AQA GCSE Combined Science: Trilogy Physics Paper 2 (Foundation), November 2020: Question 5

9 marks · Standard Demand difficulty · Short Answer

Identify wave properties from diagrams and calculate wave speed, period, and frequency from graphical data.

Practise this question

Question

The question contains multiple parts about wave properties. Question 05.1 to 05.3 show Figure 6 with four waves labeled A, B, C, and D drawn to the same scale, asking which wave has the greatest amplitude, greatest frequency, and greatest wavelength. Question 05.4 asks to calculate wave speed given a frequency of 1650 Hz and a wavelength of 0.200 m using wave speed = frequency × wavelength. Question 05.5 and 05.6 show Figure 7 depicting a smartphone held near a loudspeaker and Figure 8 displaying a displacement versus time graph of a wave with time markings at 0, 0.002, 0.004, 0.006, and 0.008 seconds, asking to identify the period and calculate the frequency.
Question text

05 Figure 6 shows four waves.

The waves are drawn to the same scale.

Figure 6

05.1 Which wave has the greatest amplitude?

[1 mark]

Tick ( ) one box.

A B C D

05.2 Which wave has the greatest frequency?

[1 mark]

Tick ( ) one box.

A B C D

05.3 Which wave has the greatest wavelength?

[1 mark]

Tick ( ) one box.

A B 16C D

05.4 A wave has a frequency of 1650 Hz and a wavelength of 0.200 m

Calculate the wave speed.

Use the equation:

wave speed = frequency × wavelength

[2 marks]

Wave speed = m/s

A student uses a mobile phone app that displays sound waves.

Figure 7 shows the student holding the mobile phone close to a loudspeaker.

Figure 7

Figure 8 shows the wave pattern seen on the phone screen.

Figure 8

05.5 What is the period of the wave shown in Figure 8?

[1 mark]

Tick ( ) one box.

0.002 s 0.004 s 0.006 s 0.008 s

05.6 Determine the frequency of the wave shown in Figure 8.

Use the Physics Equations Sheet.

[3 marks]

Frequency = Hz

Mark scheme

Show the mark scheme Mark scheme for question 05 with a total of 9 marks: 05.1 gives 1 mark for A; 05.2 gives 1 mark for B; 05.3 gives 1 mark for D; 05.4 awards 1 mark for substitution v = 1650 × 0.200 and 1 mark for 330 (m/s); 05.5 awards 1 mark for 0.004 s; 05.6 awards 1 mark for 0.004 = 1 / frequency, 1 mark for frequency = 1 / 0.004, and 1 mark for 250 (Hz), allowing error carried forward from 05.5.

AO /

Question Answers Extra information Mark

Spec. Ref.

05.1 A 1 AO1

6.6.1.2

05.2 B 1 AO1

6.6.1.2

05.3 D 1 AO1

6.6.1.2

05.4 v = 1650 × 0.200 1 AO2

6.6.1.2

v = 330 (m/s) 1

05.5 0.004 s 1 AO2

6.6.1.2

allow ecf from question 05.5

05.6 1 1 AO2

0.004 =

frequency 6.6.1.2

frequency =

0.004

F = 250 (Hz)

Total 9

How to answer it

Wave Features, Speed, and Frequency

AQA GCSE Combined Science: Trilogy • Physics Paper 2 • Topic 6.6 Waves

What this question tests

  • Visual wave features: Identifying amplitude, wavelength, and frequency by comparing wave traces drawn to the same scale.
  • Wave speed formula: Applying wave speed = frequency × wavelength .
  • Interpreting displacement-time graphs: Determining the time period ( T ) of a single complete wave oscillation.
  • Period-frequency relationship: Selecting and rearranging period = 1 / frequency to calculate frequency in Hertz (Hz).

