Progressive waves — Paper 1 · A Level Physics 9702

26 A wave of amplitude 20 mm has intensity IX. Another wave of the same frequency but of amplitude 5 mm has intensity IY. I ? What is X I Y A 2 B 4 C 16 D 256

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2004

23 A sound wave has displacement y at distance x from its source at time t. Which graph correctly shows the amplitude a and the wavelength λ of the wave? A B y y λ λ a a 0 0 0 distance x 0 distance x C D y y λ λ a a 0 0 0 time t 0 time t

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2005

24 The intensity of a progressive wave is proportional to the square of the amplitude of the wave. It is also proportional to the square of the frequency. The variation with time t of displacement x of particles in a medium, when two progressive waves P and Q pass separately through the medium, are shown on the graphs. wave P wave Q x x 2x0 x0 x0 0 0 0 t0 2t0 t 0 t0 2t0 t The intensity of wave P is I0. What is the intensity of wave Q? A ½ I0 B I0 C 8 I0 D 16 I0

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2005

25 A sound wave of frequency 150 Hz travels in water at a speed of 1500 m s–1. It then travels through the surface of the water and into air, where its speed is 300 m s–1. Which line in the table gives the correct values for the wavelengths of the sound in water and in air? wavelength in wavelength in water / m air / m A 0.10 0.10 B 0.10 0.50 C 10 2.0 D 10 50

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2005

24 A displacement-time graph is shown for a particular wave. displacement 0 time A second wave of similar type has twice the intensity and half the frequency. When drawn on the same axes, what would the second wave look like? A B displacement displacement 0 0 time time C D displacement displacement 0 0 time time

1 marks

Answer: B

This question in 9702/11 May/June 2006

25 The frequency of a certain wave is 500 Hz and its speed is 340 m s–1. What is the phase difference between the motions of two points on the wave 0.17 m apart? π π 3 π A rad B rad C rad D π rad 4 2 4

1 marks

Answer: B

This question in 9702/11 May/June 2006

24 A wave motion is described by the oscillation of particles. What is the name given to the number of complete oscillations of a particle in one second? A amplitude B frequency C wavelength D wave speed

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2006

25 A displacement-time graph for a transverse wave is shown in the diagram. X displacement 00 time Y The phase difference between X and Y can be expressed as nπ. What is the value of n? A 1.5 B 2.5 C 3.0 D 6.0

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2006

22 Sound wave X has intensity 1012 times greater than that of sound wave Y. By how much is the amplitude of X greater than the amplitude of Y? A 106 times B 3.16 × 106 times C 5 × 1011 times D 1012 times

1 marks

Answer: A

This question in 9702/11 May/June 2007

23 The graph shows the shape at a particular instant of part of a transverse wave travelling along a string. P S displacement Q 0 distance along string R Which statement about the motion of points in the string is correct? A The speed at point P is a maximum. B The displacement at point Q is always zero. C The energy at point R is entirely kinetic. D The acceleration at point S is a maximum.

1 marks

Answer: D

This question in 9702/11 May/June 2007

25 The graph shows how the height of a water surface at a point in a harbour varies with time t as waves pass the point. height p mean height t q What are p and q? p q A displacement wavelength B displacement period C amplitude wavelength D amplitude period

1 marks

Answer: B

This question in 9702/11 May/June 2008

26 The intensity I of a sound at a point P is inversely proportional to the square of the distance x of P from the source of the sound. That is 1 I ∝ . x 2 source S P Q of sound r 2r Air molecules at P, a distance r from S, oscillate with amplitude 8.0 µm. Point Q is situated a distance 2r from S. What is the amplitude of oscillation of air molecules at Q? A 1.4 µm B 2.0 µm C 2.8 µm D 4.0 µm

1 marks

Answer: D

This question in 9702/11 May/June 2008

24 The diagram shows two waves X and Y. displacement wave X 0 0 time wave Y Wave X has amplitude 8 cm and frequency 100 Hz. What are the amplitude and frequency of wave Y? amplitude / cm frequency / Hz A 2 33 B 2 300 C 4 33 D 4 300

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2008

26 The diagram represents the screen of a cathode-ray oscilloscope displaying two sound waves labelled X and Y. X Y intensity of sound wave X What is the ratio ? intensity of sound wave Y 9 3 3 1 A B C D 1 1 1 1

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2008

23 Which wave properties change when light passes from air into glass? A colour and speed B frequency and wavelength C speed and wavelength D wavelength and colour

1 marks

Answer: C

This question in 9702/11 May/June 2009

24 The light from two lasers passes through a vacuum. One laser emits red light and the other emits green light. Which property of the two laser beams must be different? A amplitude B frequency C plane of polarisation D speed

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2009

23 The light from two lasers passes through a vacuum. One laser emits red light and the other emits green light. Which property of the two laser beams must be different? A amplitude B frequency C plane of polarisation D speed

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2009

3 The diagram shows a square-wave trace on the screen of a cathode-ray oscilloscope. A grid of 1 cm squares covers the screen. The time-base setting is 10 ms cm–1. 1 cm 1 cm What is the approximate frequency of the square wave? A 70 Hz B 140 Hz C 280 Hz D 1400 Hz

1 marks

Answer: B

This question in 9702/13 May/June 2010

23 The amplitude of a wave is A and its intensity is I. Which amplitude is necessary for the intensity to be doubled to 2I ? A A2 B A C 2 A D 2A

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2010

25 The diagram shows a vertical cross-section through a water wave moving from left to right. At which point is the water moving upwards with maximum speed? B A C D Space for working

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2010

27 The graph shows how the displacement of a particle in a wave varies with time. displacement / cm 2 1 0 2 4 6 time / s _ 1 _ 2 Which statement is correct? A The wave has an amplitude of 2 cm and could be either transverse or longitudinal. B The wave has an amplitude of 2 cm and must be transverse. C The wave has an amplitude of 4 cm and could be either transverse or longitudinal. D The wave has an amplitude of 4 cm and must be transverse. Space for working

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2010

4 The diagram shows a trace of a wave on a cathode-ray oscilloscope. The vertical and horizontal gridlines have a spacing of 1.0 cm. The voltage scaling is 4 V cm–1 and the time scaling is 5 ms cm–1. 1 cm 1 cm What are the amplitude and period of the wave? amplitude / V period / ms A 1.5 4 B 5.0 10 C 6.0 20 D 12.0 20 Space for working

1 marks

Answer: C

This question in 9702/11 May/June 2011

22 The four graphs represent a progressive wave on a stretched string. Graphs A and B show how the displacement d varies with distance x along the string at one instant. Graphs C and D show how the displacement d varies with time t at a particular value of x. The labels on the graphs are intended to show the wavelength λ, the period T and the amplitude a of the wave, but only one graph is correctly labelled. Which graph is correctly labelled? A B T λ d d a 0 0 a 0 x 0 x C D λ T d d a a 0 0 0 t 0 t Space for working

1 marks

Answer: D

This question in 9702/11 May/June 2011

23 Which statement about sound waves in air at constant temperature is correct? A Amplitude is inversely proportional to velocity. B Frequency is inversely proportional to wavelength. C Velocity is proportional to wavelength. D Wavelength is proportional to amplitude.

