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A Levels Physics (9702)•9702/14/M/J/25
Question 3 from 9702/14/M/J/25

Explanation

Wall thickness from diameter difference Steps:

  • Subtract internal diameter from external: 12.0 mm - 10.0 mm = 2.0 mm (diameter difference).
  • Divide by 2 for wall thickness (one wall on each side): 2.0 mm / 2 = 1.0 mm.
  • Add uncertainties for subtraction: 0.1 mm + 0.1 mm = 0.2 mm (for difference).
  • Halve uncertainty for thickness: 0.2 mm / 2 = 0.1 mm. Why A is correct:
  • Matches formula t = (d_e - d_i)/2 with worst-case uncertainty propagation (addition then scaling). Why the others are wrong:
  • B: Uses full difference as thickness, ignoring division by 2.
  • C: Halves thickness but applies full added uncertainty to it.
  • D: Treats full difference as thickness with added uncertainty.

Final answer: A

Topic: Errors and uncertainties

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