\n\nFor the spherical body subjected to uniform external pressure shown, which of the following moduli is being measured?
AYoung's modulus $Y$
BShear modulus $G$
CBulk modulus $K$
DCompressibility (which has no dimensions)
Answer & Solution
Correct answer: C. Bulk modulus $K$
Uniform (hydrostatic) pressure acting normal to every surface element of a body produces a volumetric strain only — no shape change. The modulus that connects volumetric stress (pressure) to volumetric strain is the **bulk modulus** $K = -P/(\Delta V/V)$. Note: compressibility $= 1/K$ and *does* have dimensions of inverse pressure.
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