Match List I with List II :

List I	List-II
(A) Young's Modulus	(I) \(\frac{\Delta d}{\Delta L}\left(\frac{L}{d}\right)\)
(B) Compressibility	(II) \(\frac{F L}{A(\Delta L)}\)
(C) Bulk Modulus	(III) \(-\frac{1}{\Delta P}\left(\frac{\Delta V}{V}\right)\)
(D) Poisson's Ratio	(IV) \(-P\left(\frac{V}{\Delta V}\right)\)

Choose the correct answer from the options given below:

(D) A-II, B-III, C-IV, D-I
Young's Modulus is the ratio of longitudinal stress to longitudinal strain:
\(Y=\frac{F / A}{\Delta L / L}=\frac{F L}{A \Delta L}\)
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.