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⚛️ Physics  ·  Mechanical Properties of Solids  ·  NEET & JEE

A pressure of 10⁷ Pa is applied to a material of bulk modulus 2×10⁹ Pa. The fractional change in its volume is:

Answer: 5×10⁻³.

  • A 2×10⁻³
  • B 5×10⁻³
  • C 5×10⁻²
  • D 2×10⁻²

Correct answer: B. 5×10⁻³

Explanation: ΔV/V = P/B = 10⁷/(2×10⁹) = 5×10⁻³.

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 →