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Which statement about sphericity is FALSE?

  • A.Values above one indicate an elongated particle
  • B.A perfect sphere has a sphericity of one
  • C.Flat seeds have low sphericity
  • D.It is computed from the principal dimensions

Answer: A

Correct answer: Values above one indicate an elongated particle

Sphericity cannot exceed one. Since a sphere encloses a given volume with the least surface area of any shape, the equal-volume sphere's area is always the smaller of the two in the ratio

\[ \Phi = \frac{A_{\text{sphere, equal volume}}}{A_{\text{particle}}} \le 1 \]

An elongated particle gives a low value, not one above unity. The other three statements are true: a perfect sphere gives exactly one, flat seeds give low values around 0.3 to 0.5, and the working formula \( (LWT)^{1/3}/L \) uses the three principal dimensions.

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