Physics - Elasticity Question with Solution | TestHub

Young's Modulus is the ratio of longitudinal stress to longitudinal strain:
$Y=\frac{F/A}{\Delta L/L}=\frac{FL}{A\Delta L}$
This matches A with II.

Compressibility is the reciprocal of Bulk Modulus:
$k=\frac{1}{B}=\frac{-\Delta V/V}{\Delta P}=-\frac{1}{\Delta P}\left(\frac{\Delta V}{V}\right)$
This matches B with III.

Bulk Modulus is the ratio of volumetric stress to volumetric strain:
$B=\frac{-P}{\Delta V/V}=-P\left(\frac{V}{\Delta V}\right)$
This matches C with IV.

Poisson's Ratio is the ratio of lateral strain to longitudinal strain:
$\sigma =\frac{\Delta d/d}{\Delta L/L}=\frac{\Delta d}{\Delta L}\left(\frac{L}{d}\right)$
This matches D with I.

The correct matching is A-II, B-III, C-IV, D-I.

Answer: A-II, B-III, C-IV, D-I