A Levels Physics (9702)•9702/12/M/J/24

Explanation
Percentage Uncertainty Propagation Steps:
- Percentage uncertainty (%Δ) adds for products/divisions: %ΔW = %ΔX + %ΔY.
- For sums, %ΔW depends on relative magnitudes, not simply %ΔY.
- W = Y ignores X, but directly transfers %ΔY to W.
- Compare each option's %ΔW to %ΔY = 4%.
Why D is correct:
- If W = Y, %ΔW = %ΔY exactly, by definition of direct equality.
Why the others are wrong:
- A: W = XY gives %ΔW = 2% + 4% = 6% ≠ 4%.
- B: W = X + Y gives %ΔW ≈ √[(ΔX)^2 + (ΔY)^2]/W * 100%, not necessarily 4%.
- C: W = X gives %ΔW = 2% ≠ 4%.
Final answer: D
Topic: Errors and uncertainties
Practice more A Levels Physics (9702) questions on mMCQ.me