City Guilds Model Questions Vol1 2019 Engineering Question 11

Practice objective / multiple choice question 11 from the 2019 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2019 Engineering Objective / Multiple Choice Medium Difficulty
Question 11 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2019 • ENGINEERING • objective

A composite material is made from two constituents, A and B. The Young's modulus of A is (200\,\text{GPa}\) and that of B is unknown. The densities are (\rho_A=8000\,\text{kg/m}^3\) and (\rho_B=2700\,\text{kg/m}^3\). The overall modulus of the composite is (150\,\text{GPa}\) and the volume fraction of A is twice that of B. Determine (i) the modulus of B, (ii) the volume fractions of A and B, and (iii) the mass fractions of A and B in the composite.

Answer Options

Correct Answer A. Modulus of B = 50 GPa; Volume fractions - A = 2/3, B = 1/3; Mass fractions - A = 160/187 ≈ 0.856, B = 27/187 ≈ 0.144
B. Modulus of B = 50 GPa; Volume fractions - A = 1/2, B = 1/2; Mass fractions - A = 160/187 ≈ 0.856, B = 27/187 ≈ 0.144
C. Modulus of B = 50 GPa; Volume fractions - A = 2/3, B = 1/3; Mass fractions - A = 150/187 ≈ 0.802, B = 37/187 ≈ 0.198
D. Modulus of B = 75 GPa; Volume fractions - A = 2/3, B = 1/3; Mass fractions - A = 160/187 ≈ 0.856, B = 27/187 ≈ 0.144
Correct Answer
A
Correct Option:
Modulus of B = 50 GPa; Volume fractions - A = 2/3, B = 1/3; Mass fractions - A = 160/187 ≈ 0.856, B = 27/187 ≈ 0.144

About This Question

This is City Guilds Model Questions Vol1 2019 Engineering Question 11. It is one of the objective questions from the 2019 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Medium .

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