Match elastic quantities with formulas. List I: A. Young’s modulus; B. Compressibility; C. Bulk modulus; D. Poisson’s ratio. List II: I. -(Δd/d)/(ΔL/L); II. FL/(AΔL); III. -(1/V)(ΔV/ΔP); IV. -V(ΔP/ΔV).
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Question

Match elastic quantities with formulas. List I: A. Young’s modulus; B. Compressibility; C. Bulk modulus; D. Poisson’s ratio. List II: I. -(Δd/d)/(ΔL/L); II. FL/(AΔL); III. -(1/V)(ΔV/ΔP); IV. -V(ΔP/ΔV).

Options

G1 Physics · Accepted Answer

Step 1: Young’s modulus = tensile stress/longitudinal strain = (F/A)/(ΔL/L) = FL/(AΔL), so A → II. Step 2: Compressibility κ = −(1/V)(ΔV/ΔP), so B → III. Step 3: Bulk modulus K = 1/κ = −V(ΔP/ΔV), so C → IV. Step 4: Poisson’s ratio = −(lateral strain)/(longitudinal strain) = −(Δd/d)/(ΔL/L), so D → I. Final answer: A–II, B–III, C–IV, D–I (Option B).

Match elastic quantities with formulas. List I: A. Young’s modulus; B. Compressibility; C. Bulk modulus; D. Poisson’s ratio. List II: I. −(Δd/d)/(ΔL/L); II. FL/(AΔL); III. −(1/V)(ΔV/ΔP); IV. −V(ΔP/ΔV).