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⚛️ Physics  ·  Units and Measurements  ·  NEET & JEE

The volume of a sphere is calculated from its measured diameter. If the diameter is measured with a relative error of 1.5%, the relative error in the calculated volume is:

Answer: 4.5%.

  • A 1.5%
  • B 3%
  • C 6%
  • D 4.5%

Correct answer: D. 4.5%

Explanation: Volume V = (4/3)π(d/2)³ depends on the cube of diameter, so the relative error is multiplied by 3: 3 × 1.5% = 4.5%.

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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