Young's modulus of steel wire calculation

Practice question

Question

A steel wire of length 4 m and cross-sectional area 2 × 10-6 m2 is stretched by 0.4 mm. If the force applied is 200 N, what is the Young's modulus of the steel?

Choose one · Correct answer highlighted

0.5 × 1012 N/m2 2 × 1012 N/m2 1.5 × 1012 N/m2 1 × 1012 N/m2 Correct

Young's modulus: Y = (F L) / (A ΔL). Substitute: ΔL = 0.4 × 10-3 m. Y = (200 × 4) / (2 × 10-6 × 0.4 × 10-3) = 800 / (8 × 10-10) = 1 × 1012 N/m2.

Share this question

Discussion

0 comments

Share your thoughts. New comments appear after admin approval.

Please log in to join the discussion.

No comments yet. Be the first to start the discussion.

Guides and insights connected to this topic

Cell Biology 31 Aug 2026

Learn what plasmolysis is, how it works in plant cells, and why it matters in biology with clear definitions and examples.

Cell Biology 31 Aug 2026

Learn about the structure, locations, and functions of mucous membranes. Discover common disorders and how they protect the body.

Cell Biology 31 Aug 2026

Learn about the three main types of bone cells—osteoblasts, osteocytes, and osteoclasts—their roles in bone formation, maintenance, and remodeling.