1 marks

Answer: B

This question in 9702/11 May/June 2011

24 A source of sound of constant power P is situated in an open space. The intensity I of sound at distance r from this source is given by I = P . 4 r π 2 How does the amplitude a of the vibrating air molecules vary with the distance r from the source? A a ∝ r 1 B a ∝ 1 C a ∝ r D a ∝ r 2 r 2 Space for working

1 marks

Answer: A

This question in 9702/11 May/June 2011

26 A transverse progressive wave is set up on a string. The graph shows the variation with time of displacement for a point on this string. displacement X Y 0 0 time The separation XY on the graph represents the ……1…… of the wave. X and Y have equal ……2…… . Which words correctly complete gaps 1 and 2? 1 2 A time period amplitudes B time period displacements C wavelength amplitudes D wavelength displacements

1 marks

Answer: B

This question in 9702/12 May/June 2011

5 The diagram shows a trace of a wave on a cathode-ray oscilloscope. The vertical and horizontal gridlines have a spacing of 1.0 cm. The voltage scaling is 4 V cm–1 and the time scaling is 5 ms cm–1. 1 cm 1 cm What are the amplitude and period of the wave? amplitude / V period / ms A 1.5 4 B 5.0 10 C 6.0 20 D 12.0 20 Space for working

1 marks

Answer: C

This question in 9702/13 May/June 2011

22 A source of sound of constant power P is situated in an open space. The intensity I of sound at distance r from this source is given by I = P . 4 r π 2 How does the amplitude a of the vibrating air molecules vary with the distance r from the source? A a ∝ r 1 B a ∝ 1 C a ∝ r D a ∝ r 2 r 2

1 marks

Answer: A

This question in 9702/13 May/June 2011

23 The four graphs represent a progressive wave on a stretched string. Graphs A and B show how the displacement d varies with distance x along the string at one instant. Graphs C and D show how the displacement d varies with time t at a particular value of x. The labels on the graphs are intended to show the wavelength λ, the period T and the amplitude a of the wave, but only one graph is correctly labelled. Which graph is correctly labelled? A B T λ d d a 0 0 a 0 x 0 x C D λ T d d a a 0 0 0 t 0 t Space for working

1 marks

Answer: D

This question in 9702/13 May/June 2011

24 Which statement about sound waves in air at constant temperature is correct? A Amplitude is inversely proportional to velocity. B Frequency is inversely proportional to wavelength. C Velocity is proportional to wavelength. D Wavelength is proportional to amplitude.

1 marks

Answer: B

This question in 9702/13 May/June 2011

26 The diagram shows two sinusoidal waveforms. displacement waveform P 0 0 t / s waveform Q displacement 0 0 t / s t = 18 s At time t = 0 the waves are in phase. At the dotted line, t = 18 s. At which time is the phase difference between the two oscillations ⅛ of a cycle? A 4.0 s B 4.5 s C 8.0 s D 9.0 s Space for working

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2011

26 A surveyor’s device emits a laser pulse. What is the time taken for the pulse to travel from the device to a wall 150 m away, where it is reflected, and then return to the device? A 0.05 ns B 0.10 ns C 0.50 µs D 1.0 µs

1 marks

Answer: D

This question in 9702/12 May/June 2012

28 X and Y are two points on the surface of water in a ripple tank. A source of waves of constant frequency begins to generate waves which then travel past X and Y, causing them to oscillate. waves Y water surface X What is the phase difference between X and Y? A 45° B 135° C 180° D 270° Space for working

1 marks

Answer: D

This question in 9702/12 May/June 2012

26 The diagram shows a graph of displacement against time for a sound wave. displacement 00 time The intensity of the sound is halved. Which graph shows the displacement of this sound wave? A B displacement displacement 00 00 time time C D displacement displacement 00 00 time time Space for working

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2012

29 A health inspector is measuring the intensity of a sound. Near a loudspeaker, his meter records an intensity I. This corresponds to an amplitude A of the sound wave. At another position, the meter gives an intensity reading of 2I. What is the corresponding amplitude of the sound wave? A A B 2 A C 2A D 4A 2 Space for working

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2012

4 A wave has a frequency of 5 GHz. What is the period of the wave? A 20 000 µs B 20 ns C 2 ns D 200 ps

1 marks

Answer: D

This question in 9702/11 May/June 2013

24 A light wave of amplitude A is incident normally on a surface of area S. The power per unit area reaching the surface is P. The amplitude of the light wave is increased to 2A. The light is then focussed on to a smaller 1 S . area 3 What is the power per unit area on this smaller area? A 36P B 18P C 12P D 6P Space for working

1 marks

Answer: C

This question in 9702/11 May/June 2013

25 A wave has a speed of 340 m s–1 and a period of 0.28 ms. What is its wavelength? A 0.095 m B 95 m C 1.2 × 103 m D 1.2 × 106 m

1 marks

Answer: A

This question in 9702/11 May/June 2013

25 The diagram shows two waves X and Y. displacement wave X 0 0 0 0 time wave Y Wave X has amplitude 8 cm and frequency 100 Hz. What are the amplitude and the frequency of wave Y? amplitude / cm frequency / Hz A 2 33 B 2 300 C 4 33 D 4 300

1 marks

Answer: D

This question in 9702/12 May/June 2013

26 A sound wave has displacement y at distance x from its source at time t. Which graph correctly shows the amplitude a and the wavelength λ of the wave? A B y y λ λ a a 0 0 0 distance x 0 distance x C D y y λ λ a a 0 0 0 time t 0 time t

1 marks

Answer: B

This question in 9702/13 May/June 2013

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

This question in 9702/11 Oct/Nov 2013

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

This question in 9702/12 Oct/Nov 2013

25 The graph shows how the height of the water surface at a point in a harbour varies with time t as waves pass the point. height p mean height t q What are p and q? p q A displacement period B displacement wavelength C amplitude period D amplitude wavelength Space for working

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2013

24 The speed v of waves in deep water is given by the equation g λ v 2 = 2 π where λ is the wavelength of the waves and g is the acceleration of free fall. A student measures the wavelength λ and the frequency f of a number of these waves. Which graph should he plot to give a straight line through the origin? A f 2 against λ B f against λ2 C 1 f against λ D f 2 against λ 1

1 marks

Answer: D

This question in 9702/11 May/June 2014

22 What, to two significant figures, are the period, the frequency and the amplitude of the wave represented by the graph? 10 displacement / mm 0 time / ms 0 2 4 6 8 10 12 –10 period frequency amplitude / s / Hz / m A 0.0027 370 0.0067 B 0.0031 320 0.013 C 0.0035 290 0.0067 D 0.0042 240 0.013 Space for working

1 marks

Answer: C

This question in 9702/12 May/June 2014

23 A sound wave consists of a series of moving pressure variations from the normal, constant air pressure. The graph shows these pressure variations for two waves at one instant in time. pressure variation wave 2 / 10–2 Pa wave 1 3.0 2.0 1.0 0 distance 0 1.0 2.0 3.0 / m –1.0 –2.0 –3.0 Wave 1 has an intensity of 1.6 × 10–6 W m–2. What is the intensity of wave 2? A 2.4 × 10–6 W m–2 B 3.0 × 10–6 W m–2 C 3.6 × 10–6 W m–2 D 4.5 × 10–6 W m–2 Space for working

1 marks

Answer: C

This question in 9702/12 May/June 2014

24 The diagram shows a vertical cross-section through a water wave moving from left to right. At which point is the water moving upwards with maximum speed? B A C D

1 marks

Answer: C

This question in 9702/12 May/June 2014

25 A cathode-ray oscilloscope (c.r.o.) displays a waveform corresponding to a sound wave. In order to determine the frequency of the sound wave, which part of the displayed waveform must be measured and which c.r.o. setting must be known? on-screen c.r.o. setting measurement A amplitude time-base B amplitude Y-gain C wavelength time-base D wavelength Y-gain Space for working

1 marks

Answer: C

This question in 9702/13 May/June 2014

27 A small source emits spherical waves. P r source The wave intensity I at any point P, a distance r from the source, is inversely proportional to r 2. What is the relationship between the wave amplitude a and the distance r ? A a2 ∝ r 1 B a ∝ r 1 C a ∝ 1 D a ∝ 1 r r 2 4 Space for working

1 marks

Answer: B

This question in 9702/13 May/June 2014

23 When sound travels through air, the air particles vibrate. A graph of displacement against time for a single air particle is shown. displacement 0 0 T 2T time Which graph best shows how the kinetic energy of the air particle varies with time? A B kinetic kinetic energy energy 0 0 0 T 2T time 0 T 2T time C D kinetic kinetic energy energy 0 0 0 T 2T time 0 T 2T time Space for working

