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Use of SI units and their prefixes

This topic underpins calculation, practical and data-analysis work across A-level Physics.

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90 min

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AqaA LevelPhysicsMeasurements and their errors

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SI units, prefixes and equation consistency4 objectives
  • Convert between common SI prefixes and standard form.
  • Use base and derived SI units correctly in physical quantities.
  • Check whether equations are homogeneous by comparing units.
  • Present calculated values with appropriate units and powers of ten.

Key terms

SI PrefixStandard FormHomogeneous EquationSI unitderived unithomogeneous equationhomogeneous equationsSI unitsunit comparisonstandard form

Exam tips

  • Converting Kilometers to Meters: To convert kilometers to meters, use the conversion factor: 1 km = 1000 m. Multiply the number of kilometers by 1000.
  • Using Standard Form for Large Numbers: When expressing large numbers, convert them to standard form. For example, 3000 can be written as 3.0 x 10^3.

Common mistakes

  • Incorrect Conversion of Prefixes: To fix this, remember that 1 Mg = 10^6 g. Therefore, when converting, use the formula: 1 Mg = 1 x 10^6 g. Substituting gives: 1 Mg = 1,000,000 g.
  • Misunderstanding Standard Form: To correct this, recall that standard form requires a number between 1 and 10 multiplied by a power of ten. For 0.0005 m, rewrite it as 5 x 10^-4 m, ensuring the decimal is moved correctly.

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