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Seismic Waves: P Waves, S Waves and Locating an Earthquake — Answers

Answer sheet with model answers and success criteria for the Year 9 earth, rocks & weather worksheet.

Success TutoringWorksheetsAnswer sheetYear 9 · Science · Earth, Rocks & Weather

Seismic Waves: P Waves, S Waves and Locating an Earthquake — Answers

Part A: Types of seismic waves

An earthquake happens when stress builds up in rocks, usually at plate boundaries, until they suddenly break and move. Energy spreads out from the focus as seismic waves, which are recorded by instruments called seismometers.

P waves are longitudinal (they push and pull the rock) and are the fastest. S waves are transverse (they shake the rock side to side) and cannot travel through liquids. Surface waves are the slowest but have the largest movements.

1.Match each type of seismic wave to its description.
  • P wave (primary)
  • S wave (secondary)
  • Surface wave
  • Slowest; travels along the surface and causes the most damage
  • Transverse; slower; travels through solids only
  • Longitudinal; fastest; travels through solids and liquids

Answer: P wave (primary) → Longitudinal; fastest; travels through solids and liquids; S wave (secondary) → Transverse; slower; travels through solids only; Surface wave → Slowest; travels along the surface and causes the most damage

2.What is the difference between the focus and the epicentre of an earthquake?

Answer: The focus is the point underground where the rock breaks and the earthquake starts. The epicentre is the point on Earth's surface directly above the focus.

3.At a seismic station, the S waves from an earthquake always arrive before the P waves.

Answer: False

P waves are faster, so they always arrive first. That is why they are called primary waves.

4.Which seismic waves usually cause the most damage to buildings?
  1. AP waves
  2. BS waves
  3. CSurface waves
  4. DAll cause equal damage

Answer: Surface waves

Surface waves arrive last but have the largest amplitude, producing the strongest shaking at the surface.

Part B: Locating the epicentre

Use these simplified speeds through the crust: P waves 8 km/s and S waves 4 km/s. time = distance ÷ speed.

Because P waves travel twice as fast, every 8 km of distance adds 1 s to the lag between the arrival of the P and S waves: distance (km) = 8 × lag time (s).

5.How long do P waves take to travel 1200 km?

Answer: 150 s

  1. time = distance ÷ speed
  2. 1200 ÷ 8 = 150 s
6.How long do S waves take to travel the same 1200 km, and what is the lag time between the P and S waves?

Answer: 300 s; lag 150 s

  1. 1200 ÷ 4 = 300 s
  2. Lag = 300 − 150 = 150 s
7.A seismic station records a lag time of 50 s between the P and S waves. How far away is the epicentre?

Answer: 400 km

  1. distance = 8 × lag time
  2. 8 × 50 = 400 km
  3. Check: P takes 400 ÷ 8 = 50 s, S takes 400 ÷ 4 = 100 s, lag = 50 s ✓
8.A second station records a lag of 30 s. How far is it from the epicentre?

Answer: 240 km

  1. 8 × 30 = 240 km
9.Why does the lag time get longer the further a station is from the epicentre?

Answer: The P waves gain more and more of a lead over the slower S waves the further they both travel, so the gap between their arrival times grows.

10.Explain why at least three stations are needed to find the exact location of the epicentre.

Answer: One station gives only the distance, so the epicentre could be anywhere on a circle of that radius. Two circles cross at two points. A third circle crosses only one of those points, which is the epicentre (triangulation).

Part C: Evidence and magnitude

11.Seismometers on the far side of Earth from an earthquake detect P waves but no S waves. What does this tell scientists about Earth's outer core?

Answer: The outer core must be liquid, because S waves cannot travel through liquids, so they are stopped by the outer core (creating an S-wave shadow zone).

12.Seismic waves change speed and direction as they pass through Earth. What does this show?
  1. AEarth is the same all the way through
  2. BEarth is made of layers with different properties
  3. CEarth's centre is hollow
  4. DSeismic waves only travel in straight lines

Answer: Earth is made of layers with different properties

Waves refract (bend) when they move into material with a different density or state, which shows Earth has a crust, mantle, outer core and inner core.

13.Each step of 1 on the magnitude scale means the ground shaking (amplitude) is 10 times greater. How many times greater is the shaking in a magnitude 6 earthquake than in a magnitude 4 earthquake?

Answer: 100 times

  1. 6 − 4 = 2 steps
  2. 10 × 10 = 100 times
14.Each step of 1 on the magnitude scale releases about 32 times more energy. About how many times more energy is released by a magnitude 6 earthquake than a magnitude 4?

Answer: About 1000 times (32 × 32 = 1024).

Part D: Apply

15.An earthquake happens 240 km from a coastal town. Calculate how long the town has between detecting the P waves and the arrival of the S waves, and explain how an earthquake early-warning system could use this time to reduce harm.[4 marks]

Model answer: P waves take 240 ÷ 8 = 30 s and S waves take 240 ÷ 4 = 60 s, so there is a 30 s gap (and the damaging surface waves arrive later still). An early-warning system uses seismometers to detect the fast but less damaging P waves, works out the location and size of the earthquake, and immediately sends alerts to phones, schools and businesses before the stronger shaking arrives. In those seconds people can drop, cover and hold on; trains can be slowed; gas supplies can be shut off automatically; surgeons can stop operations; and lifts can stop at the nearest floor. If the earthquake is under the sea, it can also trigger tsunami warnings so people can move to higher ground.

Success criteria:

  • Correct P and S travel times
  • Correct lag of 30 s
  • Explains that the system detects P waves first and sends alerts
  • Gives at least two actions that reduce harm
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