Progressive waves
7.1What the syllabus asks of you
- describe what is meant by wave motion as illustrated by vibration in ropes, springs and ripple tanks
- understand and use the terms displacement, amplitude, phase difference, period, frequency, wavelength and speed
- understand the use of the time-base and y-gain of a cathode-ray oscilloscope (CRO) to determine frequency and amplitude
- derive, using the definitions of speed, frequency and wavelength, the wave equation v = f λ
- recall and use v = f λ
- understand that energy is transferred by a progressive wave
- recall and use intensity = power/area and intensity ∝ (amplitude)² for a progressive wave
Read the notes first
Chapter 7: Progressive waves
Drill this topic
Every question on Progressive waves, untimed, marked as you go.
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Choose the years and how many questions, then print it with the answers on separate pages.
147 questions
1May / June 2026 · Paper 11 · Q26Show mark scheme →
AP
B3P
C9P
D27P
Mark scheme
2May / June 2026 · Paper 12 · Q23Show mark scheme →
A0.050 Hz
B0.080 Hz
C5.0 Hz
D8.0 Hz
Mark scheme
3May / June 2026 · Paper 12 · Q25Show mark scheme →
Aa ∝ 1/r
Ba ∝ 1/r²
Ca ∝ r
Da ∝ r²
Mark scheme
4May / June 2026 · Paper 14 · Q27Show mark scheme →
Aone wavelength
Btwice the wavelength
Ctwice the amplitude
Dfour times the amplitude
Mark scheme
5Oct / Nov 2025 · Paper 12 · Q25Show mark scheme →
A180°
B450°
C540°
D720°
Mark scheme
6Oct / Nov 2025 · Paper 12 · Q26Show mark scheme →
A0.28I
B0.53I
C1.9I
D3.5I
Mark scheme
7Oct / Nov 2025 · Paper 14 · Q24Show mark scheme →
Avelocity-time graph: constant positive velocity (horizontal line above axis)
Bvelocity-time graph: triangular/sawtooth variation, starting at 0, rising to a peak, falling through zero to a negative trough, then rising back
Cvelocity-time graph: sinusoidal starting at 0, rising to a positive maximum, falling through zero to a negative minimum, then rising back
Dvelocity-time graph: sinusoidal starting at a negative minimum, rising through zero to a positive maximum, then falling back
Mark scheme
8May / June 2025 · Paper 11 · Q26Show mark scheme →
A
B
C
D
Mark scheme
9May / June 2025 · Paper 13 · Q24Show mark scheme →
Aall have the same speed
Bparticle P
Cparticle Q
Dparticle R
Mark scheme
10May / June 2025 · Paper 13 · Q26Show mark scheme →
A130 Hz
B950 Hz
C1100 Hz
D7100 Hz
Mark scheme
11May / June 2025 · Paper 14 · Q19Show mark scheme →
A45°
B90°
C135°
D180°
Mark scheme
12May / June 2025 · Paper 14 · Q20Show mark scheme →
Aamplitude / V: 3, frequency / Hz: 125
Bamplitude / V: 3, frequency / Hz: 250
Camplitude / V: 6, frequency / Hz: 125
Damplitude / V: 6, frequency / Hz: 250
Mark scheme
13Feb / March 2025 · Paper 12 · Q25Show mark scheme →
A45°
B90°
C180°
D360°
Mark scheme
14Oct / Nov 2024 · Paper 11 · Q24Show mark scheme →
AIt has a velocity of 0.44 m s–1 and a frequency of 11 Hz.
BIt has a velocity of 0.55 m s–1 and a wavelength of 5.0 cm.
CIt is longitudinal and has a frequency of 11 Hz.
DIt is transverse and has a wavelength of 4.0 cm.
