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⚛️ Physics  ·  Mechanical Properties of Solids  ·  NEET & JEE

A wire of given material and radius can support a maximum load W before breaking. A wire of the same material and radius but twice the length can support a maximum load of:

Answer: W.

  • A W
  • B W/2
  • C 2W
  • D 4W

Correct answer: A. W

Explanation: Breaking stress is a material property; breaking load = breaking stress × area, which is independent of length. So it is still W.

Stress-Strain Curve for a Ductile Metal WireStrainStresselastic limityield pointUTS (max stress)fractureSlope of the straight (elastic) portion = Young's modulus Y; the curve beyond elastic limit shows permanent (plastic) deformation

A typical stress-strain curve: the initial straight line (Hooke's Law region, slope = Young's modulus) ends at the elastic limit; beyond the yield point, deformation becomes permanent, peaking at the ultimate tensile strength before the wire finally fractures.

Concept context

Stress, strain, Hookes law, and the elastic moduli that describe how solids deform and recover under load.

Read the full Mechanical Properties of Solids notes →