The density of steal ball was determined by measuring the mass and diameter. The mass was measured with 1% and diameter 3% of the error. In the calculated density of the steel ball is at most;
Correct answer: C. 4%
- A. 2%
- B. 8%
- C. 4%
- D. 10%
Explanation
4%: As mentioned earlier, the maximum error in the calculated density is the sum of the errors in measuring the mass and diameter, which is 1% + 3% = 4%. Therefore, the maximum error in the calculated density is 4%. Based on the analysis, the option that correctly represents the maximum error in the calculated density of the steel ball is 4%.
This question appeared on the ETEA MDCAT 2009 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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