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⚛️ Physics  ·  Mechanical Properties of Solids  ·  NEET & JEE

A spherical ball of volume V made of a material with bulk modulus B is dropped into a lake to depth h. The fractional decrease in volume (ΔV/V) at that depth (ignoring atmospheric pressure) is approximately:

Answer: ρ_water·g·h/B.

  • A ρ_water·g·h/B
  • B B/(ρ_water·g·h)
  • C ρ_water·g·h × B
  • D h/B

Correct answer: A. ρ_water·g·h/B

Explanation: Pressure increase at depth h is ΔP = ρgh. Using B = ΔP/(ΔV/V), fractional volume decrease ΔV/V = ΔP/B = ρgh/B.

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 →