Sunday, January 5, 2025
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Mechanics
1. Units and Measurements
: The international system of units, Measurement of Length, mass
and time, Accuracy, precision of instruments and errors in measurement,
Significant figures, Dimension of physical quantities, Dimensional formulae
and equations, Dimensional analysis and its applications.
2. Motion in a straight
line : Position, path length and displacement, Average velocity
and speed, Instantaneous velocity and speed, Acceleration, Kinematic equations
for uniformly accelerated motion, Relative velocity
3. Motion in a plane
: Scalars and Vectors, Multiplication of vectors by real numbers,
Addition and Subtraction of vectors- graphical method, Resolution of vectors,
Vector addition – analytical method, Motion in a plane, Motion in
a plane with constant acceleration, Relative velocity in two dimensions,
projectile motion, Uniform circular motion.
4. Laws of motion
: The law of inertia, Newton’s first, second and third
law of motion, Conservation of momentum, Equilibrium of particle, Common
forces in mechanics, Circular motion
5. Work, Power and
Energy : The work energy theorem, Kinetic and Potential energy,
Work-Energy theorem for variable force, The conservation of mechanical
energy, Power, The potential energy of a spring, Collisions
6. System of particles
and rotational motion : Centre of mass, Motion of centre of mass,
Linear momentum of a system of particles, vector product of two vectors,
Angular velocity and linear velocity relations, Torque and angular momentum,
Equilibrium of a rigid body, Moment of Inertia, Theorem of perpendicular
and parallel axes, Kinematics and Dynamics of rotational motion about
a fixed axis, Angular momentum in case of rotation about a fixed axis,
Rolling motion
7. Gravitation :
Kepler’s laws, Universal law of gravitation, gravitation
constant, Acceleration due to gravity of the earth, Acceleration due to
gravity below and above the surface of earth, Gravitational potential
energy
Electromagnetism
Optics and Waves
Properties of Matter, Thermodynamics
1. Mechanical properties
of solids : Elastic behavior of solids, Stress and strain, Hooke’s
law, Applications of elastic behavior of materials
2. Mechanical properties
of fluids : Pressure, Streamline flow, Bernoulli’s principle,
Viscosity, Reynold’s number, Surface tension
3. Thermal properties
of matter : Temperature and heat, Measurement of Temperature,
Ideal-gas equation and absolute temperature, Thermal expansion, Specific
heat capacity, Calorimetry, Change of state, Heat Transfer, Newton’s
law of cooling
4. Thermodynamics
: Thermal equilibrium, Zeroth law of thermodynamics, Heat, Internal
energy and work, First law of thermodynamics, Specific heat capacity,
Thermodynamic state variables and equation of state, Thermodynamic processes,
Heat engines, Refrigerators and heat pumps, Second law of thermodynamics,
Reversible and irreversible processes, Carnot engine
5. Kinetic theory
: Molecular nature of matter, Behavior of gases, Kinetic theory
of an ideal gas, Law of equipartition of energy, Mean free path
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