City Guilds Model Questions Vol1 2018 Engineering Question 15

Practice objective / multiple choice question 15 from the 2018 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2018 Engineering Objective / Multiple Choice Hard Difficulty
Question 15 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2018 • ENGINEERING • objective

A metal rod is measured twice: with a steel rule (uncertainty \(\pm0.5\) mm) giving \(250.3\) mm and with a digital caliper (uncertainty \(\pm0.1\) mm) giving \(250.8\) mm. Using inverse‑variance weighting, (a) find the best estimate of the true length and its combined standard uncertainty; (b) if a piece is to be cut to \(150.0\) mm using this best estimate as the reference, compute the percentage error associated with the measurement uncertainty.

Answer Options

A. Best estimate = 250.55 mm ± 0.12 mm; Percentage error ≈ 0.075 %
Correct Answer B. Best estimate = 250.78 mm ± 0.10 mm; Percentage error ≈ 0.067 %
C. Best estimate = 251.10 mm ± 0.15 mm; Percentage error ≈ 0.090 %
D. Best estimate = 250.90 mm ± 0.08 mm; Percentage error ≈ 0.058 %
Correct Answer
B
Correct Option:
Best estimate = 250.78 mm ± 0.10 mm; Percentage error ≈ 0.067 %

About This Question

This is City Guilds Model Questions Vol1 2018 Engineering Question 15. It is one of the objective questions from the 2018 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Hard .

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