Engineering Materials·MCQ explained

Which of the following statement is INCORRECT?

Try it first: pick an option, then read the explanation.

Correct answer: B. Graphically the relation between the strength of concrete and the water-cement ratio is approximately

Detailed Explanation: Identifying the Incorrect Statement

This question tests careful understanding of the w/c ratio and its effects. Three of the four statements are factually correct; one contains an error about the graphical form of the strength-w/c relationship.

Why B is INCORRECT: Option (b) states the graphical relationship is “approximately [linear/direct]” — the statement appears cut off but implies a simple proportional relationship. In reality, Abrams' Law shows the strength-w/c graph is a hyperbolic (exponential) decreasing curve, not a straight line. The other options are correct: (a) Lower w/c = stiffer, less workable mix — correct; (c) Mechanical compaction achieves denser concrete at lower w/c than hand compaction — correct; (d) Lower w/c = higher strength per Abrams' Law — correct.

Strength vs. W/C Relationship Shape

ClaimCorrect?Reason
Relationship is linearINCORRECTIt is a hyperbolic curve (Abrams' Law)
Relationship is inverseCorrectHigher w/c = lower strength
Relationship is exponential decayCorrectf'c = A/B(w/c)

Key Concepts for Students

  • The strength-w/c graph is always a downward hyperbolic curve, never a straight line.
  • Mechanical compaction (vibration) allows lower w/c ratios because it provides the energy to compact stiff mixes that hand compaction cannot achieve.
  • Each IS exposure class specifies a maximum w/c, not a minimum, because lower is always better for strength and durability.