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Understanding Mechanical Properties of Fluids

Jan 4, 2025

Class 11 Physics: Mechanical Properties of Fluids

Section A - 1 Mark Questions

  1. Streamline Shape of Cars and Aeroplanes

    • Purpose: Minimize backward drag of atmosphere.
  2. Sharp vs. Blunt Knife

    • Sharp edge has less area, resulting in higher pressure and easier cutting.
  3. Streamlines Intersection

    • Impossible due to conflicting flow directions.
  4. Insects on Water Surface

    • Surface tension acts like an elastic membrane supporting insects.
  5. Pressure Calculation Example

    • Formula: Pressure = Force / Area
    • Example: 100 N force on 4 m² = 25 Pa
  6. Straw Functionality

    • Low pressure in straw allows atmospheric pressure to push liquid up.
  7. Atmospheric Pressure

    • Defined by air exertion due to gravity on Earth's surface.
  8. Buoyant Force

    • Object floats if buoyant force ≥ weight; sinks if less.
  9. Viscosity in Lubricants

    • High viscosity prevents lubricant from being squeezed out.
  10. Temperature Effect on Liquids

    • Hotter liquids have lower viscosity, moving faster.

Section B - 2 Marks Questions

  1. Walking on Soft Sand

    • Flat shoes distribute weight, reducing pressure and sinking.
  2. Pressure in Vessels

    • Order: D > B > A > C based on water column height.
  3. Pressure Definition

    • Pressure = Force/Area (Unit: Pascal)
    • Depends on force and contact area.
  4. Pressure on Femur

    • Example calculation using mass and cross-sectional area.
  5. Hydraulic Lift Maximum Pressure

    • Calculation for lifting 3000 kg using piston area.
  6. Force to Pull Glass Plates

    • Example with oil viscosity and speed to determine force.

Detailed Concepts

Fluid Mechanics

  • Fluids: Substances like liquids and gases that flow.
  • Assumptions: Incompressible and non-viscous.

Fluid Statics

  • Fluid Pressure

    • Normal force per unit area.
    • SI Unit: Pascal.
  • Pressure Relations

    • Horizontal pressure consistency.
    • Vertical and acceleration effects on pressure.
  • Atmospheric Pressure: Normal value at sea level is 1 atm.

  • Pascal's Law: Pressure applied to a fluid is transmitted equally.

  • Archimedes Principle: Buoyant force equals the weight of displaced fluid.

Fluid Dynamics

  • Steady Flow: Velocity consistency in fluid particles.
  • Equation of Continuity: Mass flow rate consistency in incompressible fluids.
  • Bernoulli's Theorem: Energy conservation in fluid flow.

Viscosity

  • Definition: Resistance to relative motion between fluid layers.
  • Stokes Law: Viscous drag on spherical bodies.
  • Terminal Velocity: Maximum velocity in viscous medium.
  • Poiseuille’s Formula: Flow rate in capillaries.

Surface Tension

  • Surface Energy and Pressure: Energy per unit area and pressure differences.
  • Capillary Action: Rise/fall in narrow tubes due to adhesion and cohesion.

Additional Concepts

  • Law of Floatation: Conditions for floating/sinking based on weight and buoyant force.
  • Density and Mixture Calculations: Understanding density relations in mixtures.

Example Problems

  • Pressure Calculation in Vessels: Combines density and liquid height to find pressure.