Question

From the dynamic mechanical analysis of a polymer sample with a phase angle of 30°, the relationship between storage modulus \( E' \) and loss modulus \( E'' \) can be expressed as:

• A. ( E' = \sqrt{3} E'' \)
• B. ( 2E' = \sqrt{3} E'' \)
• C. ( E'' = \sqrt{3} E' \)
• D. ( 2E'' = \sqrt{3} E' \)

Hint:

In dynamic mechanical analysis, the relationship between storage modulus \( E' \) and loss modulus \( E'' \) at a given phase angle can often be represented by a simple ratio, depending on the angle.

Answer 1

The Correct Option is A

The dynamic mechanical analysis of a polymer involves relating the storage modulus \( E' \) and the loss modulus \( E'' \) at a given phase angle. At a phase angle of 30°, the relationship between \( E' \) and \( E'' \) is given by:
\[ E' = \sqrt{3} E''. \] Thus, the correct answer is option (A).