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2014

26 Which statement about waves is correct? A All electromagnetic waves travel at the same speed in a vacuum. B Longitudinal waves can be polarised. C The amplitude of a wave is directly proportional to the energy transferred by the wave. D The frequency of infra-red light is greater than the frequency of ultra-violet light. Space for working

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2014

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

This question in 9702/13 Oct/Nov 2014

4 A whale produces sound waves of frequency 5 Hz. The waves are detected by a microphone and displayed on an oscilloscope. What is the time-base setting on the oscilloscope? A 0.1 ms div–1 B 1 ms div–1 C 10 ms div–1 D 100 ms div–1

1 marks

Answer: D

This question in 9702/11 May/June 2015

24 A sound wave moves with a speed of 320 m s–1 through air. The variation with time of the displacement of an air particle due to this wave is shown in the graph. displacement 0.2 / mm 0 0 2 4 6 8 10 time / ms –0.2 Which statement about the sound wave is correct? A The frequency of the wave is 500 Hz. B The graph shows that sound is a transverse wave. C The intensity of the wave will be doubled if its amplitude is increased to 0.4 mm. D The wavelength of the sound wave is 1.28 m.

1 marks

Answer: D

This question in 9702/11 May/June 2015

25 A wave of frequency 15 Hz travels at 24 m s–1 through a medium. What is the phase difference between two points 2 m apart? A There is no phase difference. B They are out of phase by a quarter of a cycle. C They are out of phase by half a cycle. D They are out of phase by 0.8 of a cycle.

1 marks

Answer: B

This question in 9702/11 May/June 2015

26 A wave of amplitude a has an intensity of 3.0 Wm–2. What is the intensity of a wave of the same frequency that has an amplitude 2a? A 4.2 Wm–2 B 6.0 Wm–2 C 9.0 Wm–2 D 12 Wm–2

1 marks

Answer: D

This question in 9702/11 May/June 2015

24 Two light waves of the same frequency are represented by the diagram. displacement 0 0 100 200 300 400 500 600 phase angle / ° What could be the phase difference between the two waves? A 150° B 220° C 260° D 330°

1 marks

Answer: C

This question in 9702/12 May/June 2015

25 A sound wave has a speed of 330 m s–1 and a frequency of 50 Hz. What is a possible distance between two points on the wave that have a phase difference of 60°? A 0.03 m B 1.1 m C 2.2 m D 6.6 m

1 marks

Answer: B

This question in 9702/12 May/June 2015

25 A cathode-ray oscilloscope (c.r.o.) is used to display the trace from a sound wave. The time-base is set at 5 µs mm–1. 1 cm 1 cm What is the frequency of the sound wave? A 6.7 Hz B 67 Hz C 6.7 kHz D 67 kHz

1 marks

Answer: C

This question in 9702/13 May/June 2015

26 A wave pulse moves along a stretched rope in the direction shown. P Which diagram correctly shows the variation with time t of the displacement s of the particle P in the rope? A B s s t t C D s s t t

1 marks

Answer: D

This question in 9702/13 May/June 2015

24 A sound wave is displayed on the screen of a cathode-ray oscilloscope, as shown. The time-base setting is 0.50 ms per division. What is the frequency of the sound wave? A 250 Hz B 500 Hz C 670 Hz D 1300 Hz

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2015

26 The diagram shows the screen of a cathode-ray oscilloscope (c.r.o.) displaying a wave. The time-base of the c.r.o. is set at 10 ms / div. What is the frequency of the wave? A 0.24 Hz B 4.2 Hz C 12 Hz D 24 Hz

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2015

22 When all the other features of a wave are constant, which relationship is correct? A Amplitude is directly proportional to velocity. B Intensity is directly proportional to amplitude. C Velocity is directly proportional to wavelength. D Wavelength is directly proportional to frequency.

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2015

23 A vibrating rod makes a water wave in a ripple tank. The graph shows the displacement of the wave at one instant as it travels away from the rod. The wave speed is 2.0 cm s–1. displacement 4 / mm 2 0 0 0.4 0.8 1.2 distance / cm –2 –4 What is the frequency of the wave? A 0.8 Hz B 1.6 Hz C 2.5 Hz D 5.0 Hz

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2015

22 The graph shows the variation with time of the displacement of two separate waves X and Y. displacement wave Y 0 0 time wave X Wave X has frequency f and amplitude A. What is the frequency and what is the amplitude of wave Y? frequency amplitude A 1 f 1 A 2 2 B 1 f 2A 2 C 2f 1 A 2 D 2f 2A

1 marks

Answer: B

This question in 9702/12 Feb/March 2016

22 Two sound waves have frequencies of 250 Hz and 300 Hz. The speed of sound is 340 m s–1. What is the difference between the wavelengths of the two waves? A 0.23 m B 1.1 m C 1.4 m D 6.8 m

1 marks

Answer: A

This question in 9702/11 May/June 2016

22 A microphone connected to the Y-plates of a cathode-ray oscilloscope (c.r.o.) is placed in front of a loudspeaker. The trace on the screen of the c.r.o. is shown. 1 cm 1 cm The time-base setting is 0.5 ms cm–1 and the Y-plate sensitivity is 0.2 mV cm–1. What is the frequency of the sound from the loudspeaker and what is the amplitude of the trace on the c.r.o.? frequency amplitude / Hz / mV A 330 0.6 B 330 1.2 C 670 0.6 D 670 1.2

1 marks

Answer: A

This question in 9702/12 May/June 2016

25 The intensity I of sound is inversely proportional to the square of the distance x from the source of the sound. This can be represented as 1 I ∝ . x 2 source S P Q of sound r 2r Air molecules at point P, a distance r from the source S, oscillate with amplitude 8.0 µm. Point Q is situated a distance 2r from S. What is the amplitude of oscillation of air molecules at Q? A 1.4 µm B 2.0 µm C 2.8 µm D 4.0 µm

1 marks

Answer: D

This question in 9702/13 May/June 2016

25 The graph shows the variation with time of the displacement X of a gas molecule as a continuous sound wave passes through a gas. X 0 0 125 250 375 500 625 750 875 1000 time / µs The velocity of sound in the gas is 330 m s–1. All the graphs below have the same zero time as the graph above. What is the displacement-time graph for a molecule that is a distance of 0.165 m further away from the source of the sound? A B X X 0 0 0 125 250 375 500 625 750 875 1000 0 125 250 375 500 625 750 875 1000 time / µs time / µs C D X X 0 0 0 125 250 375 500 625 750 875 1000 0 125 250 375 500 625 750 875 1000 time / µs time / µs

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2016

25 The graph shows the variation with time of the displacement X of a gas molecule as a continuous sound wave passes through a gas. X 0 0 125 250 375 500 625 750 875 1000 time / µs The velocity of sound in the gas is 330 m s–1. All the graphs below have the same zero time as the graph above. What is the displacement-time graph for a molecule that is a distance of 0.165 m further away from the source of the sound? A B X X 0 0 0 125 250 375 500 625 750 875 1000 0 125 250 375 500 625 750 875 1000 time / µs time / µs C D X X 0 0 0 125 250 375 500 625 750 875 1000 0 125 250 375 500 625 750 875 1000 time / µs time / µs

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2016

22 What is the relationship between the amplitude of a wave and its intensity? A amplitude ∝ intensity B amplitude ∝ (intensity)2 C amplitude ∝ intensity D (amplitude)2 ∝ intensity

1 marks

Answer: C

This question in 9702/12 Feb/March 2017

24 The diagram shows two waves R and S. displacement wave R 0 0 wave S time Wave R has an amplitude of 8 cm and a period of 30 ms. What are the amplitude and the period of wave S? amplitude / cm period / ms A 2 10 B 2 90 C 4 10 D 4 90

