Related Formula
Y = (FL)/(AΔ L)$$Y = \frac{FL}{A\Delta L}$$
K = -P(V)/(Δ V)$$K = -P\frac{V}{\Delta V}$$
Compressibility = (1)/(K)$$\text{Compressibility} = \frac{1}{K}$$
Core Logic
A. Young's Modulus = (FL)/(AΔ L)$= \frac{FL}{A\Delta L}$ (II)
B. Compressibility = -(1)/(Δ P)((Δ V)/(V))$= -\frac{1}{\Delta P}\left(\frac{\Delta V}{V}\right)$ (III)
C. Bulk Modulus = -P((V)/(Δ V))$= -P\left(\frac{V}{\Delta V}\right)$ (IV)
D. Poisson's Ratio = (Δ d)/(Δ L)((L)/(d))$= \frac{\Delta d}{\Delta L}\left(\frac{L}{d}\right)$ (I)
Pattern Recognition
Direct match of elastic constants with mathematical definitions.
Chapter Mix
Class 11 Physics: Mechanical Properties of Solids