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⚛️ Physics  ·  Units and Measurements  ·  NEET & JEE

The radius of a circle is measured with a relative error of 2%. What is the percentage error in its calculated area?

Answer: 4%.

  • A 2%
  • B 4%
  • C 6%
  • D 8%

Correct answer: B. 4%

Explanation: Area = πr², so the relative error in area is 2 times the relative error in r (power rule for error propagation): 2 × 2% = 4%.

The 7 SI Base UnitsLengthmetre (m)fundamentalMasskilogram (kg)Timesecond (s)Electric Currentampere (A)Temperaturekelvin (K)Amount ofSubstancemole (mol)LuminousIntensitycandela (cd)Every other physical quantity is derived by combining powers of these 7 base units

The 7 SI base units. All derived units (newton, joule, watt, volt, etc.) can be expressed as combinations of these 7 fundamental units raised to various powers.

Concept context

SI base units, dimensional analysis, significant figures, and error propagation. The toolkit every physics calculation relies on.

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