1 marks

Answer: C

This question in 9702/12 Feb/March 2017

22 A longitudinal wave travels through a long spring. The spring is shown at one instant. What is the wavelength of the wave? spring A B C D

1 marks

Answer: B

This question in 9702/11 May/June 2017

23 A sound wave has a frequency of 2500 Hz and a speed of 1500 m s–1. What is the shortest distance from a point of maximum pressure in the wave to a point of minimum pressure? A 0.15 m B 0.30 m C 0.60 m D 1.20 m

1 marks

Answer: B

This question in 9702/11 May/June 2017

24 A sound wave is displayed on the screen of a cathode-ray oscilloscope (c.r.o.) as shown. 1 cm The time-base of the c.r.o. is set at 2.5 ms cm–1. What is the frequency of the sound wave? A 50 Hz B 100 Hz C 200 Hz D 400 Hz

1 marks

Answer: B

This question in 9702/11 May/June 2017

22 The period of an electromagnetic wave is 1.0 ns. What are the frequency and wavelength of the wave? frequency / Hz wavelength / m A 1.0 3.0 × 108 B 1.0 × 106 300 C 1.0 × 109 0.30 D 1.0 × 1012 3.0 × 10–4

1 marks

Answer: C

This question in 9702/12 May/June 2017

24 A bicycle gear wheel is a disc with 50 ‘teeth’ equally spaced around its edge, as shown. The gear wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth’. The metal strip produces a sound of frequency that is equal to the frequency of vibration of the strip. gear wheel fixed clamp springy strip of metal teeth The speed of sound in air is 330 m s–1. What is the wavelength of the emitted sound? A 0.66 m B 1.5 m C 6.6 m D 500 m

1 marks

Answer: A

This question in 9702/12 May/June 2017

22 A transverse wave travels along a rope. The graph shows the variation of the displacement of the particles in the rope with distance along it at a particular instant. direction of travel of wave displacement 0 distance / m 0 1.0 2.0 3.0 At which distance along the rope do the particles have maximum upwards velocity? A 0.5 m B 1.0 m C 1.5 m D 2.0 m

1 marks

Answer: A

This question in 9702/13 May/June 2017

22 The displacement-time graph for a layer of air in the path of a sound wave is shown. displacement 0 0 time Which wave quantity is increasing? A amplitude B frequency C period D wavelength

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2017

22 The graph shows how the displacement of a particle in a wave varies with time. displacement / cm 2 1 0 0 2 4 6 time / s –1 –2 Which statement is correct? A The wave has a period of 2 s and could be either transverse or longitudinal. B The wave has a period of 2 s and must be transverse. C The wave has a period of 4 s and could be either transverse or longitudinal. D The wave has a period of 4 s and must be transverse.

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2017

23 A wave travels along a coiled spring. The graph shows the variation with time of the displacement of a point on the spring. displacement 0 0 0.1 0.2 0.3 0.4 0.5 time / s What is the frequency of the wave? A 0.13 Hz B 0.20 Hz C 5.0 Hz D 7.5 Hz

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2017

24 An electrical signal is displayed on a cathode-ray oscilloscope (c.r.o.). The time-base setting is 50 ms div–1. The Y-gain setting is 2 V div–1. What is the amplitude of the signal? A 2 V B 4 V C 5 V D 10 V

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2017

28 An electromagnetic wave travels in a straight line through a vacuum. The wave has a frequency of 6.0 THz. What is the number of wavelengths in a distance of 1.0 m along the wave? A 5.0 × 10–5 B 2.0 × 101 C 2.0 × 104 D 5.0 × 107

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2017

21 A wave pulse moves along a stretched rope in the direction shown. P Which diagram shows the variation with time t of the displacement s of the particle P in the rope? A B s s 0 0 0 t 0 t C D s s 0 0 0 t 0 t

1 marks

Answer: D

This question in 9702/12 Feb/March 2018

22 A wave has period T, wavelength λ and amplitude A. The wave is shown on a graph of displacement x against distance d. Which graph is correctly labelled? A B x x A A 0 0 0 d 0 d λ T C D x T x A A 0 0 0 d 0 d λ

1 marks

Answer: A

This question in 9702/12 Feb/March 2018

20 A transverse progressive wave is set up on a string. The graph shows the variation with time of displacement for a point on this string. displacement X Y 0 0 time The separation XY on the graph represents the ««1«« of the wave. X and Y have equal ««2«« . Which words correctly complete gaps 1 and 2? 1 2 A time period amplitudes B time period displacements C wavelength amplitudes D wavelength displacements

1 marks

Answer: B

This question in 9702/11 May/June 2018

23 The diagram shows the screen of a cathode-ray oscilloscope (c.r.o.) displaying a wave. The time-base of the c.r.o. is set at 10 ms / division. What is the frequency of the wave? A 0.24 Hz B 4.2 Hz C 12 Hz D 24 Hz

1 marks

Answer: D

This question in 9702/12 May/June 2018

26 The diagram shows apparatus for the measurement of the frequency of a sound wave. D microphone source of sound metal plate Sound of the unknown frequency is reflected back from a metal plate. A microphone placed at a distance D from the metal plate detects the sound intensity. A minimum intensity is detected with D = 12.0 cm. The plate is moved further away from the microphone until the next minimum is detected with D = 15.0 cm. The speed of sound in air is 336 m s–1. What is the frequency of the sound? A 56 Hz B 112 Hz C 5600 Hz D 11 200 Hz

1 marks

Answer: C

This question in 9702/12 May/June 2018

20 The displacement-distance graph for a transverse progressive wave is shown. X displacement 0 0 distance Y The phase difference between points X and Y can be expressed as (180 n)°. What is the value of n? A 1.5 B 2.5 C 3.0 D 6.0

1 marks

Answer: C

This question in 9702/13 May/June 2018

21 The four graphs represent a progressive wave on a stretched string. Graphs A and B show how the displacement d varies with distance x along the string at one instant. Graphs C and D show how the displacement d varies with time t at a particular value of x. The labels on the graphs are intended to show the wavelength λ, the period T and the amplitude a of the wave, but only one graph is correctly labelled. Which graph is correctly labelled? A B T λ d d a 0 0 a 0 x 0 x C D λ T d d a a 0 0 0 t 0 t

1 marks

Answer: D

This question in 9702/13 May/June 2018

22 A cathode-ray oscilloscope (c.r.o.) is used to determine the frequency of a sound wave. The diagram shows the waveform on the screen. The time-base setting is 5.0 ms / div. What is the frequency of the sound wave? A 57 Hz B 71 Hz C 114 Hz D 143 Hz

1 marks

Answer: B

This question in 9702/13 May/June 2018

21 The graph shows the variation of a quantity P with a quantity Q for a sound wave travelling in air. P 0 0 Q What could P and Q be? P Q A amplitude intensity B frequency wavelength C speed frequency D wavelength period

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2018

22 A vibration generator produces a progressive wave on a rope. The diagram shows the rope at one instant. The wave travels at a speed of 4.0 m s–1. rope 4.0 m s–1 length / m 0 0.2 0.4 0.6 0.8 What are the wavelength and the frequency of the wave? wavelength frequency / m / Hz A 0.13 15 B 0.13 30 C 0.27 15 D 0.27 30

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2018

23 The diagram shows the waveform of a signal displayed on a cathode-ray oscilloscope. The time-base is set at 5.0 ms per division. The Y-gain is set at 5.0 mV per division. What are the amplitude and the frequency of the signal? amplitude frequency / mV / Hz A 10 50 B 10 100 C 20 50 D 20 100

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2018

22 A progressive wave on a wire has a frequency of 10 Hz. Two points on the wire, separated by a distance of 0.25 m, have a phase difference of 22.5°. What is the maximum speed of the wave? A 2.5 m s–1 B 10 m s–1 C 20 m s–1 D 40 m s–1

