Concept:Matching each mechanical property from List I with its correct definition formula in List II.
Formula:Young's Modulus:
Y=StrainStress=AΔLFLCompressibility:
k=Bulk Modulus1=−ΔP1VΔVBulk Modulus:
B=−ΔV/VΔP=−PΔVVPoisson's Ratio:
μ=Longitudinal StrainLateral Strain=ΔLΔd⋅dLSolution:Match each property in List I with its expression in List II using the standard formulas.
A. Young's Modulus → Expression II (
AΔLFL)
B. Compressibility → Expression III (
−ΔP1VΔV)
C. Bulk Modulus → Expression IV (
−PΔVV)
D. Poisson's Ratio → Expression I (
ΔLΔddL)
Thus the correct mapping is A-II, B-III, C-IV, D-I.
Answer:Option D (A-II, B-III, C-IV, D-I)