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(a)(i)Read question and case materials as text
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A student measures the capacity of a drinks cup by three methods. Fig. 1.1 is a full-size drawing of the cup.
Measure the height h, top diameter D and bottom diameter d in the full-size Fig. 1.1. Record each to the nearest 0.1 cm.
A student measures the capacity of a drinks cup by three methods. Fig. 1.1 is a full-size drawing of the cup.
Fig. 1.1
Measure the height h, top diameter D and bottom diameter d in the full-size Fig. 1.1. Record each to the nearest 0.1 cm.
[2 marks]
(a)(ii)Read question and case materials as text
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A student measures the capacity of a drinks cup by three methods. Fig. 1.1 is a full-size drawing of the cup.
Using your measurements from Fig. 1.1, calculate the average cup diameter d_A = (D + d)/2 in cm.
Using your measurements from Fig. 1.1, calculate the average cup diameter d_A = (D + d)/2 in cm.
Fig. 1.1
Answer guidance
Using You must use the thing it names. An answer that reaches the right value another way may not score.
[1 mark]
(a)(iii)Read question and case materials as text
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A student measures the capacity of a drinks cup by three methods. Fig. 1.1 is a full-size drawing of the cup.
Using your height h and average diameter d_A from Fig. 1.1, calculate capacity V₁ = πd_A²h/4 in cm³.
Using your height h and average diameter d_A from Fig. 1.1, calculate capacity V₁ = πd_A²h/4 in cm³.
Fig. 1.1
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)(i)
A string is wrapped five times around the cup; its total measured length is 87.9 cm. Calculate one average circumference C in cm.
Answer guidance
Calculate Show your working. The method can earn marks even when the final value is wrong, and a bare answer often cannot.
[1 mark]
(b)(ii)Read question and case materials as text
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A student measures the capacity of a drinks cup by three methods. Fig. 1.1 is a full-size drawing of the cup.
Using your height h from Fig. 1.1 and average circumference C from method 2, calculate capacity V₂ = C²h/(4π) in cm³.
Using your height h from Fig. 1.1 and average circumference C from method 2, calculate capacity V₂ = C²h/(4π) in cm³.
Fig. 1.1
Answer guidance
Using You must use the thing it names. An answer that reaches the right value another way may not score.
[1 mark]
(c)(i)Read question and case materials as text
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A student measures the capacity of a drinks cup by three methods. Fig. 1.1 is a full-size drawing of the cup.
The measuring cylinder initially contains water to 220 cm³. Fig. 1.2 shows the reading after water is poured into the cup until full. Record the new reading R in cm³.
The measuring cylinder initially contains water to 220 cm³. Fig. 1.2 shows the reading after water is poured into the cup until full. Record the new reading R in cm³.
Fig. 1.2
[1 mark]
(c)(ii)Read question and case materials as text
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A student measures the capacity of a drinks cup by three methods. Fig. 1.1 is a full-size drawing of the cup.
Using the initial 220 cm³ and the new reading R in Fig. 1.2, calculate the volume V₃ transferred into the cup. Show your working.
Using the initial 220 cm³ and the new reading R in Fig. 1.2, calculate the volume V₃ transferred into the cup. Show your working.
Fig. 1.2
Answer guidance
Show The result is given, so every step of the reasoning is what earns the marks.
[1 mark]
(d)
State one specific reason why method 2 (string around the cup) is inaccurate and one specific reason why method 3 (water transfer) is inaccurate.
Answer guidance
State A short answer. No explanation is needed, and adding one cannot earn extra marks.
[2 marks]
5054/42/M/J/23Cambridge O Level Physics 5054 · May/June 2023 · Paper 4 variant 2 · Question 1