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Q8.3: NCERT Physics - Part 2 MECHANICAL PROPERTIES OF SOLIDS 8.3 Solution: The stress-strain graphs for materials A and B are shown in…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often mistake a steeper elastic slope (higher Young's modulus) for a higher ultimate strength, but modulus is the stress‑to‑strain ratio in the linear region, whereas strength is the maximum stress reached before fracture. Always separate the slope of the initial linear portion from the peak stress value on the graph.
The stress-strain graphs for materials A and B are shown in Fig. 8.10. The graphs are drawn to the same scale. (a) Which of the materials has the greater Young's modulus? (b) Which of the two is the stronger material?
Step-by-Step Verified Solution
**Answer:** (a) Material A has greater Young's modulus. (b) Material A is stronger.
**Step-by-Step Explanation:**
(a) Young's modulus is the slope of the stress-strain curve in the linear region. From the graphs, for the same strain, material A shows greater stress. Hence, material A has greater Young's modulus [citation:1][citation:24].
(b) The strength of a material is determined by the maximum stress it can withstand before fracture. Material A reaches a higher fracture stress, so it is stronger [citation:1][citation:11].
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