AQA GCSE Physics Physics Paper 2 (Higher), June 2024: Question 4

14 marks · Standard Demand difficulty · Short Answer

Analyze pressure in the Mariana Trench, calculate depth, identify seismic wave types and Earth layers, calculate wave wavelength, and describe the relationship between earthquake distance and wave arrival time difference.

Practise this question

Question

A multi-part physics exam question about pressure in the Mariana Trench, seismic waves, and wave properties. It includes diagrams of a submarine in the Mariana Trench and the interior layers of the Earth, alongside calculation and descriptive questions.
Question text

04 The Mariana Trench is the deepest part of the Pacific Ocean.

Figure 8 shows a submarine going to the bottom of the Mariana Trench.

Figure 8

04.1 The depth of the submarine increases.

Explain what happens to the pressure on the submarine.

[2 marks]

04.2 The submarine moved from the surface of the water to the bottom of the

Mariana Trench.

The change in pressure was 110 000 kPa.

mean density of sea water = 1026 kg/m3

gravitational field strength = 9.8 N/kg

Calculate the depth of the Mariana Trench.

Use the Physics Equations Sheet.

[4 marks]

Depth = m

Earthquakes often occur at the Mariana Trench.

P-waves and S-waves are produced by earthquakes.

04.3 Which statement describes P-waves and S-waves?

[1 mark]

Tick ( ) one box.

Both P-waves and S-waves are longitudinal.

Both P-waves and S-waves are transverse.

P-waves are longitudinal and S-waves are transverse.

P-waves are transverse and S-waves are longitudinal.19

04.4 Figure 9 shows the layers inside the Earth.

An earthquake occurs at the position shown.

Figure 9

Which letter shows the position where only P-waves will be detected?

Give a reason for your answer.

[2 marks]

Tick ( ) one box.

A B C D

*18* Reason

04.5 An S-wave has a frequency of 3.6 Hz.

The S-wave has a speed of 4.5 km/s.

Calculate the wavelength of this S-wave.

Use the Physics Equations Sheet.

[3 marks]

Wavelength = m

04.6 A seismometer is a device that detects earthquakes.

P-waves travel at a known speed between an earthquake and a seismometer.

S-waves travel at a slower speed than P-waves.

A P-wave and an S-wave from the earthquake arrive at the seismometer at

different times.

Describe the relationship between the distance from the earthquake to the

seismometer and the time between the P-wave and the S-wave arriving.

[2 marks]

Mark scheme

Show the mark scheme The mark scheme providing detailed answers, acceptable alternatives, and mark allocations for all six parts of Question 4, covering fluid pressure calculations, seismic wave characteristics, wave speed equation applications, and proportional relationships.

Question 4

AO /

Question Answers Extra information Mark

Spec. Ref.

04.1 the height of the (column of) allow volume / mass for height 1 AO1

water above the submarine 4.5.5.1.2

increases

which increases the force / allow p = ρgh and ρ and g 1

weight (of the water) acting on remain constant so pressure

the submarine so pressure increases

increases

AO /

Spec. Ref.

04.2 p = 110 000 000 Pa 1 AO2

4.5.5.1.2

110 000 000 = 1026 × 9.8 × Δh allow a correct substitution of an 1

incorrectly / not converted value

for p

110 000 000 allow a correct re-arrangement 1

Δh = using an incorrectly / not

1026 × 9.8

converted value for p

Δh = 10 940 (m) allow a correct calculation from 1

using an incorrectly / not

converted value for p

allow 11 000 (m) if correct

working shown

AO /

Spec. Ref.

04.3 P-waves are longitudinal and S- 1 AO1

waves are transverse – – – 4.6.1.5

AO /

Spec. Ref.

04.4 D 1 AO3

4.6.1.5

only P-waves can travel through allow only P-waves can travel 1

liquids through the outer core

allow S waves cannot travel

through liquids

allow S waves cannot travel

through the outer core 13

MP2 dependent on MP1

AO /

Spec. Ref.

04.5 4500 = 3.6 × λ allow a correct substitution of an 1 AO2

incorrectly / not converted value 4.6.1.2

for v

4500 allow a correct re-arrangement 1

λ = using an incorrectly / not

3.6

converted value for v

λ = 1250 (m) allow 1300 (m) 1

only allow an answer consistent

with a correctly converted value

for v

AO /

Spec. Ref.

04.6 the distance is (directly) allow they are (directly) 2 AO3

proportional to the time between proportional 4.5.6.1.2

the two waves arriving (at the

seismometer)

allow a greater distance means

a greater time for 1 mark

allow there is a positive

correlation for 1 mark

Total Question 4 14

How to answer it

Pressure in Fluids and Seismic Waves Study Guide

What this question tests

This question assesses your understanding of liquid pressure calculations (p = h × ρ × g), the properties of seismic waves (P-waves and S-waves), seismic wave calculations (v = f × λ), and interpreting graphical or proportional relationships in geophysical contexts.

