Elongation under a given force is inversely proportional to the cross-sectional area of the rod, assuming the material, length, and force are constant. Area is proportional to the square of the radius.
A steel rod having radius r and length L gets stretched along its length by ΔL, when a force F is applied to it. If another rod made of the same material having radius 2r and length L is subjected to the same force F, then the elongation observed for the second rod is
Asked in UPSC Geoscientist 2023 · Topic: Physical Properties of Materials (Elasticity and Plasticity)
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