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2018

21 A progressive sound wave in air has amplitude x0 and intensity I. The amplitude of the wave increases to 3x0. What is the new intensity of the wave? I I A B C 3I D 9I 9 3

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2018

22 The variation with distance x of the displacement y of a transverse wave on a rope is shown at time t = 0. The wave has a frequency of 0.5 Hz. A point X on the rope is marked. The diagram shows the original position of X and four new positions. What is the position of X at time t = 1 s? direction of C D propagation y X A 0 0 x B

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2018

23 A sound wave is detected by a microphone. The output from the microphone is connected to the Y-input of a cathode-ray oscilloscope (c.r.o.). The trace on the c.r.o. is shown. The time-base is set at 0.20 ms per division. What is the frequency of the sound wave? A 1000 Hz B 1250 Hz C 2000 Hz D 2500 Hz

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2018

22 A sound wave passes through air. The diagram shows the positions of the molecules of the air at one instant. P Q R S Which distance is equal to the wavelength of the wave? A PQ B PS C QR D QS

1 marks

Answer: D

This question in 9702/12 Feb/March 2019

23 The top row of bars represents a set of particles inside the Earth and at rest. The lower row represents the same particles at one instant as a longitudinal wave passes from left to right through the Earth. What should be measured to determine the amplitude of the oscillations of the particles in the lower row as the wave passes? A half the maximum displacement of the particles from their position at rest B half the maximum distance apart of the particles C the maximum displacement of the particles from their position at rest D the maximum distance apart of the particles

1 marks

Answer: C

This question in 9702/12 Feb/March 2019

4 A whale produces sound waves of frequency 5 Hz. The waves are detected by a microphone and displayed on an oscilloscope. What is the time-base setting on the oscilloscope? A 0.1 ms div–1 B 1 ms div–1 C 10 ms div–1 D 100 ms div–1

1 marks

Answer: D

This question in 9702/11 May/June 2019

22 A transverse wave in a medium has the waveform shown, where y = vertical displacement and x = horizontal distance. The speed of the wave is 20.0 cm s–1. +1.0 y / mm 0 x / cm 0 2.0 4.0 6.0 8.0 –1.0 A particle of the medium oscillates vertically. Which graph of vertical displacement y against time t best represents the motion of this particle? A B +1.0 +1.0 y / mm y / mm 0 t / s 0 t / s 0 0.10 0.20 0 2.0 4.0 –1.0 –1.0 C D +2.0 +2.0 y / mm y / mm 0 0 0 4.0 8.0 0 5.0 10.0 t / s t / s

1 marks

Answer: A

This question in 9702/11 May/June 2019

23 The graph shows the variation of the displacement of particles with distance along a transverse wave at an instant in time. The wave is moving to the right. Which position along the wave corresponds to a point where particles in the wave are travelling the fastest upwards? direction of D travel of wave displacement 0 0 A C distance B

1 marks

Answer: A

This question in 9702/11 May/June 2019

23 The diagram illustrates the position of particles in a progressive sound wave at one instant in time. P Q L The speed of the wave is v. P and Q are two points in the wave a distance L apart. What is an expression for the frequency of the wave? A v B v C 2 v D L 2 L L L v

1 marks

Answer: A

This question in 9702/12 May/June 2019

24 A wave moves along the surface of water. The diagram shows the variation of displacement s with distance along the wave at time t = 0. direction of travel s P distance 0 0 along wave Which graph best shows the variation with time t of the displacement s of the point P on the wave? s A 0 t 0 s B 0 t 0 s C 0 t 0 s D 0 t 0

1 marks

Answer: D

This question in 9702/12 May/June 2019

28 A cathode-ray oscilloscope (CRO) is used to display the trace from a sound wave. The time-base is set at 5 µs mm–1. 1 cm 1 cm What is the frequency of the sound wave? A 6.7 Hz B 67 Hz C 6.7 kHz D 67 kHz

1 marks

Answer: C

This question in 9702/12 May/June 2019

21 The graph shows the variation of displacement y with distance x along a progressive wave at one instant in time. y Q 0 0 x P What is the phase difference between points P and Q on the wave? A 90° B 270° C 540° D 630°

1 marks

Answer: C

This question in 9702/13 May/June 2019

22 Wave-power generators take advantage of the energy that is transferred by the motion of waves across the surface of the oceans. The energy of a wave depends on its amplitude. What is the correct definition of amplitude? A the average amount of energy possessed by a wave B the difference in displacement between a peak and a trough C the maximum displacement of a point on the wave from equilibrium D the number of oscillations of a wave that occur per second

1 marks

Answer: C

This question in 9702/13 May/June 2019

23 A sound wave of frequency 270 Hz is recorded by a cathode-ray oscilloscope (CRO). The waveform on the CRO is shown. 1 cm What is the time-base setting on the CRO? A 0.1 ms cm–1 B 1 ms cm–1 C 10 ms cm–1 D 100 ms cm–1

1 marks

Answer: B

This question in 9702/13 May/June 2019

21 A transverse wave on a rope has wavelength λ and period T. The graph shows the variation of the displacement of the particles of the rope with distance in the direction of travel of the wave at time t = 0. direction displacement of travel X 0 0 λ distance A particle X is labelled. Which graph shows the variation of the displacement of particle X with time t ? A B displacement displacement 0 0 0 T t 0 T t C D displacement displacement 0 0 0 T t 0 T t

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2019

20 A transverse wave is travelling along a rope. The frequency of the wave is 2.0 Hz. The graph shows the variation with distance of the displacement of the wave at time t ꞊ 0. direction of wave travel displacement 0 2 4 6 8 10 distance / m Which diagram shows the position of the wave at time t = 0.5 s? displacement A 0 2 4 6 8 10 distance / m displacement B 0 2 4 6 8 10 distance / m displacement C 0 2 4 6 8 10 distance / m displacement D 0 2 4 6 8 10 distance / m

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2019

21 The two graphs represent the same wave. Graph 1 shows the variation with time of the displacement at a particular distance. Graph 2 shows the variation with distance of the displacement at one instant. displacement displacement distance 0 time / s 0 0 0.5 1.0 0 30 60 90 / cm graph 1 graph 2 What is the speed of the wave? A 22.5 cm s–1 B 30.0 cm s–1 C 90.0 cm s–1 D 120 cm s–1

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2019

22 A microphone is connected to a cathode-ray oscilloscope (CRO). When a tuning fork is struck and then held next to the microphone, the following waveform is shown on the display of the CRO. The time-base setting on the CRO is 2.00 ms per division. What is the best estimate of the frequency of the sound produced by the tuning fork? A 63 Hz B 170 Hz C 250 Hz D 500 Hz

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2019

22 The graph represents a sound wave. 3 displacement / µm 0 0 5 10 15 20 25 30 35 40 45 50 55 time / ms –3 Which statement is correct? A The wave is longitudinal and has a period of 25 ms. B The wave is longitudinal and has a frequency of 50 Hz. C The wave is transverse and has an amplitude of 3 µm. D The wave is transverse and has a wavelength of 20 ms.

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2019

23 A cathode-ray oscilloscope (CRO) is used to display a wave of frequency 5.0 kHz. The display is shown. 1 cm 1 cm What is the time-base setting of the CRO? A 10 µs cm–1 B 100 µs cm–1 C 10 ms cm–1 D 100 ms cm–1

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2019

25 A source of sound of constant power P is situated in an open space. The intensity I of sound at distance r from this source is given by I = P . 4 r π 2 How does the amplitude a of the vibrating air molecules vary with the distance r from the source? A a ∝ r 1 B a ∝ r 1 C a ∝ r D a ∝ r 2 2

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2019

27 The graph shows how the height of the water surface at a point in a harbour varies with time t as waves pass the point. height p mean height t q What are p and q? p q A displacement period B displacement wavelength C amplitude period D amplitude wavelength

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2019

21 A wave of frequency 15 Hz travels at 24 m s–1 through a medium. What is the phase difference between two points 2.0 m apart? A There is no phase difference. B They are out of phase by a quarter of a cycle. C They are out of phase by half a cycle. D They are out of phase by 0.80 of a cycle.

