City Guilds Model Questions Vol1 2021 Engineering Question 32

Practice objective / multiple choice question 32 from the 2021 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2021 Engineering Objective / Multiple Choice Hard Difficulty
Question 32 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2021 • ENGINEERING • objective

A solid steel rod is measured with a caliper. Its length is \(150.0\ \text{mm}\) with an uncertainty of \(\pm0.1\ \text{mm}\), and its diameter is \(20.00\ \text{mm}\) with an uncertainty of \(\pm0.05\ \text{mm}\).\n\n(a) Calculate the volume of the rod and the percentage uncertainty in the volume.\n(b) Using a density of \(7.85\ \text{g cm}^{-3}\) (assumed exact), determine the mass of the rod and the absolute uncertainty in the mass.

Answer Options

A. Volume = 48.50 cm³ ± 0.20 cm³ (≈0.4 %); Mass = 380.5 g ± 1.5 g
Correct Answer B. Volume = 47.12 cm³ ± 0.24 cm³ (≈0.5 %); Mass = 369.8 g ± 1.9 g
C. Volume = 46.00 cm³ ± 0.30 cm³ (≈0.7 %); Mass = 360.0 g ± 2.5 g
D. Volume = 47.12 cm³ ± 0.15 cm³ (≈0.3 %); Mass = 369.8 g ± 2.8 g
Correct Answer
B
Correct Option:
Volume = 47.12 cm³ ± 0.24 cm³ (≈0.5 %); Mass = 369.8 g ± 1.9 g

About This Question

This is City Guilds Model Questions Vol1 2021 Engineering Question 32. It is one of the objective questions from the 2021 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Hard .

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