a stationary wave is produced in the tube. The powder gathers at the nodes of the stationary wave as shown. loudspeaker closed end x powder The speed of sound in the air is 336 m s–1. What is the value of distance x? A 28 cm B 42 cm C 84 cm D 112 cm
1 marks
Answer: B
27 A vertical tube is partially filled with water. A sound wave moves down the tube and is reflected by the surface of the water. The frequency of the sound wave is gradually increased from zero until a much louder sound is heard. sound tube water Water is then removed from the tube until a second louder sound is heard. Which diagram shows the new pattern of the stationary wave that is formed? A B C D
1 marks
Answer: C
23 A loudspeaker emits a sound wave into a tube initially full of water. loudspeaker x tube y water tap A tap at the bottom of the tube is opened so that water slowly leaves the tube. For some lengths of the air column in the tube, the sound heard is much louder. The first loud sound is heard when the air column in the tube has length x. The next time that a loud sound is heard is when the air column in the tube has length y. What is the wavelength of the sound wave from the loudspeaker? A 2x B 4y C 2(y – x) D 4(y – x)
1 marks
Answer: C
26 Which statement concerning a stationary wave is correct? A All the particles between two adjacent nodes oscillate in phase. B The amplitude of the stationary wave is equal to the amplitude of one of the waves creating it. C The wavelength of the stationary wave is equal to the separation of two adjacent nodes. D There is no displacement of a particle at an antinode at any time.
1 marks
Answer: A
24 A vibrating tuning fork is held above a glass cylinder filled to the top with water. The water level is steadily lowered. A loud sound is first heard when the water level is 83.5 cm above the bench. The next loud sound is heard when the water level is 17.1 cm above the bench. tuning fork NOT TO cylinder SCALE water 83.5 cm water bench 17.1 cm The speed of sound in air is 340 m s–1. What is the frequency of the tuning fork? A 128 Hz B 256 Hz C 384 Hz D 512 Hz
1 marks
Answer: B
27 A stationary wave is formed on a stretched string. The diagram illustrates the string at an instant of time when the displacement of the string is at its maximum. string fixed fixed point point P The frequency of the wave is 250 Hz. Point P on the string has a vertical displacement of –1.0 mm. What will be the vertical displacement of the point P after a time of 5.0 ms? A –1.0 mm B zero C +0.5 mm D +1.0 mm
1 marks
Answer: B
23 A loudspeaker emitting a sound wave of a single frequency is placed a distance L from a reflecting surface, as shown. L reflector loudspeaker microphone path of microphone A stationary wave is formed with an antinode at the loudspeaker. A microphone is moved from the loudspeaker to the reflector. Before the microphone reaches the reflector, it detects four points where the sound intensity is a minimum. What is the wavelength of the sound wave? 2 L 2 L 4 L 4 L A B C D 9 8 9 8
1 marks
Answer: C
23 A stationary wave is formed from two identical sound waves. A microphone is placed at a position of maximum loudness. It is then moved along the stationary wave from this first position of maximum loudness to the fourth position of maximum loudness. The microphone moves a distance of 12 cm. The speed of sound is 330 m s–1. What is the frequency of the sound waves? A 4100 Hz B 5500 Hz C 8300 Hz D 11 000 Hz
1 marks
Answer: A
26 The diagram shows part of a stationary wave on a string. X and Y are points on the string. The vibrations at X and Y are 180 out of phase. X Y string positions of string when X and Y are at maximum displacement What is the distance between X and Y? A one-quarter of a wavelength B half a wavelength C one wavelength D two wavelengths
1 marks
Answer: B
27 To produce a stationary wave, two waves must travel in opposite directions through the same space. Which statement about the properties of the two waves must also be correct? A The waves must have equal frequencies, but different speeds and wavelengths. B The waves must have equal speeds, but different wavelengths and frequencies. C The waves must have equal speeds, frequencies and wavelengths. D The waves must have equal wavelengths, but different speeds and frequencies.
