Particle geometry — shape factor:\nFor a right circular cylinder whose length equals its diameter, the shape factor (defined here as L/D) is:

Introduction / Context:
“Shape factor” has several definitions in particle technology. In many quick MCQs, it is taken as a simple geometric ratio to characterise elongation or flatness—often length-to-diameter (L/D) for cylinders or rods. Being explicit about the definition avoids confusion with sphericity or surface/volume-based factors used elsewhere.

Given Data / Assumptions:

• Shape factor is defined for this question as L/D.
• The cylinder has length L equal to diameter D.

Concept / Approach:
With the stated definition, shape factor = L/D. If L equals D, then L/D = 1. Other more advanced definitions (e.g., sphericity = surface area of sphere of equal volume divided by actual surface area) yield different numbers, but those are not invoked here. The key is to apply the provided or implied definition consistently.

Step-by-Step Solution:

Verification / Alternative check:
Dimensional checks confirm a dimensionless ratio equal to unity for a cylinder with equal length and diameter.

Why Other Options Are Wrong:

• Values 0.5, 1.5, 2.0, 0.75 correspond to different L/D geometries (short disks or elongated rods), not L = D.

Common Pitfalls:
Mixing differing “shape factor” definitions; always confirm whether L/D, W/D, or sphericity is intended.

Final Answer:
1.0