Weekly outline

  • General

  • Physical World and Measurement

    Topics covered are :

    1. Physical World - Laws of Physics

    2. Units and Measurement -

    Need for measurement: Units of measurement; fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures.

    Dimensions of physical quantities, dimensional analysis and its applications.
  • Kinematics

    Topics covered are :

    1. Motion in a Straight Line

    Frame of reference, Motion in a straight line: Position-time graph, speed and velocity.

    Uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity time and position-time graphs.

    2. Motion in a Plane

    Scalar and vector quantities; Position and displacement vectors, Vectors and their notations; multiplication of vectors by a real number; addition and subtraction of vectors. Relative velocity. Unit vector; Resolution of a vector in a plane - rectangular components. Scalar and Vector product of vectors.

    Motion in a plane, cases of uniform velocity and uniform acceleration-projectile motion. Uniform circular motion.

  • Laws of Motion

    Laws of Motion

    Concept of force. Inertia, Newton's first law of motion; momentum and Newton's second law of motion; impulse; Newton's third law of motion.

    Law of conservation of linear momentum and its applications.

    Equilibrium of concurrent forces. Static and kinetic friction, laws of friction, rolling friction, lubrication.

    Dynamics of uniform circular motion: Centripetal force, examples of circular motion

  • Work, Energy and Power

    Work, Energy and Power

    Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power.

    Potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies); non-conservative forces: motion in a vertical circle; elastic and inelastic collisions in one and two dimensions.

  • Motion of System of Particles and Rigid Body

    System of Particles and Rotational Motion

    Centre of mass of a two-particle system, momentum conservation and centre of mass motion. 

    Centre of mass of a rigid body; centre of mass of a uniform rod.

    Moment of a force, torque, angular momentum, laws of conservation of angular momentum and its applications.

    Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions.

    Moment of inertia, radius of gyration.Values of moments of inertia for simple geometrical objects. Statement of parallel and perpendicular axes theorems and their applications.

  • Gravitation

    Topics covered are :

    Keplar's laws of planetary motion.The universal law of gravitation.

    Acceleration due to gravity and its variation with altitude and depth.

    Gravitational potential energy and gravitational potential. Escape velocity. Orbital velocity of a satellite. Geo-stationary satellites.

  • Properties of Bulk Matter

    Topics covered are :

    1. Mechanical Properties of Solids : Elastic behaviour, Stress-strain relationship, Hooke's law, Young's modulus, bulk modulus, shear modulus of rigidity, Poisson's ratio;

    2. Mechanical Properties of Fluids : Pascal's law and its applications (hydraulic lift and hydraulic
    brakes). Effect of gravity on fluid pressure. Viscosity,  streamline and turbulent flow, critical velocity. Bernoulli's theorem and its applications.
    Surface energy and surface tension

    3. Thermal Properties of Matter : Heat, temperature, Thermal expansion; thermal expansion of solids, liquids and gases, anomalous expansion of water; specific heat capacity; Heat transfer-conduction, convection and radiation, thermal conductivity, Newton's law of cooling,

  • Thermodynamics

    Thermal equilibrium and definition of temperature. Heat, work and internal energy. First law of thermodynamics. Isothermal and adiabatic processes. Second law of thermodynamics: reversible and irreversible processes. Heat engine and refrigerator.

  • Behaviour of Perfect gases and Kinetic theory of gases

    1. Behaviour of Gases - Equation of state of a perfect gas, work done in compressing a gas.

    2. Kinetic theory of gases - assumptions, concept of pressure. Kinetic interpretation of temperature; rms speed of gas molecules; degrees of freedom, law of equi-partition of energy (statement only) and application to specific heat capacities of gases; concept of mean free path, Avogadro's number.

  • Oscillations and Waves

    1. Oscillations

    Periodic motion - time period, frequency, displacement as a function of time. Periodic functions.

    Simple harmonic motion (S.H.M) and its equation; phase; oscillations of a spring-restoring force and force constant; energy in S.H.M. Kinetic and potential energies; Time period of simple pendulum.

    Free, forced and damped oscillations, resonance.

    2. Waves

    Wave motion. Transverse and longitudinal waves, speed of wave motion. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.