Mark scheme
15Oct / Nov 2024 · Paper 11 · Q26Show mark scheme →
A200 ps
B2 ns
C20 ns
D20 000 µs
Mark scheme
16Oct / Nov 2024 · Paper 12 · Q27Show mark scheme →
Athe frequency per division on the screen
Bthe number of divisions on the screen per unit frequency
Cthe number of divisions on the screen per unit time
Dthe time per division on the screen
Mark scheme
17Oct / Nov 2024 · Paper 13 · Q26Show mark scheme →
A30 mm
B60 mm
C120 mm
D900 mm
Mark scheme
18Oct / Nov 2024 · Paper 13 · Q27Show mark scheme →
Aamplitude
Bfrequency
Cperiod
Dwavelength
Mark scheme
19May / June 2024 · Paper 11 · Q19Show mark scheme →
A4E
B2E
CE
D\(\frac{1}{2}\)E
Mark scheme
20May / June 2024 · Paper 11 · Q28Show mark scheme →
Apoint 1 →, point 2 →, point 3 →
Bpoint 1 →, point 2 ←, point 3 →
Cpoint 1 ↑, point 2 ↓, point 3 ↑
Dpoint 1 ↓, point 2 ↑, point 3 ↓
Mark scheme
21May / June 2024 · Paper 13 · Q22Show mark scheme →
A0.57 mV
B3.5 mV
C7.0 mV
D14 mV
Mark scheme
22May / June 2024 · Paper 13 · Q23Show mark scheme →
A12 cm
B24 cm
C48 cm
D96 cm
Mark scheme
23Feb / March 2024 · Paper 12 · Q24Show mark scheme →
A6.7 mm to 27 mm
B3.8 cm to 15 cm
C6.7 m to 27 m
D38 m to 150 m
Mark scheme
24Feb / March 2024 · Paper 12 · Q25Show mark scheme →
A0.1 ms cm⁻¹
B0.4 ms cm⁻¹
C0.1 s cm⁻¹
D0.4 s cm⁻¹
Mark scheme
25Feb / March 2024 · Paper 12 · Q28Show mark scheme →
A1.3P
B5.3P
C12P
D48P
Mark scheme
26Oct / Nov 2023 · Paper 11 · Q20Show mark scheme →
A0°
B45°
C90°
D180°
Mark scheme
27Oct / Nov 2023 · Paper 12 · Q20Show mark scheme →
A45°
B135°
C180°
D270°
Mark scheme
28Oct / Nov 2023 · Paper 12 · Q21Show mark scheme →
Adisplacement-time graph starting at 0, rising to a maximum, crossing zero at T/2, reaching a minimum, and returning to zero at T
Bdisplacement-time graph starting at a maximum, crossing zero at T/4, reaching a minimum, crossing zero at 3T/4, and returning to a maximum at T
Cdisplacement-time graph starting at 0, falling to a minimum, crossing zero at T/2, reaching a maximum, and returning to zero at T
Ddisplacement-time graph starting at a minimum, crossing zero at T/4, reaching a maximum, crossing zero at 3T/4, and returning to a minimum at T
Mark scheme
29Oct / Nov 2023 · Paper 13 · Q20Show mark scheme →
Agraph A
Bgraph B
Cgraph C
Dgraph D
Mark scheme
30Oct / Nov 2023 · Paper 13 · Q23Show mark scheme →
AAmplitude is inversely proportional to velocity.
BFrequency is inversely proportional to wavelength.
CIntensity is proportional to amplitude.
DVelocity is proportional to wavelength.
Mark scheme
31May / June 2023 · Paper 11 · Q20Show mark scheme →
Atime-base: decrease; y-gain: decrease
Btime-base: decrease; y-gain: increase
Ctime-base: increase; y-gain: decrease
Dtime-base: increase; y-gain: increase
Mark scheme
32May / June 2023 · Paper 11 · Q21Show mark scheme →
Ax: amplitude; y: period
Bx: frequency; y: period
Cx: amplitude; y: wavelength
Dx: frequency; y: wavelength
Mark scheme
33May / June 2023 · Paper 12 · Q20Show mark scheme →
Aamplitude
Bfrequency
Cspeed
Dwavelength
Mark scheme
34May / June 2023 · Paper 13 · Q20Show mark scheme →
A4.4 cm
B8.8 cm
C18 cm
D23 cm
Mark scheme
35May / June 2023 · Paper 13 · Q21Show mark scheme →
A5.0 cm s–1
B48 cm s–1
C150 cm s–1
D300 cm s–1
Mark scheme
36Feb / March 2023 · Paper 12 · Q20Show mark scheme →
A[graph A: φ against t, cosine-like curve starting at maximum φ at t=0]
B[graph B: φ against t, sine-like curve starting at 0 and going negative]
C[graph C: φ against t, straight line with positive gradient starting negative]
D[graph D: φ against t, horizontal line at constant positive φ]
Mark scheme
37Oct / Nov 2022 · Paper 11 · Q21Show mark scheme →
AAmplitude is proportional to wavelength.
BFrequency is inversely proportional to wavelength.
CIntensity is proportional to amplitude squared at a given frequency.
DPeriod is equal to the reciprocal of frequency.
