The density of a steel ball was determined by measuring its mass and diameter. The mass was measured within 1% and the diameter with 3%. The error in the calculated density of the steel ball is at most:
Correct answer: B. 4%
- A. 10%
- B. 4%
- C. 3%
- D. 2%
Explanation
b) 4%:This option suggests that the maximum error in the calculated density of the steel ball is 4%. While this seems reasonable, let's examine the errors in measuring the mass and diameter to confirm if this is accurate.
This question appeared on the HEC Phase II 2017 paper, which you can sit online with every answer explained.
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About Errors and Significant Figures
Measurement errors include random and systematic effects, absolute, fractional and percentage uncertainty, and the precision shown by significant figures. Questions apply rounding rules and uncertainty propagation in addition, subtraction, multiplication and division, while distinguishing accuracy from precision and uncertainty from an actual mistake.
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