Engineering
Physics
SI Units
Dimensions
Stress Strain and Hookes Law New
Question

Wire of different radii are used in Searle’s experiment for measuring elasticity properties of a given material. In stress v/s strain graph, on using wire of larger radius. (Length of the wire remains constant)

line will not rotate at all

line will rotate anticlockwise

line will become curved.

line will rotate clockwise

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Solution
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In Searle's experiment, stress is force per unit area (σ = F/A) and strain is extension per unit length (ε = ΔL/L). For a constant force F and length L, stress depends on cross-sectional area A = πr². A larger radius wire has larger A, so stress σ decreases for the same force.

The stress-strain graph is a straight line with slope = Young's modulus (Y = σ/ε). Since Y is a material constant, the slope remains unchanged. However, for the same strain, lower stress means the line rotates clockwise about the origin.

Final answer: line will rotate clockwise