Mark scheme
38Oct / Nov 2022 · Paper 11 · Q22Show mark scheme →
A430 Hz
B680 Hz
C1100 Hz
D1400 Hz
Mark scheme
39Oct / Nov 2022 · Paper 11 · Q23Show mark scheme →
Agraph A
Bgraph B
Cgraph C
Dgraph D
Mark scheme
40Oct / Nov 2022 · Paper 12 · Q22Show mark scheme →
Agraph: s against t, negative rectangular pulse then positive triangular peak
Bgraph: s against t, positive triangular peak then negative rectangular pulse
Cgraph: s against t, negative triangular dip then positive rectangular pulse
Dgraph: s against t, positive rectangular pulse then negative triangular dip
Mark scheme
41Oct / Nov 2022 · Paper 13 · Q21Show mark scheme →
Apoint P: downwards; point Q: stationary
Bpoint P: stationary; point Q: downwards
Cpoint P: stationary; point Q: upwards
Dpoint P: upwards; point Q: stationary
Mark scheme
42Oct / Nov 2022 · Paper 13 · Q22Show mark scheme →
Afrequency / Hz: 1.0; wavelength / m: 3.0 × 10^8
Bfrequency / Hz: 1.0 × 10^6; wavelength / m: 300
Cfrequency / Hz: 1.0 × 10^9; wavelength / m: 0.30
Dfrequency / Hz: 1.0 × 10^12; wavelength / m: 3.0 × 10^–4
Mark scheme
43May / June 2022 · Paper 11 · Q21Show mark scheme →
Afrequency / MHz: 100, amplitude / mm: 5
Bfrequency / MHz: 200, amplitude / mm: 5
Cfrequency / MHz: 100, amplitude / mm: 10
Dfrequency / MHz: 200, amplitude / mm: 10
Mark scheme
44May / June 2022 · Paper 11 · Q22Show mark scheme →
Adisplacement-time graph with four cycles, same amplitude as original
Bdisplacement-time graph with one cycle, larger amplitude
Cdisplacement-time graph with two cycles, smaller amplitude
Ddisplacement-time graph with two cycles, same amplitude as original
Mark scheme
45May / June 2022 · Paper 12 · Q21Show mark scheme →
AThe distance from a peak to the next trough is equal to a wavelength.
BThey can be demonstrated in ripple tanks.
CThey consist of vibrating atoms.
DThey transfer energy from one position to another.
Mark scheme
46May / June 2022 · Paper 12 · Q22Show mark scheme →
A5.6 m
B9.6 m
C11.2 m
D19.2 m
Mark scheme
47May / June 2022 · Paper 13 · Q22Show mark scheme →
A
B
C
D
Mark scheme
48May / June 2022 · Paper 13 · Q23Show mark scheme →
Aamplitude
Bperiod
Cspeed
Dwavelength
Mark scheme
49Feb / March 2022 · Paper 12 · Q20Show mark scheme →
AThey are always transverse waves.
BThey can exist in solids but not liquids.
CThey decrease in frequency as their speed increases.
DThey transfer energy away from their source.
Mark scheme
50Feb / March 2022 · Paper 12 · Q21Show mark scheme →
A50 Hz
B71 Hz
C100 Hz
D143 Hz
Mark scheme
51Oct / Nov 2021 · Paper 11 · Q4Show mark scheme →
A125 µs cm⁻¹
B250 µs cm⁻¹
C500 µs cm⁻¹
D1000 µs cm⁻¹
Mark scheme
52Oct / Nov 2021 · Paper 11 · Q21Show mark scheme →
A55°
B110°
C160°
D260°
Mark scheme
53Oct / Nov 2021 · Paper 12 · Q4Show mark scheme →
A1 and 2
B1 and 3
C1 and 4
D2 and 3
Mark scheme
54Oct / Nov 2021 · Paper 13 · Q4Show mark scheme →
A50 Hz
B125 Hz
C250 Hz
D500 Hz
Mark scheme
55Oct / Nov 2021 · Paper 13 · Q22Show mark scheme →
AA
BB
CC
DD
Mark scheme
56May / June 2021 · Paper 11 · Q4Show mark scheme →
A10 ms cm⁻¹
B20 ms cm⁻¹
C25 ms cm⁻¹
D40 ms cm⁻¹
Mark scheme
57May / June 2021 · Paper 11 · Q21Show mark scheme →
