A quantity π₯ is to be determined from the equation, π₯ = π - π. π is measured as (1.27 Β± 0.02) π and π is measured as (0.83 Β± 0.01) π. What is the percentage uncertainty in π₯ to one significant figure?
Correct answer: D. 7%
- A. 0.4%
- B. 2%
- C. 3%
- D. 7%
Explanation
The following is the solution:β’The first figures are to be subtracted:1.27-0.83=0.44β’The second figures (least counts) are to be added:0.02+0.01=0.03β’Now the results from both steps are divided:=(0.03/0.44)x100=6.82% β 7%Hence, option D is correct.
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Physical quantities are expressed with SI base and derived units, while measurement limits are described through accuracy, precision, absolute and percentage error, and significant figures. Dimensional analysis checks equations, derives relationships and detects inconsistent units, but it cannot determine numerical constants or distinguish quantities with identical dimensions.
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