Match List I with List II : List I List II A. Young's Modulus I. (Δ...

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

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

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

Poisson's Ratio is the ratio of lateral strain to longitudinal strain:
$\sigma = \dfrac{\Delta d/d}{\Delta L/L} = \dfrac{\Delta d}{\Delta L}\left(\dfrac{L}{d}\right)$
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