Question

The bulk modulus \( B \) and compressibility \( k \) are related by:

• A. \( k = \frac{1}{\sqrt{B}} \)
• B. \( k = B^2 \)
• C. \( k = \frac{1}{B} \)
• D. \( k = \frac{1}{B^2} \)

Hint:

Compressibility is the inverse of bulk modulus, so \( k = \frac{1}{B} \).

Answer 1

The Correct Option is C

The compressibility \( k \) is the reciprocal of the bulk modulus \( B \), as expressed by the formula: \[ k = \frac{1}{B} \] Thus, the correct relationship is \( k = \frac{1}{B} \).