A0°
B60°
C90°
D120°
Mark scheme
58May / June 2021 · Paper 12 · Q23Show mark scheme →
A15 Hz
B15 000 Hz
C20 000 Hz
D30 000 Hz
Mark scheme
59May / June 2021 · Paper 13 · Q22Show mark scheme →
A\(\frac{3\lambda}{8}\) and \(\frac{5\lambda}{8}\)
B\(\frac{3\lambda}{8}\) and \(\frac{9\lambda}{8}\)
C\(\frac{5\lambda}{8}\) and \(\frac{9\lambda}{8}\)
D\(\frac{9\lambda}{8}\) and \(\frac{17\lambda}{8}\)
Mark scheme
60May / June 2021 · Paper 13 · Q23Show mark scheme →
A6.6 m
B8.3 m
C20 m
D25 m
Mark scheme
61May / June 2021 · Paper 13 · Q24Show mark scheme →
A250 Hz
B500 Hz
C670 Hz
D4000 Hz
Mark scheme
62Feb / March 2021 · Paper 12 · Q21Show mark scheme →
A23°
B45°
C90°
D180°
Mark scheme
63Oct / Nov 2020 · Paper 11 · Q4Show mark scheme →
A7.1 × 10⁻⁶ s
B1.4 × 10⁻⁵ s
C7.1 × 10⁻³ s
D1.4 × 10⁻² s
Mark scheme
64Oct / Nov 2020 · Paper 11 · Q21Show mark scheme →
Agraph A
Bgraph B
Cgraph C
Dgraph D
Mark scheme
65Oct / Nov 2020 · Paper 11 · Q22Show mark scheme →
Afrequency ½ f, amplitude ½ A
Bfrequency ½ f, amplitude 2A
Cfrequency 2f, amplitude ½ A
Dfrequency 2f, amplitude 2A
Mark scheme
66Oct / Nov 2020 · Paper 12 · Q22Show mark scheme →
Af^2 against \lambda
Bf against \lambda^2
Cf against \frac{1}{\lambda}
Df^2 against \frac{1}{\lambda}
Mark scheme
67Oct / Nov 2020 · Paper 12 · Q23Show mark scheme →
Akinetic energy against time graph: starts at maximum at t=0, falls to zero at T/2, rises to maximum at T, falls to zero at 3T/2, rises to maximum at 2T
Bkinetic energy against time graph: starts at zero at t=0, rises to maximum at T/2, falls to zero at T, rises to maximum at 3T/2, falls to zero at 2T
Ckinetic energy against time graph: starts at maximum at t=0, falls to zero at T/4, rises to maximum at T/2, falls to zero at 3T/4, rises to maximum at T, and repeats
Dkinetic energy against time graph: starts at zero at t=0, rises to maximum at T/4, falls to zero at T/2, rises to maximum at 3T/4, falls to zero at T, and repeats
Mark scheme
68Oct / Nov 2020 · Paper 13 · Q23Show mark scheme →
Aamplitude
Bfrequency
Cperiod
Dspeed
Mark scheme
69Oct / Nov 2020 · Paper 13 · Q24Show mark scheme →
A50 Hz
B100 Hz
C200 Hz
D400 Hz
Mark scheme
70May / June 2020 · Paper 11 · Q4Show mark scheme →
A0.83 Hz
B830 Hz
C1300 Hz
D1700 Hz
Mark scheme
71May / June 2020 · Paper 11 · Q22Show mark scheme →
AThe maximum displacement of the particles changes between one particle and the next particle.
BThe phase difference between adjacent particles is zero.
CThe wavelength is the distance between two particles that have a phase difference of 180°.
DTwo particles that have a phase difference of 360° have the same maximum displacement.
Mark scheme
72May / June 2020 · Paper 11 · Q23Show mark scheme →
Aamplitude 3.0, wavelength 6000
Bamplitude 6.0, wavelength 6000
Camplitude 3.0, wavelength 7500
Damplitude 6.0, wavelength 7500
Mark scheme
73May / June 2020 · Paper 12 · Q21Show mark scheme →
AThey are both stationary.
BThey are displaced in opposite directions from their equilibrium position.
CThey are moving in opposite directions.
DThey both have displacements of the same magnitude from their equilibrium positions.