Part (04.1)

Submarine Depth and Pressure

✅ Correct Answer

The height of the water column above the submarine increases, which increases the force/weight of the water acting on the submarine, causing the pressure to increase.

💡 Key Knowledge

Liquid pressure depends on depth. As depth increases, the column of water above becomes taller, meaning there is more weight of water pressing down due to gravity: p = hρg .

🧠 Exam Technique

Make sure you link depth ( h ) directly to the weight or force of the fluid above. Vague answers like "there is more water" without mentioning force or height will not score both marks.

Marks: 2 marks (1 mark for height/mass/volume of water increasing, 1 mark for linking this to increased force/weight leading to greater pressure).
Part (04.2)

Calculating the Depth of the Mariana Trench

✅ Correct Answer

10 940 m (or 11 000 m if working shows unit conversion consideration).

📐 Step-by-Step Calculation

  1. Convert units: Pressure must be in Pascals (Pa). Convert 110 000 kPa to Pa by multiplying by 1,000.
    Pressure ( p ) = 110 000 000 Pa .
  2. State the formula: p = h × ρ × g (from the physics equations sheet).
  3. Rearrange the formula: h = p / (ρ × g)
  4. Substitute values: h = 110 000 000 / (1026 × 9.8)
  5. Evaluate: h = 110 000 000 / 10054.8 = 10940.08... m

❌ Common Errors

  • Unit Trap: Forgetting to convert kiloPascals (kPa) into Pascals (Pa) is the #1 place students lose marks.
  • Rounding too early: Keeping intermediate numbers in your calculator prevents rounding errors in the final answer.
Marks: 4 marks (1 for unit conversion/correct pressure value, 1 for correct substitution, 1 for rearrangement, 1 for final calculated depth).
Part (04.3)

Properties of P-waves and S-waves

✅ Correct Answer

Tick the box: P-waves are longitudinal and S-waves are transverse.

💡 Key Knowledge

Recall wave types:
• P-waves (Primary waves): Longitudinal seismic waves (oscillations parallel to energy transfer).
• S-waves (Secondary waves): Transverse seismic waves (oscillations perpendicular to energy transfer).

Marks: 1 mark for selecting the correct statement.
Part (04.4)

Detecting Seismic Waves through Earth Layers

✅ Correct Answer

Letter: D
Reason: Only P-waves can travel through liquids (and S-waves cannot travel through the liquid outer core).

💡 Key Knowledge

Earth's structure includes a liquid outer core. Transverse waves (S-waves) cannot travel through liquids because liquids cannot support shear stresses. Longitudinal waves (P-waves) can travel through both solids and liquids.

🧠 Exam Technique

This is a dependent two-part mark scheme (MP2 is dependent on MP1). You must correctly identify letter D and give the scientific reason involving the state of matter (liquid outer core) blocking S-waves.

Marks: 2 marks (1 for selecting D, 1 for the correct physical justification about S-waves/liquids/outer core).
Part (04.5)

Calculating S-wave Wavelength

✅ Correct Answer

1250 m (allow 1300 m if using a rounded speed value).

📐 Step-by-Step Calculation

  1. State the wave equation: v = f × λ (Speed = Frequency × Wavelength)
  2. Rearrange for wavelength ( λ ): λ = v / f
  3. Substitute values: λ = 4500 / 3.6
  4. Calculate final value: λ = 1250 m

❌ Common Errors

  • Failing to rearrange the equation properly, resulting in v × f instead of v / f . Always double-check your substitution against the equation sheet.
Marks: 3 marks (1 for substitution, 1 for rearrangement, 1 for final correct value with unit).
Part (04.6)

Seismic Wave Arrival Times and Distance

✅ Correct Answer

The distance is (directly) proportional to the time between the two waves arriving at the seismometer (or a positive correlation / greater distance means greater time gap).

💡 Key Knowledge

Since P-waves travel faster than S-waves, the time gap ( t_S - t_P ) widens the further the waves travel from the earthquake epicentre. This time difference is used directly by seismologists to locate epicentres.

🧠 Exam Technique

Use precise scientific terminology. Stating that they are "directly proportional" or describing a clear positive linear trend guarantees full marks.

Marks: 2 marks (2 marks for stating direct proportionality, or 1 mark for a valid descriptive relationship like "greater distance means greater time difference").

Topics

Physics · P5: Forces · P6: Waves

Question and mark scheme from the AQA GCSE Physics examination, Physics Paper 2 (Higher), June 2024. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.