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O-LevelPhysicsMeasurement5054/32 · Oct/Nov 2024 · Q110 Marks

In this experiment you will determine an approximate value for the density of the glass from which a test-tube is made. You are provided with: • a test-tube • a 250 cm³ glass beaker containing water • a 30 cm ruler • a 100 cm³ measuring cylinder • 2 rectangular blocks of wood • access to a balance. The height h and the external diameter d of the test-tube are shown in Fig. 1.1. [Figure 1.1]

  1. (a)(i)Use the balance to measure the mass m of the test-tube. Record your answer to the nearest gram. m = ..................................................... g [1][1]
  2. (a)(ii)Measure the height h of the test-tube. Record your answer to the nearest 0.1 cm. h = ..................................................... cm [1][1]
  3. (a)(iii)Measure and record the external diameter d of the test-tube. Use the two wooden blocks to help you. d = ..................................................... cm [1][1]
  4. (a)(iv)Draw a diagram to show how you use the wooden blocks to help you obtain your measurement of d in (iii). [1][1]
  5. (b)The shape of the test-tube is approximately a cylinder. Calculate the external volume VE of the test-tube using the equation: VE = 0.79 d² h VE = ..................................................... cm³ [1][1]
  6. (c)Fill the test-tube to the top with water. Pour the water carefully from the test-tube into the measuring cylinder. Read and record the volume of water VI in the measuring cylinder. This is the internal volume of the test-tube. VI = ..................................................... cm³ [1][1]
  7. (d)Calculate the volume of the glass VG in the test-tube using the equation: VG = VE - VI VG = ..................................................... cm³ [1][1]
  8. (e)Suggest one source of inaccuracy in measuring the internal volume of the test-tube VI. [1][1]
  9. (f)Use your results from (a)(i) and (d) to calculate the density ρ of the glass from which the test-tube is made. Use the equation: ρ = m/VG Give the unit for your answer. ρ = ..................................................... unit ..................... [2][2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

  1. [1] m recorded to the nearest gram
  2. [1] h recorded in centimetres to the nearest millimetre
  3. [1] d recorded in centimetres to the nearest millimetre
  4. [1] test-tube between blocks and touching blocks along length (with rule across blocks)
  5. [1] VE calculation correct
  6. [1] VI recorded to nearest cm³ (and less than VE)
  7. [1] VG correctly calculated
  8. [1] cannot tell when test-tube is full / can overfill the test-tube / water spilled on transfer / measuring cylinder only reads to nearest 1 cm³ / water stuck to the side of the measuring cylinder / beaker
  9. [1] density calculation correct using candidate values
  10. [1] g/cm³

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About this question

Topic
Measurement, O-Level Physics (syllabus 5054). Structured question, 10 marks.
Source
O-Level Physics, Oct/Nov 2024 Paper 3 Variant 2, question 1.

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