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Physics
General
Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments:
Experiments based on using Vernier calipers and screw gauge, Determination of g using simple pendulum, Young's modulus, Specific heat of a liquid using calorimeter, focal length
Speed of sound using resonance column, Verification of Ohm's law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.
Mechanics
Kinematics in one and two dimensions, projectiles; Uniform Circular motion; Relative velocity.
Newton's laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.
Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.
Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.
Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum;
Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies. Linear and angular simple harmonic motions.
Hooke's law, Young's modulus. Pressure in a fluid; Pascal's law; Buoyancy; Surface energy and surface tension, capillary rise;
Viscosity, Stokes' law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli's theorem and its applications.Wave motion, longitudinal and transverse waves, superposition of waves;
Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect.
Electricity and magnetism
Coulomb's law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines
Flux of electric field; Gauss's law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.
Electric current; Ohm's law; Series and parallel arrangements of resistances and cells; Kirchhoff's laws and simple applications; Heating effect of current.
Biot-Savart's law and Ampere's law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field.
Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions.
Optics
Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection
Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.
Wave nature of light: Huygen's principle, interference limited to Young's double-slit experiment.
Modern physics
Atomic nucleus; Alpha, beta and gamma radiations; Law of radioactive decay; Decay constant;
Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.
Photoelectric effect; Bohr's theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley's law; de Broglie wavelength of matter waves.
Chemistry
General topics
Gaseous and liquid states
Absolute scale of temperature, ideal gas equation; Deviation from ideality, van der Waals equation
Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature
Law of partial pressures; Vapour pressure; Diffusion of gases
Atomic structure and chemical bonding
Bohr model, spectrum of hydrogen atom, quantum numbers; Wave-particle duality, de Broglie hypothesis
Hydrogen bond; Polarity in molecules, dipole moment ; VSEPR model and shapes of molecules
Energetics
Chemical equilibrium
Electrochemistry
Solid state
Solutions
Surface chemistry
Nuclear chemistry
Isolation/preparation and properties of the following non-metals:
Preparation and properties of the following compounds
Transition elements (3d series)
Extractive metallurgy
Principles of qualitative analysis
Preparation, properties and reactions of alkenes and alkynes
Reactions of benzene
Phenols
Properties and uses of some important polymers
Practical organic chemistry
Maths
Algebra
Trigonometry
Analytical geometry Two dimensions
Analytical geometry Three dimensions
Differential calculus
Integral calculus
Vectors
Maths Doubts and Replies
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how to do such type of questions
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how to do such type of questions
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how to do such type of questions
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how to do such type of questions
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how to do such type of questions
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how to do such type of questions
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how to do such type of questions
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