IB Physics SL 6.5.2 Processing and interpreting data Question Bank
Practise IB Physics SL/HL 6.5.2 by applying processing and interpreting data concepts to exam-style physics questions.
- Syllabus
- First assessment 2025
- Course
- Physics SL
- Level
- SL
Practise IB Physics SL/HL 6.5.2 by applying processing and interpreting data concepts to exam-style physics questions.
A group of students uses pressurized air to move a piston that forces a nail into a block of wood. A gauge is used to measure the pressure P of compressed air above atmospheric pressure. The nail enters the wood perpendicular to its surface.

The students use a ruler to measure the length of the nail which remains above the surface of the wood as shown. The depth of the nail inside the wood is d. All necessary length measurements are recorded using a ruler with uncertainty ±1 mm.

The students systematically increase the pressure and calculate d.

By using two sets of data in the table, show that the relationship between d and P is not directly proportional.
The relationship between d and P is not directly proportional because P/d is not constant. For example, 50/15 = 3.3 and 100/21 = 4.8 (also 300/37 = 8.1), so the ratios are different. Equivalently, two different gradients/ratios/differences can be shown, or a point can be used to show the straight line would not pass through the origin.
The students suggest the following relationship between d and P :
where k is a constant.
To verify the relationship, the variation of d with P is plotted.
One data point is missing.

Determine the coordinates of the missing point using the original data set and plot it on the graph.
Correctly plotted ( 447±3,30 )