Mark scheme
74May / June 2020 · Paper 12 · Q22Show mark scheme →
A45°
B90°
C135°
D180°
Mark scheme
75May / June 2020 · Paper 12 · Q23Show mark scheme →
Afrequency 330 Hz, amplitude 0.6 mV
Bfrequency 330 Hz, amplitude 1.2 mV
Cfrequency 670 Hz, amplitude 0.6 mV
Dfrequency 670 Hz, amplitude 1.2 mV
Mark scheme
76May / June 2020 · Paper 13 · Q22Show mark scheme →
A$2A$
B$\frac{A}{2}$
C$\frac{A}{4}$
D$\frac{A}{16}$
Mark scheme
77May / June 2020 · Paper 13 · Q23Show mark scheme →
A0.13 Hz
B0.20 Hz
C5.0 Hz
D7.5 Hz
Mark scheme
78Feb / March 2020 · Paper 12 · Q4Show mark scheme →
A2.1 µs cm^-1
B3.2 µs cm^-1
C4.2 µs cm^-1
D6.3 µs cm^-1
Mark scheme
79Feb / March 2020 · Paper 12 · Q21Show mark scheme →
AThere is no phase difference.
BThey are out of phase by a quarter of a cycle.
CThey are out of phase by half a cycle.
DThey are out of phase by 0.80 of a cycle.
Mark scheme
80Feb / March 2020 · Paper 12 · Q23Show mark scheme →
A500 Hz
B670 Hz
C1000 Hz
D1300 Hz
Mark scheme
81Oct / Nov 2019 · Paper 11 · Q21Show mark scheme →
A[graph: displacement against time, starting at 0 and rising to a positive maximum, crossing zero at T/2]
B[graph: displacement against time, starting at a positive maximum, crossing zero, reaching a negative minimum, returning to zero at T]
C[graph: displacement against time, starting at 0 and falling to a negative minimum, crossing zero at T/2]
D[graph: displacement against time, starting at a negative minimum, crossing zero, reaching a positive maximum, returning to zero at T]
Mark scheme
82Oct / Nov 2019 · Paper 12 · Q20Show mark scheme →
A[graph A: displacement against distance / m]
B[graph B: displacement against distance / m]
C[graph C: displacement against distance / m]
D[graph D: displacement against distance / m]
Mark scheme
83Oct / Nov 2019 · Paper 12 · Q21Show mark scheme →
A22.5 cm s–1
B30.0 cm s–1
C90.0 cm s–1
D120 cm s–1
Mark scheme
84Oct / Nov 2019 · Paper 12 · Q22Show mark scheme →
A63 Hz
B170 Hz
C250 Hz
D500 Hz
Mark scheme
85Oct / Nov 2019 · Paper 12 · Q26Show mark scheme →
ABoth can travel through free space.
BBoth have a frequency inversely proportional to their wavelength.
CBoth have an intensity proportional to their amplitude.
DBoth have oscillations perpendicular to the direction of energy transfer.
Mark scheme
86Oct / Nov 2019 · Paper 13 · Q23Show mark scheme →
A10 µs cm–1
B100 µs cm–1
C10 ms cm–1
D100 ms cm–1
Mark scheme
87Oct / Nov 2019 · Paper 13 · Q25Show mark scheme →
Aa \propto \frac{1}{r}
Ba \propto \frac{1}{r^2}
Ca \propto r
Da \propto r^2
Mark scheme
88Oct / Nov 2019 · Paper 13 · Q27Show mark scheme →
Ap: displacement; q: period
Bp: displacement; q: wavelength
Cp: amplitude; q: period
Dp: amplitude; q: wavelength
Mark scheme
89May / June 2019 · Paper 11 · Q4Show mark scheme →
A0.1 ms div⁻¹
B1 ms div⁻¹
C10 ms div⁻¹
D100 ms div⁻¹
Mark scheme
90May / June 2019 · Paper 11 · Q22Show mark scheme →
AGraph A: y/mm against t/s, amplitude +1.0 to -1.0, period 0.20 s
BGraph B: y/mm against t/s, amplitude +1.0 to -1.0, period 4.0 s
CGraph C: y/mm against t/s, amplitude 0 to +2.0, period 4.0 s
DGraph D: y/mm against t/s, amplitude 0 to +2.0, period 5.0 s
Mark scheme
91May / June 2019 · Paper 12 · Q23Show mark scheme →
A\frac{v}{2L}
B\frac{v}{L}
C\frac{2v}{L}
D\frac{L}{v}
Mark scheme
92May / June 2019 · Paper 12 · Q24Show mark scheme →
Agraph A
Bgraph B
Cgraph C
Dgraph D
Mark scheme
93May / June 2019 · Paper 12 · Q28Show mark scheme →
A6.7 Hz
B67 Hz
