Difficulty: Easy
Correct Answer: 2.6
Explanation:
Introduction / Context:
For clean, quartz-rich sands, the particle specific gravity (Gs) clusters around a well-known value. This index is needed to translate between dry unit weight, void ratio, and saturation relationships, especially during preliminary design and quality control on earthworks and foundations.
Given Data / Assumptions:
Concept / Approach:
Quartz has Gs ≈ 2.65; sands composed primarily of quartz are commonly taken as Gs ≈ 2.65 in textbooks. Among the given discrete options, 2.6 is the closest practical choice and is often rounded to in problem sets and field approximations.
Step-by-Step Solution:
Verification / Alternative check:
Materials data sheets and soil mechanics texts agree on Gs ≈ 2.65 for silica sands; rounding to 2.6 is common when coarse options are provided.
Why Other Options Are Wrong:
1.6 and 2.0 are far too low for mineral grains; 2.2 and 2.4 are also below typical quartz values and would imply significant light minerals.
Common Pitfalls:
Using bulk aggregate specific gravity (which includes absorption) instead of particle Gs; assuming the same Gs for iron-rich or heavy-mineral sands which can be higher.
Final Answer:
2.6
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