2026 Mechanical Properties of SolidsElastic moduli - Young's modulus, bulk modulus, compressibility, Poisson's ratio Medium Question 1 of 15 in Mechanical Properties of Solids

Match List I with List II:

Column I

  • i. Young's Modulus
  • ii. Compressibility
  • iii. Bulk Modulus
  • iv. Poisson's Ratio

Column II

  • a. $\frac{\Delta d}{\Delta L}\left(\frac{L}{d}\right)$
  • b. $\frac{FL}{A(\Delta L)}$
  • c. $-\frac{1}{\Delta P}\left(\frac{\Delta V}{V}\right)$
  • d. $-P\left(\frac{V}{\Delta V}\right)$

Correct answer: i → b, ii → c, iii → d, iv → a

Solution

Young's modulus $Y = \frac{FL}{A(\Delta L)}$ Compressibility $= \frac{1}{Bulk\ modulus} = -\frac{1}{\Delta P}\left(\frac{\Delta V}{V}\right)$ Bulk modulus $= -P\left(\frac{V}{\Delta V}\right)$ Poisson's ratio $= \frac{\Delta d / d}{\Delta L / L} = \frac{\Delta d}{\Delta L}\left(\frac{L}{d}\right)$ Correct match: i-b, ii-c, iii-d, iv-a.

Mechanical Properties of Solids in past papers

15 questions from this chapter have appeared across 11 exam years.