1 marks
Answer: C
23 A glass tube is closed at one end and has a loudspeaker at the other end. glass tube loudspeaker A stationary wave is formed with a node at the closed end of the tube when the sound has frequency f0. There are no other nodes. The frequency of the sound is then slowly increased. What is the frequency of the sound that produces the next stationary wave? A 1.25f0 B 1.50f0 C 2.00f0 D 3.00f0
1 marks
Answer: D
26 A string is fixed between point P and an oscillator M. Another string is fixed between M and point Q. M is midway between P and Q. M P Q The frequency of the oscillator is adjusted until a stationary wave is formed on both strings. The speed of the wave between P and M is twice the speed of the wave between M and Q. Which diagram could represent the stationary wave pattern? A B M M P Q P Q C D M M P Q P Q
1 marks
Answer: A
24 A stationary sound wave is formed in a pipe that is closed at one end and open at the other end. The wave has two antinodes. One of these antinodes is at the open end of the pipe. The length of the pipe is 0.600 m. The speed of sound in the air column in the pipe is 340 m s–1. What is the frequency of the sound wave? A 425 Hz B 850 Hz C 1130 Hz D 2270 Hz
1 marks
Answer: A
27 Two progressive waves travel in opposite directions and form a stationary wave. The graph shows the variation with distance x of the displacement of the stationary wave and of one of the two progressive waves at the same instant in time. progressive wave 10 displacement / mm 5 J K L 0 0 5 10 15 20 25 x / cm –5 –10 stationary wave What are the approximate displacements of the other progressive wave at the positions J, K and L? displacement / mm J K L A –5 0 –10 B –5 +5 0 C 0 +5 +10 D +5 –5 0
1 marks
Answer: A
25 A corridor is 13.2 m long and has closed doors that reflect sound at both ends. The speed of sound in the air in the corridor is 330 m s–1. 13.2 m closed door closed door wall position of node What is the lowest frequency of sound that could create a stationary wave in the corridor with a node halfway along it? A 0.040 Hz B 13 Hz C 25 Hz D 50 Hz
1 marks
Answer: C
26 A stationary wave is set up on a string that is stretched between two fixed points that are 48 cm apart. At one instant, the appearance of the string is as shown. fixed point fixed point What is the wavelength of the stationary wave? A 16 cm B 32 cm C 48 cm D 72 cm
1 marks
Answer: B
27 A pipe, closed at one end, has a loudspeaker at the open end. For some frequencies of sound from the loudspeaker, a stationary sound wave is formed in the air within the pipe with an antinode at the open end of the pipe. 0.85 m loudspeaker pipe The length of the pipe is 0.85 m. The speed of sound in air is 340 m s–1. Which frequency of sound from the loudspeaker would not produce a stationary wave? A 100 Hz B 200 Hz C 300 Hz D 500 Hz
1 marks
Answer: B
27 A stationary wave on a stretched string is set up between two points P and T. Q S P T R vibrator Which statement about the stationary wave is correct? A Point R is at a node. B Points Q and S vibrate in phase. C The distance between P and T is three wavelengths. D The wave transfers energy from P to T.
1 marks
Answer: B
27 A stationary sound wave is formed in a tube of length L that is closed at one end. The diagram shows the positions of the nodes and antinodes of the stationary wave. node node antinode antinode Which graph shows the variation of the amplitude a of the wave with distance x measured from the closed end of the tube? A B a a 0 x 0 x 0 L 0 L C D a a 0 x 0 x 0 L 0 L
1 marks
Answer: A
26 The wavelength of sound in air may be determined by using stationary waves. In one experiment, a loudspeaker produces a sound wave of constant frequency which is reflected directly back along its original path by a metal plate approximately 1m away. A microphone connected to a cathode-ray oscilloscope (CRO) is moved between the loudspeaker and plate to identify regions of high sound intensity (‘loud’ spots) and low sound intensity (‘quiet’ spots). The wavelength of the sound is determined using the least possible number of measured quantities. Which row shows the quantities that are needed? frequency mean separation speed of sound of sound of ‘quiet’ spots in air A v v x key B v x v / = needed Cc v x x X = not needed D x Jv x
1 marks
Answer: D
25 Two progressive waves overlap. What is an essential condition for the two waves to form a stationary wave? A The waves are longitudinal. B The waves are polarised. C The waves travel in opposite directions. D The waves travel in the same direction.
1 marks
Answer: C
26 In an experiment to produce a stationary sound wave in air, a fine powder is initially evenly distributed along the length of a horizontal glass tube which is closed at one end. At the open end of the tube, a loudspeaker emits a sound wave of a constant wavelength. A stationary wave is formed and the powder accumulates in regularly spaced piles, as shown. glass tube loudspeaker piles of fine powder Which statement explains the positions of the piles of powder within the tube? A The piles are where the air molecules vibrate with maximum amplitude. B The piles are where the air molecules vibrate with minimum amplitude. C The piles are where the air molecules vibrate with the highest frequency. D The piles are where the air molecules vibrate vertically.
