2024 Mechanical Properties of SolidsYoung's Modulus and Elastic Limit Easy Question 2 of 15 in Mechanical Properties of Solids

The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are $8 \times 10^{8}$ N m$^{-2}$ and $2 \times 10^{11}$ N m$^{-2}$, is:

A 40 mm
B 8 mm
C 4 mm
D 0.4 mm

The answer is C.

Solution

Young's modulus $Y = \frac{stress}{\Delta l / l} \Rightarrow \Delta l = \frac{stress \times l}{Y}$ $\Delta l = \frac{8 \times 10^8 \times 1}{2 \times 10^{11}}$ $\Delta l = 4 \times 10^{-3}$ m $= 4$ mm

Concept Maximum elongation within elastic limit

Mechanical Properties of Solids in past papers

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