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Cambridge International AS & A Level · 1 · structured

Read measurements and judge their quality

Read measurements and judge their quality · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
demanding
Marks
11
Topics
3
Answer
Complete
structured11 marks

Use SI conventions. Two instruments repeatedly measure a reference length of 50.00 mm. Instrument A reads 52.00, 52.01, 51.99 mm; B reads 49.7, 50.3, 50.0 mm. All values below are illustrative data.

  1. (a)

    Explain what the statement L=0.250 m means by separating numerical magnitude from unit. Express the same length in centimetres and explain what does and does not change.

    3 marks
  2. (b)

    Give the SI base unit name and symbol for mass, length, time, electric current and thermodynamic temperature.

    5 marks
  3. (c)

    Which instrument is more precise? Which mean is more accurate? Explain why the answers differ.

    3 marks
Ready to self-mark?Reveal the detailed answer guide
Answer overview(a) Magnitude 0.250, unit metre; L=25.0 cm. Numerical value and unit change together while the physical length stays the same. (b) kilogram kg; metre m; second s; ampere A; kelvin K. (c) A is more precise because its scatter is smaller, but B's mean 50.0 mm is more accurate than A's52.00 mm relative to 50.00 mm.
01

(a)

3 marks

Explain what the statement L=0.250 m means by separating numerical magnitude from unit. Express the same length in centimetres and explain what does and does not change.

How to approach it

Identify what the question is testing, organise the response into distinct mark-earning points, and make every conclusion traceable to a physical principle or to the evidence supplied.

  1. 1

    A physical quantity comprises a numerical magnitude and a unit.

  2. 2

    Multiply 0.250m by 100 cm/m to obtain 25.0 cm.

  3. 3

    The two notations refer to the same length.

02

(b)

5 marks

Give the SI base unit name and symbol for mass, length, time, electric current and thermodynamic temperature.

How to approach it

Identify what the question is testing, organise the response into distinct mark-earning points, and make every conclusion traceable to a physical principle or to the evidence supplied.

  1. 1

    Associate each requested quantity with the matching unit and correct case-sensitive symbol.

  2. 2

    Mass uses kg, not g; temperature uses K, not °K.

03

(c)

3 marks

Which instrument is more precise? Which mean is more accurate? Explain why the answers differ.

How to approach it

Identify what the question is testing, organise the response into distinct mark-earning points, and make every conclusion traceable to a physical principle or to the evidence supplied.

  1. 1

    A range 0.02 mm is much smaller than B range 0.6 mm.

  2. 2

    A mean 52.00 mm is 2.00 mm from reference, while B mean is 50.0 mm.

  3. 3

    Precision concerns agreement of repeated readings; accuracy concerns closeness to the reference.

Complete marking guidance

Use these worked steps alongside the part-by-part answers. They explain the method and mark allocation; they do not add extra marks.

  1. (a) A physical quantity comprises a numerical magnitude and a unit.
  2. (a) Multiply 0.250m by 100 cm/m to obtain 25.0 cm.
  3. (a) The two notations refer to the same length.
  4. (b) Associate each requested quantity with the matching unit and correct case-sensitive symbol.
  5. (b) Mass uses kg, not g; temperature uses K, not °K.
  6. (c) A range 0.02 mm is much smaller than B range 0.6 mm.
  7. (c) A mean 52.00 mm is 2.00 mm from reference, while B mean is 50.0 mm.
  8. (c) Precision concerns agreement of repeated readings; accuracy concerns closeness to the reference.

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Your self-assessment

Compare your work with the guide. This is your own rating, not an awarded exam mark.