City Guilds Model Questions Vol1 2024 Engineering Question 27

Practice objective / multiple choice question 27 from the 2024 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2024 Engineering Objective / Multiple Choice Hard Difficulty
Question 27 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2024 • ENGINEERING • objective

A solid steel rod of diameter 20 mm and density 7850 kg m⁻³ has an original total length of 2.00 m. It is to be cut into two pieces. When heated, the first piece expands uniformly by 0.5 % and the second piece by 0.8 %. After heating, the two pieces must exactly fill a gap of 2.014 m. Determine the original lengths of the two pieces (to the nearest millimetre) and the difference in mass between the longer and the shorter original piece (to the nearest gram).

Answer Options

A. L₁ ≈ 0.700 m, L₂ ≈ 1.300 m; mass difference ≈ 1 800 g
B. L₁ ≈ 0.650 m, L₂ ≈ 1.350 m; mass difference ≈ 1 500 g
Correct Answer C. L₁ ≈ 0.667 m, L₂ ≈ 1.333 m; mass difference ≈ 1 644 g
D. L₁ ≈ 0.667 m, L₂ ≈ 1.333 m; mass difference ≈ 1 700 g
Correct Answer
C
Correct Option:
L₁ ≈ 0.667 m, L₂ ≈ 1.333 m; mass difference ≈ 1 644 g

About This Question

This is City Guilds Model Questions Vol1 2024 Engineering Question 27. It is one of the objective questions from the 2024 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Hard .

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