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Properties of Matter

Elasticity, viscosity, surface tension, fluid pressure

Key Concepts

  • Young's modulus (Y): resistance to longitudinal strain
  • Bulk modulus (B): resistance to volume change
  • Modulus of rigidity (η): resistance to shear strain
  • Surface tension: tendency of liquid surface to contract
  • Bernoulli's principle: pressure + KE/vol + PE/vol = constant

Important Formulae

Young's modulus Y = (F/A) / (ΔL/L)
Hydrostatic pressure P = hρg
Bernoulli's equation P + ½ρv² + ρgh = constant
Stokes' law (viscous drag) F = 6πηrv
Terminal velocity v_t = 2r²(ρ − σ)g / 9η
Excess pressure in bubble ΔP = 4T/r (soap bubble), 2T/r (liquid drop)

Quick Tips

  • Continuity equation: A₁v₁ = A₂v₂ (incompressible fluid).
  • Capillary rise h = 2T cosθ / (rρg); rises in narrow tubes, falls for mercury.
  • Poisson's ratio σ = lateral strain / longitudinal strain; always between 0 and 0.5.

Sample Practice Questions

  1. Stoke's law: viscous force on a sphere = :

    • 4πηrv
    • 6πηrv
    • πηr²v
    • 6πηr²v
    Show answer

    Answer: 6πηrv

  2. Bulk modulus of an incompressible fluid:

    • Zero
    • Unity
    • Infinity
    • Equal to Young's modulus
    Show answer

    Answer: Infinity

  3. Surface tension of a liquid is defined as force per unit:

    • Area
    • Length
    • Volume
    • Mass
    Show answer

    Answer: Length

  4. The angle of contact for mercury with glass is:

    • Zero
    • Less than 90°
    • Exactly 90°
    • Greater than 90°
    Show answer

    Answer: Greater than 90°

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Practice Questions

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Frequently Asked Questions

What are the key concepts in Properties of Matter for NEET?

Young's modulus (Y): resistance to longitudinal strain; Bulk modulus (B): resistance to volume change; Modulus of rigidity (η): resistance to shear strain; Surface tension: tendency of liquid surface to contract; Bernoulli's principle: pressure + KE/vol + PE/vol = constant.

Which formulae are important for Properties of Matter in NEET?

Young's modulus: Y = (F/A) / (ΔL/L); Hydrostatic pressure: P = hρg; Bernoulli's equation: P + ½ρv² + ρgh = constant; Stokes' law (viscous drag): F = 6πηrv; Terminal velocity: v_t = 2r²(ρ − σ)g / 9η; Excess pressure in bubble: ΔP = 4T/r (soap bubble), 2T/r (liquid drop).

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