MYP Physics · 08 · data analysis
Pressure below an unknown liquid
Pressure and fluids · Original GioPhysics question with a detailed, mark-by-mark answer guide.
- Demand
- routine
- Marks
- 7
- Topics
- 2
- Answer
- Complete
Gauge pressure at different depths
The plotted points reproduce the two columns of the question table, in the original units.
Vertical axis (y): Gauge pressure / Pa
Horizontal axis (x): Depth / m
Read the exact data as a table
| Depth / m | Gauge pressure / Pa |
|---|---|
| 0.05 | 400 |
| 0.1 | 800 |
| 0.15 | 1200 |
| 0.2 | 1600 |
These are the supplied values, not a worked answer. No fitted trend is drawn.
A pressure sensor measures gauge pressure below the surface of a liquid. Gauge pressure excludes atmospheric pressure. Use g = 10 N kg⁻¹.
| Depth / m | Gauge pressure / Pa |
|---|---|
| 0.05 | 400 |
| 0.10 | 800 |
| 0.15 | 1200 |
| 0.20 | 1600 |
- a
Describe Describe the pattern supported by the data.
2 marks - b
Determine Use p = ρgh to determine the liquid's density.
3 marks - c
Predict Predict the gauge pressure at a depth of 0.35 m and state one model assumption.
2 marks
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a
Describe Describe the pattern supported by the data.
Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.
- 1
States that gauge pressure is directly proportional to depth.
- 2
Supports the statement, for example by noting that doubling depth doubles pressure.
b
Determine Use p = ρgh to determine the liquid's density.
Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.
- 1
Rearranges to ρ = p ÷ (gh).
- 2
Substitutes a consistent pair, for example 1600 ÷ (10 × 0.20).
- 3
Obtains density = 800 kg m⁻³.
c
Predict Predict the gauge pressure at a depth of 0.35 m and state one model assumption.
Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.
- 1
Calculates p = 800 × 10 × 0.35 = 2800 Pa.
- 2
States a relevant assumption such as constant liquid density, uniform gravitational field, or a stationary connected liquid.
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