Course Syllabus

Unit I: Physical World and Measurement

Chapter 1: Physical World

• Physics - scope and excitement
• Nature of physical laws
• Physics, technology and society

Chapter 2: Units and Measurements

• Need for measurement
• Units of measurement
• Systems of units −
  • SI units
  • 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

Unit II: Kinematics

Chapter 3: Motion in a Straight Line

• Frame of reference

• Motion in a straight line

• Position-time graph

• Speed and velocity

• Elementary concepts of differentiation and integration for describing motion

• Uniform and non-uniform motion

• Average speed and instantaneous velocity

• Uniformly accelerated motion

• Velocity time

• Position-time graphs

• Relations for uniformly accelerated motion (graphical treatment)

Chapter 4: Motion in a Plane

• Scalar and vector quantities
• Position and displacement vectors
• general vectors and their notations
• equality of vectors, 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

Unit III: Laws of Motion

Chapter 5: Laws of Motion

• Intuitive 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 (vehicle on a level circular road, vehicle on banked road)

Unit IV: Work, Energy and Power

Chapter–6: Work, Energy and Power

• Work done by a constant force and a variable force
• Kinetic energy
• Work-energy theorem
• Power
• Notion of potential energy
• 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

Unit V: Motion of System of Particles and Rigid Body

Chapter 7: 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 (no derivation)

• Statement of parallel and perpendicular axes theorems and their applications

Unit VI: Gravitation

Chapter 8: Gravitation

• 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

Unit VII: Properties of Bulk Matter

Chapter–9: Mechanical Properties of Solids

• Elastic behavior
• Stress-strain relationship
• Hooke's law
• Young's modulus
• Bulk modulus
• Shear modulus of rigidity
• Poisson's ratio
• Elastic energy

Chapter–10: Mechanical Properties of Fluids

Pressure due to a fluid column

• Pascal's law and its applications (hydraulic lift and hydraulic brakes)
• Effect of gravity on fluid pressure
• Viscosity
• Stokes' law
• terminal velocity
• streamline and turbulent flow
• critical velocity
• Bernoulli's theorem and its applications
• Surface energy and surface tension
• angle of contact
• excess of pressure across a curved surface
• application of surface tension ideas to drops
• bubbles and capillary rise

Chapter–11: Thermal Properties of Matter

• Heat, temperature, thermal expansion
• Thermal expansion of −
  • Solids
  • Liquids
  • Gases
• Anomalous expansion of water
• Specific heat capacity
• Cp, Cv – calorimetry
• Change of state
• Latent heat capacity
• Heat transfer −
  • Conduction
  • Convection
  • radiation
• Thermal conductivity
• Qualitative ideas of Blackbody radiation
• Wein's displacement Law
• Stefan's law
• Greenhouse effect

Unit VIII: Thermodynamics

Chapter 12: Thermodynamics

• Thermal equilibrium and definition of temperature
  • Zeroth law of thermodynamics
• 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

Unit IX: Behaviour of Perfect Gases and Kinetic Theory of Gases

Chapter–13: Kinetic Theory

• Equation of state of a perfect gas

• Work done in compressing a gas

• 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

Unit X: Oscillations and Waves

Chapter 14: 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

• Simple pendulum derivation of expression for its time period

• Free, forced and damped oscillations (qualitative ideas only), resonance

Chapter–15: 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