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⚛️ Physics  ·  Mechanical Properties of Solids  ·  NEET & JEE

A solid sphere of volume V is submerged in a fluid such that pressure increases by ΔP, causing a volume decrease ΔV. If bulk modulus is B, which expression is correct?

Answer: ΔV = -V·ΔP/B.

  • A ΔV = BV/ΔP
  • B ΔV = -V·ΔP/B
  • C ΔV = V·B/ΔP
  • D ΔV = -B/(VΔP)

Correct answer: B. ΔV = -V·ΔP/B

Explanation: B = -ΔP/(ΔV/V), rearranging gives ΔV = -V·ΔP/B (volume decreases as pressure increases).

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 →