1 marks

Answer: B

This question in 9702/12 Feb/March 2020

23 A sound wave is displayed on the screen of a cathode-ray oscilloscope, as shown. The time-base setting is 0.50 ms per division. What is the frequency of the sound wave? A 500 Hz B 670 Hz C 1000 Hz D 1300 Hz

1 marks

Answer: B

This question in 9702/12 Feb/March 2020

22 A sound wave reduces in intensity but maintains a constant frequency as it travels through air. Which statement is correct? A The maximum displacement of the particles changes between one particle and the next particle. B The phase difference between adjacent particles is zero. C The wavelength is the distance between two particles that have a phase difference of 180°. D Two particles that have a phase difference of 360° have the same maximum displacement.

1 marks

Answer: A

This question in 9702/11 May/June 2020

23 The graph shows the variation with time of the displacement of an electromagnetic wave at a point. displacement 3.0 arbitrary units 0 0 5 10 15 20 25 30 35 40 45 50 55 –3.0 time / µs The wave is travelling in a vacuum. What is the amplitude and what is the wavelength of the wave? amplitude wavelength / arbitrary units / m A 3.0 6000 B 6.0 6000 C 3.0 7500 D 6.0 7500

1 marks

Answer: A

This question in 9702/11 May/June 2020

21 A transverse wave is moving along a rope. Two points X and Y on the rope are a quarter of a wavelength apart from each other. Which statement is not possible for the two points X and Y at any instant? A They are both stationary. B They are displaced in opposite directions from their equilibrium position. C They are moving in opposite directions. D They both have displacements of the same magnitude from their equilibrium positions.

1 marks

Answer: A

This question in 9702/12 May/June 2020

22 Two progressive waves meet at a fixed point P. The variation with time of the displacement of each wave at point P is shown in the graph. displacement 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 time / s What is the phase difference between the two waves at point P? A 45° B 90° C 135° D 180°

1 marks

Answer: C

This question in 9702/12 May/June 2020

23 A microphone connected to the Y-plates of a cathode-ray oscilloscope (CRO) is placed in front of a loudspeaker. The trace on the screen of the CRO is shown. 1 cm 1 cm The time-base setting is 0.5 ms cm–1 and the Y-plate sensitivity is 0.2 mV cm–1. What is the frequency of the sound from the loudspeaker and what is the amplitude of the trace on the CRO? frequency amplitude / Hz / mV A 330 0.6 B 330 1.2 C 670 0.6 D 670 1.2

1 marks

Answer: A

This question in 9702/12 May/June 2020

22 A wave of amplitude A has an intensity I. I . After passing through a certain medium, the wave has a new intensity of 4 What is the new amplitude of the wave? A 2A B A C A D A 2 4 16

1 marks

Answer: B

This question in 9702/13 May/June 2020

23 A wave travels along a coiled spring. The graph shows the variation with time of the displacement of a point on the spring. displacement 0 0 0.1 0.2 0.3 0.4 0.5 time / s What is the frequency of the wave? A 0.13 Hz B 0.20 Hz C 5.0 Hz D 7.5 Hz

1 marks

Answer: D

This question in 9702/13 May/June 2020

21 A guitar string vibrates to create a sound. The speed of the wave in the guitar string is always 440 m s–1. The vibrating string creates a sound wave that moves in the air with a speed of 330 m s–1. Which graph shows the variation of frequency f with the wavelength  for the waves in the string and in the air? A B C D f air f string f f string air air string air string 0 0 0 0 0 λ 0 λ 0 λ 0 λ

1 marks

Answer: C

This question in 9702/11 Oct/Nov 2020

22 The graph shows the variation with time of displacement for two different waves X and Y. displacement wave Y 0 0 time wave X Wave X has frequency f and amplitude A. What is the frequency and what is the amplitude of wave Y? frequency amplitude A 1 f 1 A 2 2 B 1 f 2A 2 C 2f 1 A 2 D 2f 2A

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2020

22 The speed v of waves in deep water is given by the equation g  v 2 = 2  where  is the wavelength of the waves and g is the acceleration of free fall. A student measures the wavelength  and the frequency f of a number of these waves. Which graph should he plot to give a straight line through the origin? A f 2 against  B f against 2 C f against  1 D f 2 against  1

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2020

23 When sound travels through air, the air particles vibrate. A graph of displacement against time for a single air particle is shown. displacement 0 time 0 T 2T Which graph shows how the kinetic energy of the air particle varies with time? A B kinetic kinetic energy energy 0 time 0 time 0 T 2T 0 T 2T C D kinetic kinetic energy energy 0 time 0 time 0 T 2T 0 T 2T

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2020

22 Two waves X and Y have the same frequency. The amplitude of X is 1.5A0 and the amplitude of Y is 2.5A0. The waves meet at a point and superpose to form a resultant wave. For the resultant wave, what is the ratio maximum possible intensity ? minimum possible intensity A 1.7 B 2.8 C 4.0 D 16

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2020

23 The displacement–time graph for an air particle in the path of a sound wave is shown. displacement 0 0 time Which property of the sound wave must be increasing? A amplitude B frequency C period D speed

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2020

24 A sound wave is displayed on the screen of a cathode-ray oscilloscope (CRO) as shown. 1 cm 1 cm The time-base of the CRO is set at 2.5 ms cm–1. What is the frequency of the sound wave? A 50 Hz B 100 Hz C 200 Hz D 400 Hz

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2020

21 A progressive radio wave in a vacuum has a frequency of 75 MHz. What is the phase difference between two points on the wave that are 50 cm apart from each other? A 23° B 45° C 90° D 180°

1 marks

Answer: B

This question in 9702/12 Feb/March 2021

22 A transverse progressive wave of wavelength / is set up on a stretched string. The graph shows the variation of displacement y with distance x at a particular instant of time. The wave has displacement +y, at distance x = -. A 34 and 54 8 8 B 3A and 94 8 8 c 4 and 9A 8 8 p % and 17a

1 marks

Answer: B

This question in 9702/13 May/June 2021

23 The graph shows the variation with time of the displacement of an air particle as a progressive sound wave passes through the air. The speed of sound in air is 330 m s–1. displacement 0 0 5 10 15 20 25 30 35 40 45 50 55 time / ms What is the wavelength of the wave? A 6.6 m B 8.3 m C 20 m D 25 m

1 marks

Answer: A

This question in 9702/13 May/June 2021

24 A microphone is connected to a cathode-ray oscilloscope (CRO). A sound wave of constant frequency is detected by the microphone. The screen of the CRO is shown. 1.0 cm 1.0 cm The time-base is set at 1.0 ms cm–1. What is the frequency of the sound wave? A 250 Hz B 500 Hz C 670 Hz D 4000 Hz

1 marks

Answer: A

This question in 9702/13 May/June 2021

4 A cathode-ray oscilloscope (CRO) is used to display a sound wave of frequency 2000 Hz. The display of the CRO is shown. 1 cm 1 cm What is the time-base setting on the CRO? A 125 s cm–1 B 250 s cm–1 C 500 s cm–1 D 1000 s cm–1

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2021

21 Two balls float on the surface of the sea. The balls are separated by a distance of 1.30 m. A wave travels on the surface of the sea so that the balls move vertically up and down. direction of ball travel of wave ball 0.90 m NOT TO SCALE 1.30 m The distance between a crest and an adjacent trough of the wave is 0.90 m. What is the phase difference between the two balls? A 55 B 110 C 160 D 260

1 marks

Answer: D

This question in 9702/11 Oct/Nov 2021

4 The output of a signal generator is connected to a cathode-ray oscilloscope (CRO). A trace is shown on the screen. 1.0 cm 1.0 cm The time-base of the CRO is set at 2.00 ms cm–1. What is the frequency of the signal? A 50 Hz B 125 Hz C 250 Hz D 500 Hz

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2021

20 Which statement about progressive waves is correct? A They are always transverse waves. B They can exist in solids but not liquids. C They decrease in frequency as their speed increases. D They transfer energy away from their source.