C6.7 kHz
D67 kHz
Mark scheme
94May / June 2019 · Paper 13 · Q21Show mark scheme →
A90°
B270°
C540°
D630°
Mark scheme
95May / June 2019 · Paper 13 · Q22Show mark scheme →
Athe average amount of energy possessed by a wave
Bthe difference in displacement between a peak and a trough
Cthe maximum displacement of a point on the wave from equilibrium
Dthe number of oscillations of a wave that occur per second
Mark scheme
96May / June 2019 · Paper 13 · Q23Show mark scheme →
A0.1 ms cm⁻¹
B1 ms cm⁻¹
C10 ms cm⁻¹
D100 ms cm⁻¹
Mark scheme
97Feb / March 2019 · Paper 12 · Q1Show mark scheme →
A200 ps
B2 ns
C20 ns
D20 000 µs
Mark scheme
98Feb / March 2019 · Paper 12 · Q23Show mark scheme →
Ahalf the maximum displacement of the particles from their position at rest
Bhalf the maximum distance apart of the particles
Cthe maximum displacement of the particles from their position at rest
Dthe maximum distance apart of the particles
Mark scheme
99Oct / Nov 2018 · Paper 11 · Q21Show mark scheme →
Aamplitude / intensity
Bfrequency / wavelength
Cspeed / frequency
Dwavelength / period
Mark scheme
100Oct / Nov 2018 · Paper 11 · Q22Show mark scheme →
Awavelength 0.13 m, frequency 15 Hz
Bwavelength 0.13 m, frequency 30 Hz
Cwavelength 0.27 m, frequency 15 Hz
Dwavelength 0.27 m, frequency 30 Hz
Mark scheme
101Oct / Nov 2018 · Paper 11 · Q23Show mark scheme →
Aamplitude 10 mV, frequency 50 Hz
Bamplitude 10 mV, frequency 100 Hz
Camplitude 20 mV, frequency 50 Hz
Damplitude 20 mV, frequency 100 Hz
Mark scheme
102Oct / Nov 2018 · Paper 12 · Q22Show mark scheme →
A2.5 m s⁻¹
B10 m s⁻¹
C20 m s⁻¹
D40 m s⁻¹
Mark scheme
103Oct / Nov 2018 · Paper 12 · Q23Show mark scheme →
A430 Hz
B680 Hz
C1100 Hz
D1400 Hz
Mark scheme
104Oct / Nov 2018 · Paper 13 · Q21Show mark scheme →
AI/9
BI/3
C3I
D9I
Mark scheme
105Oct / Nov 2018 · Paper 13 · Q22Show mark scheme →
A
B
C
D
Mark scheme
106Oct / Nov 2018 · Paper 13 · Q23Show mark scheme →
A1000 Hz
B1250 Hz
C2000 Hz
D2500 Hz
Mark scheme
107May / June 2018 · Paper 11 · Q20Show mark scheme →
Atime period amplitudes
Btime period displacements
Cwavelength amplitudes
Dwavelength displacements
Mark scheme
108May / June 2018 · Paper 12 · Q23Show mark scheme →
A0.24 Hz
B4.2 Hz
C12 Hz
D24 Hz
Mark scheme
109May / June 2018 · Paper 13 · Q20Show mark scheme →
A1.5
B2.5
C3.0
D6.0
Mark scheme
110May / June 2018 · Paper 13 · Q21Show mark scheme →
AGraph A
BGraph B
CGraph C
DGraph D
Mark scheme
111May / June 2018 · Paper 13 · Q22Show mark scheme →
A57 Hz
B71 Hz
C114 Hz
D143 Hz
Mark scheme
112Feb / March 2018 · Paper 12 · Q6Show mark scheme →
AThe amplitude is 3.5 cm.
BThe frequency is 0.5 kHz.
CThe period is 1 ms.
DThe wavelength is 4 cm.
Mark scheme
113Feb / March 2018 · Paper 12 · Q21Show mark scheme →
A[graph of s against t: negative rectangular pulse then positive triangular spike]
B[graph of s against t: positive triangular spike then negative rectangular pulse]
C[graph of s against t: negative triangular spike then positive rectangular pulse]
D[graph of s against t: positive rectangular pulse then negative triangular spike]
Mark scheme
114Feb / March 2018 · Paper 12 · Q22Show mark scheme →
AGraph A: displacement x against distance d, with λ marked between two adjacent troughs and A marked as the amplitude from the equilibrium axis to a crest.
BGraph B: displacement x against distance d, with T marked between two adjacent troughs and A marked as the amplitude from the equilibrium axis to a crest.
