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