Parts 05.1, 05.2 & 05.3: Comparing Wave Traces

Identifying Wave Characteristics from Diagrams

✅ Correct Answers

  • 05.1 Greatest Amplitude: A [1 mark]
  • 05.2 Greatest Frequency: B [1 mark]
  • 05.3 Greatest Wavelength: D [1 mark]

💡 Key Knowledge

  • Amplitude: The maximum displacement of a point on a wave from its undisturbed position (the height from the middle line to the crest or trough). Wave A is the tallest.
  • Frequency: The number of complete waves passing a point each second. Wave B has the most cycles packed into the same space.
  • Wavelength: The distance between two matching points on adjacent cycles (e.g. peak to peak). Wave D has the widest, most stretched-out single cycle.

🧠 Exam Technique

Always inspect the axis and scale. Since all four traces are drawn to the same scale:

  • Tallest trace = greatest amplitude.
  • Most crowded waves = highest frequency.
  • Widest spread per cycle = longest wavelength.

❌ Common Errors

  • Measuring amplitude from peak to trough instead of from the middle line to peak.
  • Confusing frequency (how squashed together the waves are) with wavelength (the width of one wave). High frequency means short wavelength!

Part 05.4: Calculating Wave Speed

Applying the Wave Equation [2 marks]

📐 Step-by-Step Calculation

Given:

  • Frequency ( f ) = 1650 Hz
  • Wavelength ( λ ) = 0.200 m
  • Equation: v = f × λ

Step 1: Substitute the values into the formula
v = 1650 × 0.200

Step 2: Calculate the final answer
v = 330 m/s

✅ Mark Scheme Breakdown

  • 1st Mark: Correct substitution: 1650 × 0.200
  • 2nd Mark: Correct calculation: 330 (m/s)
💡 Examiner Note: 330 m/s is the standard speed of sound in air! Checking whether your answer is physically reasonable is a great sanity check in Physics exams.

❌ Common Trap

Dividing instead of multiplying. The formula was given directly in the question: wave speed = frequency × wavelength . Always write out your substitution step clearly to secure the method mark even if you make a calculator slip.

Part 05.5: Determining Period from a Graph

Reading Displacement-Time Waveform Displays [1 mark]

✅ Correct Answer

0.004 s

Tick the second box (0.004 s) [1 mark]

💡 Key Knowledge

The period is the time taken for one complete cycle of an oscillation.

  • A full wave consists of one crest + one trough.
  • The wave starts at 0 s , rises to a peak, passes the centre line at 0.002 s (half a wave), goes through a trough, and returns to the centre line moving upwards at 0.004 s .
  • Therefore, 1 complete cycle takes 0.004 s.

❌ Common Misconception

Many students choose 0.002 s because they stop when the wave first hits the axis. That is only half of a wave! Always trace a full crest AND a full trough to find the period.

Part 05.6: Calculating Frequency from Period

Selecting & Rearranging the Equation [3 marks]

📐 Step-by-Step Calculation

Step 1: Select the equation from the Physics Equations Sheet
period = 1 / frequency  or  T = 1 / f

Step 2: Substitute your value for period (from 05.5)
0.004 = 1 / frequency [1 mark]

Step 3: Rearrange to make frequency the subject
frequency = 1 / 0.004 [1 mark]

Step 4: Solve
frequency = 250 Hz [1 mark]

🧠 Exam Technique & ECF

  • Error Carried Forward (ECF): If you chose an incorrect period in 05.5 (e.g. 0.002 s), you can still gain all 3 marks here if you correctly calculate 1 / 0.002 = 500 Hz !
  • Rearrangement Rule: If A = 1 / B , then B = 1 / A . The unknown and the denominator simply swap places.
  • Remember the unit for frequency is Hertz (Hz), which means "cycles per second".

✅ Final Answer

Frequency = 250 Hz

Topics

Physics · P6: Waves

Question and mark scheme from the AQA GCSE Combined Science: Trilogy examination, Physics Paper 2 (Foundation), November 2020. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.