CGraph C: displacement x against distance d, with T marked between two adjacent crests and A marked as the peak-to-peak vertical distance.
DGraph D: displacement x against distance d, with λ marked between two adjacent crests and A marked as the peak-to-peak vertical distance.
Mark scheme
115Feb / March 2018 · Paper 12 · Q25Show mark scheme →
AThe frequency of the wave is 2.5 MHz and it lies in the microwave region of the electromagnetic spectrum.
BThe frequency of the wave is 2.5 MHz and it lies in the radio-wave region of the electromagnetic spectrum.
CThe frequency of the wave is 5.0 MHz and it lies in the microwave region of the electromagnetic spectrum.
DThe frequency of the wave is 5.0 MHz and it lies in the radio-wave region of the electromagnetic spectrum.
Mark scheme
116Oct / Nov 2017 · Paper 11 · Q22Show mark scheme →
Aamplitude
Bfrequency
Cperiod
Dwavelength
Mark scheme
117Oct / Nov 2017 · Paper 12 · Q5Show mark scheme →
A2.1 µs cm⁻¹
B3.2 µs cm⁻¹
C4.2 µs cm⁻¹
D6.3 µs cm⁻¹
Mark scheme
118Oct / Nov 2017 · Paper 12 · Q22Show mark scheme →
A[graph: kinetic energy against time, starting at maximum at t=0, decreasing to zero at T/2, rising to maximum at T, decreasing to zero at 3T/2, rising at 2T]
B[graph: kinetic energy against time, starting at zero at t=0, rising to maximum at T/2, decreasing to zero at T, rising to maximum at 3T/2, decreasing to zero at 2T]
C[graph: kinetic energy against time, starting at maximum at t=0, with four oscillations between 0 and 2T, minima at T/4, 3T/4, 5T/4, 7T/4]
D[graph: kinetic energy against time, starting at zero at t=0, with four oscillations between 0 and 2T, maxima at T/4, 3T/4, 5T/4, 7T/4]
Mark scheme
119Oct / Nov 2017 · Paper 12 · Q26Show mark scheme →
A180 Hz
B5.0 × 10⁵ Hz
C1.8 × 10¹¹ Hz
D5.0 × 10¹⁴ Hz
Mark scheme
120Oct / Nov 2017 · Paper 13 · Q22Show mark scheme →
AThe wave has a period of 2 s and could be either transverse or longitudinal.
BThe wave has a period of 2 s and must be transverse.
CThe wave has a period of 4 s and could be either transverse or longitudinal.
DThe wave has a period of 4 s and must be transverse.
Mark scheme
121Oct / Nov 2017 · Paper 13 · Q23Show mark scheme →
A0.13 Hz
B0.20 Hz
C5.0 Hz
D7.5 Hz
Mark scheme
122Oct / Nov 2017 · Paper 13 · Q24Show mark scheme →
A2 V
B4 V
C5 V
D10 V
Mark scheme
123Oct / Nov 2017 · Paper 13 · Q28Show mark scheme →
A5.0 × 10⁻⁵
B2.0 × 10¹
C2.0 × 10⁴
D5.0 × 10⁷
Mark scheme
124May / June 2017 · Paper 11 · Q22Show mark scheme →
AA
BB
CC
DD
Mark scheme
125May / June 2017 · Paper 11 · Q23Show mark scheme →
A0.15 m
B0.30 m
C0.60 m
D1.20 m
Mark scheme
126May / June 2017 · Paper 11 · Q24Show mark scheme →
A50 Hz
B100 Hz
C200 Hz
D400 Hz
Mark scheme
127May / June 2017 · Paper 12 · Q22Show mark scheme →
Afrequency 1.0 Hz, wavelength 3.0 × 10^8 m
Bfrequency 1.0 × 10^6 Hz, wavelength 300 m
Cfrequency 1.0 × 10^9 Hz, wavelength 0.30 m
Dfrequency 1.0 × 10^12 Hz, wavelength 3.0 × 10^-4 m
Mark scheme
128May / June 2017 · Paper 12 · Q24Show mark scheme →
A0.66 m
B1.5 m
C6.6 m
D500 m
Mark scheme
129May / June 2017 · Paper 13 · Q21Show mark scheme →
AAmplitude is inversely proportional to velocity.
BFrequency is inversely proportional to wavelength.
CIntensity is proportional to amplitude.
DVelocity is proportional to wavelength.
