At a given frequency, the storage modulus \( G' \) and loss modulus \( G'' \) of four biomaterials are shown in the table below. Which of the following option(s) is/are CORRECT?
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A viscoelastic solid has both \( G'>G'' \), whereas a viscoelastic fluid has \( G''>G' \). An elastic solid has \( G'' = 0 \) and a large \( G' \).
To determine whether a material is a viscoelastic solid or fluid, we compare the values of the storage modulus \( G' \) and the loss modulus \( G'' \). Step 1: Definition of viscoelastic materials.
A viscoelastic solid has both a significant storage modulus \( G' \) and a nonzero loss modulus \( G'' \), with \( G'>G'' \).
A viscoelastic fluid has a significant loss modulus \( G'' \), but the storage modulus \( G' \) is relatively smaller, and \( G''>G' \).
An elastic solid has a large storage modulus \( G' \) and a negligible loss modulus \( G'' \). Step 2: Analyzing each biomaterial.
P, Q, R: These biomaterials have both significant \( G' \) and \( G'' \), but \( G'>G'' \), indicating they are viscoelastic solids.
S: This biomaterial has a large \( G' = 1000 \) Pa and \( G'' = 0 \), indicating it is an elastic solid. Step 3: Conclusion.
The correct answers are (A) P, Q, and R are viscoelastic solids, and (D) S is an elastic solid.
