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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.
Practice Questions
Practice 20 randomly selected NEET questions on Properties of Matter. Answers are revealed after each question.
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