1 marks
Answer: B
25 A musical instrument is made using a long tube with a mouthpiece at one end. The other end is open and flared, as shown. A musician maintains stationary sound waves with a node at the mouthpiece and an antinode at the other end. The lowest frequency of sound that the instrument can produce is 92 Hz. Which different frequencies of sound can be produced by the instrument? A 92 Hz, 138 Hz, 184 Hz, 230 Hz B 92 Hz, 184 Hz, 276 Hz, 368 Hz C 92 Hz, 276 Hz, 460 Hz, 644 Hz D 92 Hz, 276 Hz, 828 Hz, 1288 Hz
1 marks
Answer: C
26 Two waves of equal frequency and amplitude are travelling in opposite directions along a stretched string. When they meet, they form a stationary wave with three nodes and two antinodes. The frequency of both waves is doubled and a new stationary wave is formed. How many antinodes are there in the new stationary wave? A 1 B 2 C 3 D 4
1 marks
Answer: D
26 A string is stretched between a vibration generator and a fixed point. When the vibration generator is vibrating at a frequency f, a stationary wave with five nodes is created on the stretched string, as shown. There is a node at the end of the string that is attached to the vibration generator. fixed point vibration generator The frequency of vibration of the vibration generator is slowly increased. What is the next frequency that produces a stationary wave on the string? A 1.25f B 1.50f C 1.75f D 2.00f
1 marks
Answer: A
25 A stationary wave is formed by two progressive waves travelling in opposite directions along the same line of travel. Which statement about the two progressive waves is not correct? A They must have a constant phase difference. B They must have the same frequency. C They must have the same wavelength. D They must travel at the same speed.
1 marks
Answer: A
26 The sound from a loudspeaker placed above a tube causes resonance of the air in the tube. A stationary wave is formed with two nodes and two antinodes, as shown. loudspeaker 60 cm The tube has height 60 cm. The speed of sound in the air is 340 m s–1. What is the frequency of the sound? A 430 Hz B 570 Hz C 850 Hz D 1700 Hz
1 marks
Answer: A
25 The diagram shows a string stretched between fixed points X and Y. There is a stationary wave on the string. S Q R X Y P T The solid curve shows the string at a position of maximum displacement at time t0. The dashed curve shows the other position of maximum displacement. The straight central dashed line shows the mean position of the string. Point S on the string is directly above point P. Point T on the string is directly below point Q. Which statement is correct? A A short time after t0, point R on the string will be displaced. B A short time after t0, points S and T on the string move in opposite directions. C The distance between P and Q is one wavelength. D Two moving points on the string that are equal distances from point R vibrate in phase.
1 marks
Answer: B
26 The variation with distance x of the intensity I along a stationary sound wave in air is shown. I 0 0 5.0 10.0 15.0 x / cm The speed of sound in air is 340 m s–1. What is the frequency of the sound wave? A 1700 Hz B 2300 Hz C 3400 Hz D 6800 Hz
1 marks
Answer: A
25 What can explain how stationary waves are formed from progressive waves? A diffraction B polarisation C superposition D the Doppler effect
1 marks
Answer: C
26 A pipe has a length of 2.0 m. It is open at one end and closed at the other end. A stationary sound wave is set up within the pipe. There are four nodes (N) and four antinodes (A) within the length of the pipe. N A N A N A N A 2.0 m What is the wavelength of the sound wave? A 0.57 m B 1.1 m C 1.3 m D 1.6 m
1 marks
Answer: B
25 Which statement concerning a stationary wave is correct? A All the particles between two adjacent nodes oscillate in phase. B The amplitude of the stationary wave is equal to the amplitude of one of the waves creating it. C The wavelength of the stationary wave is equal to the separation of two adjacent nodes. D There is no displacement of a particle at an antinode at any time.
