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Paper 2 · Units and Measurement

A rectangular piece of paper has length 297±1 mm and width 152±1 mm. Using ΔA/A = ΔL/L + ΔW/W, calculate the fractional uncertainty in its area.

Model answer

0.00995

Also accepted: 0.01, 1%, 0,00995

Explanation: ΔA/A = ΔL/L + ΔW/W = 1/297 + 1/152 ≈ 0.00337 + 0.00658 ≈ 0.00995, about 1%.

Derived from ZIMSEC Physics Paper 2, June 2003, Q1

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