1 marks

Answer: D

This question in 9702/12 Feb/March 2022

21 A cathode-ray oscilloscope (CRO) is used to determine the frequency of a sound wave. The diagram shows the waveform on the screen. The time-base setting is 5.0 ms div–1. What is the best estimate of the frequency of the sound wave? A 50 Hz B 71 Hz C 100 Hz D 143 Hz

1 marks

Answer: B

This question in 9702/12 Feb/March 2022

21 The graph shows the variation with time of the displacement of a particle as a progressive wave passes. 5 displacement / mm 0 0 5 10 15 20 time / ns –5 What are the frequency and the amplitude of the wave? frequency / MHz amplitude / mm A 100 5 B 200 5 C 100 10 D 200 10

1 marks

Answer: A

This question in 9702/11 May/June 2022

22 The graph shows the variation of the displacement of an air particle with time as a sound wave passes through air. displacement 00 time The intensity of the sound is halved while the frequency remains constant. The four graphs below are drawn to the same scale as the graph above. Which graph shows the displacement of the air particle? A B displacement displacement 00 00 time time C D displacement displacement 00 00 time time

1 marks

Answer: D

This question in 9702/11 May/June 2022

21 Which statement is correct for all types of progressive wave? A The distance from a peak to the next trough is equal to a wavelength. B They can be demonstrated in ripple tanks. C They consist of vibrating atoms. D They transfer energy from one position to another.

1 marks

Answer: D

This question in 9702/12 May/June 2022

22 A transverse water wave is moving along the surface of some water. This causes a ball to move vertically without moving horizontally as it floats upon the surface. At one instant, the ball is at the position shown. ball 0.70 m NOT TO direction of SCALE wave travel 2.4 m The wave has a frequency of 0.20 Hz and an amplitude of 0.70 m. The distance between a trough and an adjacent peak is 2.4 m. What is the distance travelled by the ball in a time of 20 s? A 5.6 m B 9.6 m C 11.2 m D 19.2 m

1 marks

Answer: C

This question in 9702/12 May/June 2022

21 A signal generator, amplifier and loudspeaker are used to produce different sound waves in the air of a room. The relationships between the properties of these waves are investigated. Which relationship is not correct? A Amplitude is proportional to wavelength. B Frequency is inversely proportional to wavelength. C Intensity is proportional to amplitude squared at a given frequency. D Period is equal to the reciprocal of frequency.

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2022

23 A transverse wave travels along a rope. The diagram shows the rope at time t = 0. The wave is travelling from left to right. The period of the wave is T. direction of wave travel X One particle of the rope is labelled X. Which graph shows the variation with time of the displacement of particle X between t = 0 and t = 2T ? A B displacement displacement 0 t 0 t 0 2T 0 2T C D displacement displacement 0 t 0 t 0 2T 0 2T

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2022

22 A wave pulse moves along a stretched rope in the direction shown. P Which diagram shows the variation with time t of the displacement s of the particle P in the rope? A B s s 0 0 0 t 0 t C D s s 0 0 0 t 0 t

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2022

21 The diagram shows a transverse wave on a rope. The wave is travelling from left to right. At the instant shown, the points P and Q on the rope have zero displacement and maximum displacement respectively. Q P direction of wave Which row describes the direction of motion, if any, of the points P and Q at this instant? point P point Q A downwards stationary B stationary downwards C stationary upwards D upwards stationary

1 marks

Answer: A

This question in 9702/13 Oct/Nov 2022

20 In a progressive water wave, two particles, P and Q, on the surface of the water, are a fixed horizontal distance apart. P and Q oscillate vertically. At time t = 0, the wave is as shown. P surface of water ON FN Which graph best represents the variation with time t of the phase difference ¢ between the oscillation of the water particle P and the oscillation of the water particle Q? B p 0 A 0 \ / t Cc 9 9 0 0 0 t 0 t p 0

1 marks

Answer: D

This question in 9702/12 Feb/March 2023

20 In an experiment, a student uses a microphone and a cathode-ray oscilloscope (CRO) to analyse a sound wave. The diagram shows the trace on the screen of the CRO. The student is expecting a sinusoidal waveform to be shown on the screen. Which changes should the student make to the time-base and the y-gain of the CRO so that the screen shows a continuous trace for one complete cycle of the waveform? time-base y-gain A decrease decrease B decrease increase C increase decrease D increase increase

1 marks

Answer: D

This question in 9702/11 May/June 2023

21 The graph shows the variation with time of the displacement of a particle in a progressive wave. displacement x y 0 0 time Two measurements, x and y, are labelled on the graph. What do x and y represent? x y A amplitude period B frequency period C amplitude wavelength D frequency wavelength

1 marks

Answer: A

This question in 9702/11 May/June 2023

20 A microphone detects a sound wave. The microphone is connected to a cathode-ray oscilloscope (CRO). The shape of the trace on the screen of the CRO is shown. Which property of the sound wave can be determined by using only the measurement of a horizontal distance on the screen and the value of a control setting of the CRO? A amplitude B frequency C speed D wavelength

1 marks

Answer: B

This question in 9702/12 May/June 2023

20 A progressive wave of frequency 1.5 kHz travels in a medium at a speed of 340 m s–1. What is the minimum distance between two points on the wave that have a phase difference of 70? A 4.4 cm B 8.8 cm C 18 cm D 23 cm

1 marks

Answer: A

This question in 9702/13 May/June 2023

21 Graph 1 shows the variation with time of displacement at a fixed distance along a progressive wave. Graph 2 represents the same wave and shows the variation with distance of displacement at an instant in time. graph 1 2.0 displacement / cm 1.0 0 time / s 0 0.10 0.20 0.30 0.40 –1.0 –2.0 graph 2 2.0 displacement / cm 1.0 0 distance / cm 0 30 60 90 120 –1.0 –2.0 What is the speed of the wave? A 5.0 cm s–1 B 48 cm s–1 C 150 cm s–1 D 300 cm s–1

1 marks

Answer: D

This question in 9702/13 May/June 2023

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

This question in 9702/13 May/June 2023

20 X and Y are two points on the surface of water in a ripple tank. A source of constant frequency generates a wave which travels past X and Y, causing them to oscillate vertically. direction of wave travel Y water surface X What is the phase difference between X and Y? A 45° B 135° C 180° D 270°

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2023

21 A transverse wave on a rope has wavelength λ and period T. The graph shows the variation of the displacement of the particles of the rope with distance in the direction of travel of the wave at time t = 0. direction displacement of travel X 0 0 λ distance A particle X is labelled. Which graph shows the variation of the displacement of particle X with time t ? A B displacement displacement 0 0 0 T t 0 T t C D displacement displacement 0 0 0 T t 0 T t

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2023

21 A wave travels on the surface of water. P, Q, R and S are four particles of water on the surface. The diagram shows the positions of the particles at one instant. The direction of travel of the wave is from left to right. direction of wave travel P R Q S Which two particles are about to move upwards? A P and R B P and S C R and S D Q and S

1 marks

Answer: D

This question in 9702/13 Oct/Nov 2023

24 The range of frequencies of sound waves emitted by blue whales is 10 Hz to 40 Hz. The speed of sound in seawater is approximately 1.5 km s–1. What is the approximate range of wavelengths of the sound waves emitted by blue whales? A 6.7 mm to 27 mm B 3.8 cm to 15 cm C 6.7 m to 27 m D 38 m to 150 m