1 marks
Answer: A
26 Stationary sound waves can be formed in the air columns of pipes. One type of pipe is closed at one end and open at the other end. Another type of pipe is open at both ends. Which pipe can form a stationary sound wave with the lowest frequency? A B C D 2L 2L L L
1 marks
Answer: B
29 Two loudspeakers are connected to the same signal generator. The signal generator produces a single frequency. The loudspeakers face each other so that a stationary sound wave is set up in the region between the loudspeakers. loudspeaker microphone to CRO A microphone is connected to a cathode-ray oscilloscope (CRO) and positioned between the two loudspeakers. The microphone is moved along a line joining the two loudspeakers. The signal on the CRO shows 5 maximum amplitudes as the microphone moves. The microphone moves a distance of 2.0 m from the position that gives the first maximum to the position that gives the fifth maximum. What is the wavelength of the sound wave? A 0.40 m B 0.50 m C 0.80 m D 1.0 m
1 marks
Answer: D
23 A stationary sound wave is set up between a loudspeaker and a wall. A microphone is connected to a cathode-ray oscilloscope (CRO) and is moved along a line directly between the loudspeaker and the wall. The amplitude of the trace on the CRO rises to a maximum at a position X, falls to a minimum and then rises once again to a maximum at a position Y. The distance between X and Y is 33 cm. The speed of sound in air is 330 m s–1. Which diagram could represent the CRO trace of the sound received at X? A B time base 0.50 ms / cm 1 cm time base 0.50 ms / cm 1 cm C D time base 0.50 ms / cm 1 cm time base 0.50 ms / cm 1 cm
1 marks
Answer: B
27 A stationary sound wave is formed in the air column inside a tube that is open at both ends. The stationary wave has three nodes. How many antinodes does it have? A 1 B 2 C 3 D 4
1 marks
Answer: D
31 A horizontal glass tube, closed at one end, has a layer of dust laid inside it on its lower side. Sound is emitted from a loudspeaker that is placed near the open end of the tube. The frequency of the sound is varied and, at one frequency, a stationary wave is formed inside the tube so that the dust forms small heaps. The distance between four heaps of dust is 30 cm. glass tube loudspeaker 30 cm The speed of sound in the air in the tube is 330 m s–1. What is the frequency of the sound emitted by the loudspeaker? A 1650 Hz B 2200 Hz C 3300 Hz D 6600 Hz
1 marks
Answer: A
28 A stationary wave is set up in a stretched string. Which distance is equal to the wavelength of the wave? A double the distance between adjacent antinodes B half the distance between adjacent nodes C the distance between adjacent antinodes D the distance between a node and an adjacent antinode
1 marks
Answer: A
31 A hollow tube is closed at one end and open at the other. A stationary sound wave of the lowest possible frequency, 820 Hz, is produced in the tube. The speed of sound in air is 330 m s–1. What is the length of the tube? A 10 cm B 20 cm C 40 cm D 160 cm
1 marks
Answer: A
24 A teacher removes the turntable from a microwave oven and places a bar of chocolate in the oven. She then switches the oven on for a short time. A stationary wave is formed in the oven. When the chocolate is removed, the teacher observes that there are two small sections of melted chocolate 6.0 cm apart with unmelted chocolate in between. Each section of melted chocolate is located at an antinode. melted chocolate 6.0 cm Assume that the speed of the microwaves is 3.0 108 m s–1. What is the frequency of the microwaves emitted by the oven? A 25 MHz B 50 MHz C 2.5 GHz D 5.0 GHz
1 marks
Answer: C
30 Two waves meet. What is not a necessary condition for the waves to produce a stationary wave? A They must be of the same type. B They must have the same period. C They must have the same wavelength. D They must travel in the same direction.
1 marks
Answer: D
25 A pipe of length 100 cm is open at both ends. A loudspeaker situated at one end of the pipe can emit sound of different wavelengths. 100 cm loudspeaker pipe Which wavelength can produce a stationary wave in the pipe? A 50 cm B 75 cm C 150 cm D 300 cm
1 marks
Answer: A
29 The diagram shows a stationary wave on a stretched spring at an instant in time. P stretched Q spring Two particles on the spring, P and Q, are shown. Which statement about the vibrations of P and Q is correct? A They have different frequencies. B They have the same amplitudes. C They have different periods. D They are always in phase.
1 marks
Answer: D
30 Two progressive sound waves move in opposite directions and superpose to form a stationary wave. Which statement describes an antinode of this stationary wave? A a position where the phase difference between the two waves is always 0° B a position where the phase difference between the two waves is always 180° C a position where the stationary wave has maximum amplitude D a position where the stationary wave has minimum amplitude
1 marks
Answer: C
29 The diagram shows a stationary wave on a stretched spring at an instant in time. P stretched Q spring Two particles on the spring, P and Q, are shown. Which statement about the vibrations of P and Q is correct? A They have different frequencies. B They have the same amplitudes. C They have different periods. D They are always in phase.
1 marks
Answer: D
29 A wire is fixed at both ends and is vibrated by a source of frequency f. A stationary wave is formed on the wire with a total of two antinodes. The frequency of the source is increased to 3f and a new stationary wave is formed. What is the total number of antinodes on the new wave? A 4 B 5 C 6 D 9
1 marks
Answer: C