Mark scheme
130May / June 2017 · Paper 13 · Q22Show mark scheme →
A0.5 m
B1.0 m
C1.5 m
D2.0 m
Mark scheme
131May / June 2017 · Paper 13 · Q23Show mark scheme →
Afrequency 0.00375 Hz, amplitude 4.0 V
Bfrequency 0.00375 Hz, amplitude 8.0 V
Cfrequency 267 Hz, amplitude 4.0 V
Dfrequency 267 Hz, amplitude 8.0 V
Mark scheme
132Feb / March 2017 · Paper 12 · Q4Show mark scheme →
A50 ms cm⁻¹
B1 ms cm⁻¹
C10 µs cm⁻¹
D0.5 µs cm⁻¹
Mark scheme
133Feb / March 2017 · Paper 12 · Q22Show mark scheme →
Aamplitude ∝ intensity
Bamplitude ∝ (intensity)²
Camplitude ∝ √intensity
D(amplitude)² ∝ √intensity
Mark scheme
134Feb / March 2017 · Paper 12 · Q24Show mark scheme →
Aamplitude 2 cm, period 10 ms
Bamplitude 2 cm, period 90 ms
Camplitude 4 cm, period 10 ms
Damplitude 4 cm, period 90 ms
Mark scheme
135Oct / Nov 2016 · Paper 11 · Q5Show mark scheme →
A7.1 × 10⁻⁶ s
B1.4 × 10⁻⁵ s
C7.1 × 10⁻³ s
D1.4 × 10⁻² s
Mark scheme
136Oct / Nov 2016 · Paper 11 · Q25Show mark scheme →
AGraph A: displacement-time graph starting at maximum positive displacement at t = 0, with period 500 µs
BGraph B: displacement-time graph starting at zero displacement with negative gradient at t = 0, with period 500 µs
CGraph C: displacement-time graph starting at maximum negative displacement at t = 0, with period 500 µs
DGraph D: displacement-time graph starting at zero displacement with positive gradient at t = 0, with period 500 µs
Mark scheme
137Oct / Nov 2016 · Paper 12 · Q4Show mark scheme →
A2 µs / division
B20 µs / division
C2 ms / division
D3 ms / division
Mark scheme
138Oct / Nov 2016 · Paper 12 · Q23Show mark scheme →
A0.5 mm
B1.0 mm
C5.0 mm
D10.0 mm
Mark scheme
139Oct / Nov 2016 · Paper 12 · Q24Show mark scheme →
A3λ/8 and 5λ/8
B3λ/8 and 9λ/8
C5λ/8 and 9λ/8
D9λ/8 and 17λ/8
Mark scheme
140Oct / Nov 2016 · Paper 13 · Q5Show mark scheme →
A7.1 × 10⁻⁶ s
B1.4 × 10⁻⁵ s
C7.1 × 10⁻³ s
D1.4 × 10⁻² s
Mark scheme
141Oct / Nov 2016 · Paper 13 · Q25Show mark scheme →
AGraph A: cosine-like curve starting at maximum displacement at t = 0
BGraph B: sine-like curve starting at zero displacement, initially negative
CGraph C: sine-like curve starting at zero displacement, initially positive
DGraph D: sine-like curve starting at zero displacement, initially positive, same as original graph
Mark scheme
142May / June 2016 · Paper 11 · Q22Show mark scheme →
A0.23 m
B1.1 m
C1.4 m
D6.8 m
Mark scheme
143May / June 2016 · Paper 12 · Q4Show mark scheme →
A1 s cm⁻¹
B10 ms cm⁻¹
C100 µs cm⁻¹
D1 µs cm⁻¹
Mark scheme
144May / June 2016 · Paper 12 · Q22Show mark scheme →
Afrequency 330 Hz, amplitude 0.6 mV
Bfrequency 330 Hz, amplitude 1.2 mV
Cfrequency 670 Hz, amplitude 0.6 mV
Dfrequency 670 Hz, amplitude 1.2 mV
Mark scheme
145May / June 2016 · Paper 13 · Q5Show mark scheme →
A
B
C
D
Mark scheme
146May / June 2016 · Paper 13 · Q25Show mark scheme →
A1.4 µm
B2.0 µm
C2.8 µm
D4.0 µm
Mark scheme
147Feb / March 2016 · Paper 12 · Q22Show mark scheme →
Afrequency ½ f, amplitude ½ A
Bfrequency ½ f, amplitude 2A
Cfrequency 2f, amplitude ½ A
Dfrequency 2f, amplitude 2A
Mark scheme