1 marks

Answer: D

This question in 9702/12 Feb/March 2024

25 A sound wave is detected by a microphone and displayed on the screen of a cathode-ray oscilloscope (CRO). 1 cm 1 cm The frequency of the wave is 2.5 kHz. What is the setting on the time-base of the CRO? A 0.1 ms cm–1 B 0.4 ms cm–1 C 0.1 s cm–1 D 0.4 s cm–1

1 marks

Answer: A

This question in 9702/12 Feb/March 2024

28 A beam of light with power P has an area of cross-section A. The amplitude of the light waves in the beam is X. The beam of light is then changed to one with the same frequency but with an increased A amplitude of 4X and an area of cross-section reduced to . 3 What is the power of the new beam? A 1.3P B 5.3P C 12P D 48P

1 marks

Answer: B

This question in 9702/12 Feb/March 2024

28 The diagram shows the shape at one instant in time of part of a stretched string as a wave travels along it from left to right. 1 2 3 What are the directions of the velocities of the points 1, 2 and 3 on the string at this instant in time? point 1 point 2 point 3 A    B    C    D   

1 marks

Answer: D

This question in 9702/11 May/June 2024

22 The diagram shows a representation of a wave on the screen of an oscilloscope. 1 cm The y-gain is set to 3.5 mV cm–1. What is the amplitude of the wave? A 0.57 mV B 3.5 mV C 7.0 mV D 14 mV

1 marks

Answer: C

This question in 9702/13 May/June 2024

23 A transverse progressive wave on a string has a wavelength of 12 cm and an amplitude of 1.5 cm. The speed of the wave on the string is 48 cm s–1. What is the distance travelled by a point on the string in a time of 2.0 s? A 12 cm B 24 cm C 48 cm D 96 cm

1 marks

Answer: C

This question in 9702/13 May/June 2024

24 The graph shows the variation of the displacement with distance for a progressive wave at one instant in time. displacement 0 0 1.0 2.0 3.0 4.0 5.0 6.0 distance / cm The period of the wave is 91 ms. What can be determined about the wave? A It has a velocity of 0.44 m s–1 and a frequency of 11 Hz. B It has a velocity of 0.55 m s–1 and a wavelength of 5.0 cm. C It is longitudinal and has a frequency of 11 Hz. D It is transverse and has a wavelength of 4.0 cm.

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2024

26 A wave has a frequency of 5 GHz. What is the period of the wave? A 200 ps B 2 ns C 20 ns D 20 000 s

1 marks

Answer: A

This question in 9702/11 Oct/Nov 2024

24 A progressive longitudinal sound wave moves through air. The diagram shows the positions of the air particles along part of the wave at one instant. P Q x Point Q is a distance x from point P. Which graph shows the variation of the displacement of the air particles with distance from P along the wave? A B displacement displacement 0 0 0 x distance 0 x distance C D displacement displacement 0 0 0 x distance 0 x distance

1 marks

Answer: C

This question in 9702/12 Oct/Nov 2024

26 A transverse water wave has a frequency of 15 Hz, a wavelength of 0.12 m and an amplitude of 4.0 mm. P is a water particle that is initially at the peak of the wave, as shown. P What is the total vertical distance travelled by P in a time of 0.5 s? A 30 mm B 60 mm C 120 mm D 900 mm

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2024

27 A wave is formed on a string. A student plots a graph of the variation of displacement d with time t for a point on the string. The student marks two points, X and Y, on the graph. d 0 0 X Y t Which property of the wave is represented by the distance along the horizontal axis between X and Y? A amplitude B frequency C period D wavelength

1 marks

Answer: C

This question in 9702/13 Oct/Nov 2024

25 A progressive wave of frequency 300 Hz is travelling with a speed of 600 m s–1. What is the phase difference between two points on the wave that are a distance of 0.50 m apart? A 45° B 90° C 180° D 360°

1 marks

Answer: B

This question in 9702/12 Feb/March 2025

26 The diagram shows a progressive transverse wave on a stretched string at one instant in time. One point on the string is labelled X. Which point on the string is 270° out of phase with X? A B C D X

1 marks

Answer: A

This question in 9702/11 May/June 2025

24 The graph shows the variation with distance along the wave of the displacement of water particles at a particular instant in time for a transverse water wave. 4 P displacement / m 2 Q R 0 distance / m 0 4 8 12 16 20 24 –2 –4 P, Q and R show the positions of three water particles in the wave. Which particle has the greatest speed at the instant shown? A all have the same speed B particle P C particle Q D particle R

1 marks

Answer: D

This question in 9702/13 May/June 2025

26 A wave is displayed on an oscilloscope. The oscilloscope settings are: time–base: 300 s div–1 y-gain: 40 V div–1. What is the frequency of the wave? A 130 Hz B 950 Hz C 1100 Hz D 7100 Hz

1 marks

Answer: B

This question in 9702/13 May/June 2025

19 Two progressive waves meet at a fixed point P. The variation with time of the displacement of each wave at point P is shown in the graph. displacement 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 time / s What is the phase difference between the two waves at point P? A 45 B 90 C 135 D 180

1 marks

Answer: C

This question in 9702/14 May/June 2025

20 A microphone is connected to a cathode-ray oscilloscope (CRO). The diagram shows the waveform on the display of the CRO when the microphone detects a sound. The y-gain is set to 1 V div–1. The time-base is set to 2.0 ms div–1. Which row gives the amplitude and frequency of the waveform? amplitude / V frequency / Hz A 3 125 B 3 250 C 6 125 D 6 250

1 marks

Answer: B

This question in 9702/14 May/June 2025

25 A source emits a progressive sound wave in the horizontal direction. The wave travels away from the source in a direction towards the right. The graph shows the variation of the displacement of the particles from their equilibrium positions with distance from the source at a particular instant in time. Displacements to the right of the equilibrium positions are shown as positive. displacement 0 0 distance Y Position Y represents the displacement of a particle in the sound wave at a particular distance from the source at this instant. Which statement about the motion of this particle is correct? A The particle is moving away from the source. B The particle is moving towards the source. C The particle is moving upwards. D The particle is moving downwards.

1 marks

Answer: B

This question in 9702/11 Oct/Nov 2025

24 Which row describes a progressive longitudinal wave? transfers energy in requires a medium always travels at a direction parallel to travel through the same speed to the oscillations A false false true B false true true C true false false D true true false

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2025

25 What is the phase difference between points P and Q on the progressive wave shown in the diagram? P Q A 180° B 450° C 540° D 720°

1 marks

Answer: B

This question in 9702/12 Oct/Nov 2025

26 The graph shows the variation of displacement with distance for two progressive waves X and Y of the same type in the same medium. 1.0 wave Y displacement / cm 0.5 wave X distance / cm 0 0 2 4 6 8 10 12 14 –0.5 –1.0 The intensity of wave X is I. What is the intensity of wave Y? A 0.28I B 0.53I C 1.9I D 3.5I

1 marks

Answer: D

This question in 9702/12 Oct/Nov 2025

25 A source emits a progressive sound wave in the horizontal direction. The wave travels away from the source in a direction towards the right. The graph shows the variation of the displacement of the particles from their equilibrium positions with distance from the source at a particular instant in time. Displacements to the right of the equilibrium positions are shown as positive. displacement 0 0 distance Y Position Y represents the displacement of a particle in the sound wave at a particular distance from the source at this instant. Which statement about the motion of this particle is correct? A The particle is moving away from the source. B The particle is moving towards the source. C The particle is moving upwards. D The particle is moving downwards.

1 marks

Answer: B

This question in 9702/13 Oct/Nov 2025

24 A transverse progressive wave travels along a string. The graph shows the variation with distance of the displacement of the string at time t = 0. direction of travel of the wave displacement P 0 0 distance Which graph represents the variation with time of the velocity of point P on the string? A B velocity velocity 0 0 0 time 0 time C D velocity velocity 0 0 0 time 0 time

1 marks

Answer: D

This question in 9702/14 Oct/Nov 2025