A quantity 𝑥 is to be determined from the equation, 𝑥 = 𝑃 - 𝑄. 𝑃 is measured as (1.27 ± 0.02) 𝑚 and 𝑄 is measured as (0.83 ± 0.01) 𝑚. What is the percentage uncertainty in 𝑥 to one significant figure?

Correct answer: D. 7%

A. 0.4%
B. 2%
C. 3%
D. 7%

Explanation

The following is the solution:•The first figures are to be subtracted:1.27-0.83=0.44•The second figures (least counts) are to be added:0.02+0.01=0.03•Now the results from both steps are divided:=(0.03/0.44)x100=6.82% ≈ 7%Hence, option D is correct.

Last updated 2 September 2026

A quantity 𝑥 is to be determined from the equation, 𝑥 = 𝑃 - 𝑄. 𝑃 is measured as (1.27 ± 0.02) 𝑚 and 𝑄 is measured as (0.83 ± 0.01) 𝑚. What is the percentage uncertainty in 𝑥 to one significant figure?

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