I. UNITS & DIMENSIONS - MEASUREMENT OF PHYSICAL QUANTITIES:
Fundamental units in the CGS & SI systems - Definitions of SI Units - Supplementary and derived units - Dimensions of Physical quantities - Application of Dimensional Analysis - uses - examples - Limitations of dimensional analysis. Errors in measurements - variation and average values - Number of observations - Ideas of standard deviation and mean deviation- Systematic and random errors - Significant figures and rounding off - Evaluation of percentage of errors.
II. ELEMENTS OF VECTORS:
Addition and substraction of Vectors - Laws of addition of vectors - Equal and null vectors - Unit vectors - Unit vectors in Cartesian co-ordinate system - Position vector and its magnitude - Parallelogram law of vectors - Expression for the resultant vector. Triangle law and polygon law of vectors - Application to relative motion of a boat in a river - Multiplication of a vector with scalar. Scalar product with Examples of work and energy. Vector product with examples of torque and angular momentum. Vector and Scalar products of unit vectors.
III. KINEMATICS - DYNAMICS:
Equations of motion in a straight line under uniform acceleration - Equation of motion of freely falling body, vertically projected body from ground and from a height - Two dimensional motion - Projectiles with examples - Path of a projectile - maximum height, time of flight and range. Newton's Laws of motion - Concepts of inertia, momentum force, impulse and types of forces - Collision of two bodies in one dimension - one body at rest - two bodies moving in the same and opposite directions - Elastic and inelastic collisions - Coefficient of restitution.
IV. WORK, POWER AND ENERGY:
Definition and units - Expressions for P.E. & K.E. - Work-energy theorem - Law of conservation of energy.
V. CENTRE OF MASS:
Definition - Co-ordinates of center of mass - Velocity, Acceleration - Characteristics of center of mass - Examples in the case of two dimensional motions - Laws of motion of center of mass - Explosion.
VI. FRICTION:
Causes of friction - Static, Kinetic and rolling friction - laws of friction - expressions for acceleration of a body on smooth and rough inclined planes (without rolling).
VII. ROTATORY MOTION:
Rotatory motion - Relationships between quantities in rotatory and linear motions - Centripetal and centrifugal forces - Concepts of torque and couple - Relation between angular momentum and torque - Moment of inertia - Rotational kinetic energy - Parallel and perpendicular axes theorems - Expressions for the Moment of inertia of a thin rod, sphere, circular ring, uniform disc., cylinder and rectangular lamina - Conservation of angular momentum with examples - Motion in a vertical circle.
VIII. GRAVITATION:
Kepler's laws of planetary motion - Newton's universal law of gravitation - Expression for the relation between g & G - Variation of 'g' with height, depth, latitude and local conditions. Inertial and gravitational masses - Escape velocity and orbital velocity - geo-statonary satellites and their uses.
IX. SIMPLE HARMONIC MOTION:
Definitions and examples - Expressions for displacement, velocity, acceleration, time period and frequency - Expressions for the period of a simple pendulum and loaded spring - Force constant - Expressions for the KE & PE of a body in SHM.
X. ELASTICITY:
Elasticity & plasticity - Stress - Strain, Hookes law - Modulii of elasticity (Y,n,K) - Poisson's ratio (s) - Relation between Y,n,K and s - Behaviour of wire under gradually increasing load - elastic fatigue - expression for strain energy - experimental determination of Y by Searle's apparatus.
XI. SURFACE TENSION:
Surface tension - Definition and examples - Molecular Phenomenon - Angle of contact - Capillarity with examples in nature - Experimental determination of Surface Tension by capillary rise method with necessary theory - variation of Surface Tension with temperature - Expressions for excess pressure inside a drop and a bubble.
XII. HYDRODYNAMICS:
Principle of Buoyancy - Pressure in a fluid - Bernoulli's theorem - Aerodynamic lift and motion of spinning ball.
XIII. VISCOSITY:
Stream line flow - Explanation of viscosity - Poiseuille's equation - determination of co-efficient of Viscosity - Variation with temperature.
XIV. EXPANSION OF SOLIDS - LIQUIDS - GASES:
Three coefficients of expansion of solids their inter relationship - Determination of coefficient of linear expansion by mechanical lever method - Application to Bimetallic thermostat. Coefficients of real and apparent expansion of liquids and the relation between them - Variation of density with temperature - Anomalous expansion of water and its effects - Experimental determination of real and apparent coefficients by Regnault's method and specific gravity bottle. Volume and pressure coefficients of expansion of gases - Experimental determination of volume and pressure coefficients by Regnault's & Jolly's bulb apparatus - Absolute zero - Kelvin's scale of temperature - Boyle's law and Charle's law - Ideal gas equation.
XV. THERMODYNAMICS:
Definition of calorie, thermal capacity, specific heat and latent heats - Law of mixtures - Problems relating to specific heats and latent heats and law of mixtures - Joule's law and Mechanical equivalent of Heat (J). Three phases of matter and Triple point of water - Definition of specific heats of gases Cp & Cv - Isothermal and Adiabatic processes - Relationships between P,V & T - External work done by an ideal gas during expansion - Internal energy - Statements and explanation of Zeroeth law, First and Second laws of thermodynamics - Relation Cp-Cv = R.
XVI. THERMAL RADIATION:
Nature and properties of thermal Radiation - Prevost's theory of heat exchanges - Emissive and absorptive powers - Black body radiation - Kirchoff's law and its application - Newton's law of cooling - Laws of Black body radiation - Stefan's law, Weien's displacement law and Planck's formula (qualitative treatment only)