2023 · O/N · 5054/41 | Q3

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CIE-5054-2023-ON-p41 · Question 3

Alternative to Practical: show readings, units and working. For a plotted graph or diagram, upload a clear image of your work on the supplied figure.
(a)
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A glass ball makes circular indentations in modelling clay. The apparatus, forces, scale drawings and original plotted graph are supplied in Figs. 3.1–3.5. Using the apparatus in Fig. 3.1, describe how to measure the diameter of the glass ball. Draw a labelled arrangement to help your explanation.

A glass ball makes circular indentations in modelling clay. The apparatus, forces, scale drawings and original plotted graph are supplied in Figs. 3.1–3.5.

Fig. 3.1

Using the apparatus in Fig. 3.1, describe how to measure the diameter of the glass ball. Draw a labelled arrangement to help your explanation.

Answer guidance

Draw Accuracy is being marked. Use the figure and be precise about position and labels.

[2 marks]
(b)(i)
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A glass ball makes circular indentations in modelling clay. The apparatus, forces, scale drawings and original plotted graph are supplied in Figs. 3.1–3.5. Fig. 3.2 shows the first setup. Fig. 3.3 is drawn to scale 1:5. Measure x and y on this original scale drawing and record both in mm.

Fig. 3.2 shows the first setup. Fig. 3.3 is drawn to scale 1:5. Measure x and y on this original scale drawing and record both in mm.

Fig. 3.2
Fig. 3.3

Measurement: this scale drawing is taken from the printed paper. On a small screen or when zoomed, use the enlarged source figure and account for display scaling.

[1 mark]
(b)(ii)

Using Fig. 3.3, use your measurements x and y from (b)(i) and the 1:5 drawing scale to calculate actual X and Y in metres, to the nearest mm.

Answer guidance

Using You must use the thing it names. An answer that reaches the right value another way may not score.

[1 mark]
(b)(iii)

Using Fig. 3.3 and the actual lengths X and Y from (b)(ii), calculate the force F₂ on the clay from F₂ = 3Y/X. Show working and answer in N.

Answer guidance

Show The result is given, so every step of the reasoning is what earns the marks.

[1 mark]
(c)
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A glass ball makes circular indentations in modelling clay. The apparatus, forces, scale drawings and original plotted graph are supplied in Figs. 3.1–3.5. Fig. 3.4 shows two full-size circular clay indentations. Measure and record their smaller diameter d₁ and larger diameter d₂ in mm.

Fig. 3.4 shows two full-size circular clay indentations. Measure and record their smaller diameter d₁ and larger diameter d₂ in mm.

Fig. 3.4

Measurement: this scale drawing is taken from the printed paper. On a small screen or when zoomed, use the enlarged source figure and account for display scaling.

[1 mark]
(d)(i)
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A glass ball makes circular indentations in modelling clay. The apparatus, forces, scale drawings and original plotted graph are supplied in Figs. 3.1–3.5. On the supplied Fig. 3.5 graph, plot the two additional data points from Table 3.1: (diameter mm, area mm²) = (10, 90.0) and (12, 141.3).

On the supplied Fig. 3.5 graph, plot the two additional data points from Table 3.1: (diameter mm, area mm²) = (10, 90.0) and (12, 141.3).

Fig. 3.5
Table 3.1 — points to add to the printed graph
Diameter of indentation / mmSurface area of indentation / mm²
1090.0
12141.3

Swipe sideways to see all columns.

[1 mark]
(d)(ii)

On Fig. 3.5, draw the best-fit curve through the plotted data.

[1 mark]
(d)(iii)

Use your Fig. 3.5 curve to determine areas A₁ and A₂ for your measured d₁ and d₂ from (c). Show at least one working line from the curve to both axes.

Answer guidance

Show The result is given, so every step of the reasoning is what earns the marks.

[1 mark]
(e)(i)

Another student claims A₂=kA₁ and F₂=kF₁. Using your F₂, A₁ and A₂, and F₁=3.0 N, calculate two values of k to suitable significant figures.

Answer guidance

Using You must use the thing it names. An answer that reaches the right value another way may not score.

[2 marks]
(e)(ii)

The two k values agree within experimental accuracy if they are within 10%. Explain whether the student’s claim is supported by your results.

Answer guidance

Explain Give reasons, not just what happens. Each distinct reason is usually worth a mark.

[1 mark]
(f)

Identify two variables to control so another laboratory using the same apparatus obtains similar indentation areas A₁ and A₂.

Answer guidance

Identify Name it and, where the marks allow, say what led you there.

[2 marks]

5054/41/O/N/23Cambridge O Level Physics 5054 · Oct/Nov 2023 · Paper 4 variant 1 · Question 3