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BITSAT Syllabus

BITSAT Syllabus

The BITSAT test will be conducted on the basis of NCERT syllabus for 11th and 12th class. The detailed syllabus is given in the Annexure. Candidates may refer to the NCERT textbooks for the contents.

Physics

 1. Units & Measurement 1.1 Units (Different systems of units, SI units, fundamental and derived units) 1.2 Dimensional Analysis 1.3 Precision and significant figures 1.4 Fundamental measurements in Physics (Vernier calipers, screw gauge, Physical balance etc) 2. Kinematics 2.1 Properties of vectors 2.2 Position, velocity and acceleration vectors 2.3 Motion with constant acceleration 2.4 Projectile motion 2.5 Uniform circular motion 2.6 Relative motion 3. Newton’s Laws of Motion 3.1 Newton’s laws (free body diagram, resolution of forces) 3.2 Motion on an inclined plane 3.3 Motion of blocks with pulley systems 3.4 Circular motion – centripetal force 3.5 Inertial and non-inertial frames 4. Impulse and Momentum 4.1 Definition of impulse and momentum 4.2 Conservation of momentum 4.3 Collisions 4.4 Momentum of a system of particles 4.5 Center of mass 5. Work and Energy 5.1 Work done by a force 5.2 Kinetic energy and work-energy theorem 5.3 Power 5.4 Conservative forces and potential energy 5.5 Conservation of mechanical energy 6. Rotational Motion 6.1 Description of rotation (angular displacement, angular velocity and angular acceleration) 6.2 Rotational motion with constant angular acceleration 6.3 Moment of inertia, Parallel and perpendicular axes theorems, rotational kinetic energy 6.4 Torque and angular momentum 6.5 Conservation of angular momentum 6.6 Rolling motion 7. Gravitation 7.1 Newton’s law of gravitation 7.2 Gravitational potential energy, Escape velocity 7.3 Motion of planets – Kepler’s laws, satellite motion 8. Mechanics of Solids and Fluids 8.1 Elasticity 8.2 Pressure, density and Archimedes’ principle 8.3 Viscosity and Surface Tension 8.4 Bernoulli’s theorem 9. Oscillations 9.1 Kinematics of simple harmonic motion 9.2 Spring mass system, simple and compound pendulum 9.3 Forced & damped oscillations, resonance 10. Waves 10.1 Progressive sinusoidal waves 10.2 Standing waves in strings and pipes 10.3 Superposition of waves, beats 10.4 Doppler Effect 11. Heat and Thermodynamics 11.1 Kinetic theory of gases 11.2 Thermal equilibrium and temperature 11.3 Specific heat, Heat Transfer – Conduction, convection and radiation,  thermal conductivity, Newton’s law of cooling 11.4 Work, heat and first law of thermodynamics 11.5 2nd law of thermodynamics, Carnot engine – Efficiency and Coefficient of performance 12. Electrostatics 12.1 Coulomb’s law 12.2 Electric field  (discrete and continuous charge distributions) 12.3 Electrostatic potential and Electrostatic potential energy 12.4 Gauss’ law and its applications 12.5 Electric dipole 12.6 Capacitance and dielectrics (parallel plate capacitor, capacitors in series and parallel) 13. Current Electricity 13.1 Ohm’s law, Joule heating 13.2 D.C circuits – Resistors and cells in series and parallel, Kirchoff’s laws,  potentiometer and Wheatstone bridge, 13.3 Electrical Resistance (Resistivity, origin and temperature dependence of resistivity). 14. Magnetic Effect of Current 14.1 Biot-Savart’s law and its applications 14.2 Ampere’s law and its applications 14.3 Lorentz force, force on current carrying conductors in a magnetic field 14.4 Magnetic moment of a current loop, torque on a current loop, Galvanometer and its conversion to voltmeter and ammeter 15. Electromagnetic Induction 15.1 Faraday’s law, Lenz’s law, eddy currents 15.2 Self and mutual inductance 15.3 Transformers and generators 15.4 Alternating current (peak and rms value) 15.5 AC circuits, LCR circuits 16. Optics 16.1 Laws of reflection and refraction 16.2 Lenses and mirrors 16.3 Optical instruments – telescope and microscope 16.4 Interference – Huygen’s principle, Young’s double slit experiment 16.5 Interference in thin films 16.6 Diffraction due to a single slit 16.7 Electromagnetic waves and their characteristics (only qualitative ideas), Electromagnetic spectrum 16.8 Polarization – states of polarization, Malus’ law, Brewster’s law 17. Modern Physics 17.1 Dual nature of light and matter – Photoelectric effect, De Broglie wavelength 17.2 Atomic models – Rutherford’s experiment, Bohr’s atomic model 17.3 Hydrogen atom spectrum 17.4 Radioactivity 17.5 Nuclear reactions : Fission and fusion, binding energy

Mathematics

 1.  Algebra 1.1 Complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, roots of complex numbers, geometric interpretations; Fundamental theorem of algebra. 1.2 Theory of Quadratic equations, quadratic equations in real and complex number system and their solutions, relation between roots and coefficients, nature of roots, equations reducible to quadratic equations. 1.3 Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, arithmetico-geometric series,  sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers. 1.4 Logarithms and their properties. 1.5 Exponential series. 1.6 Permutations and combinations, Permutations as an arrangement and combination as selection, simple applications. 1.7 Binomial theorem for a positive integral index, properties of binomial coefficients. 1.8 Matrices and determinants of order two or three, properties and evaluation of determinants, addition and multiplication of matrices, adjoint and inverse of matrices, Solutions of simultaneous linear equations in two or three variables, elementary row and column operations of matrices, 1.9 Sets, Relations and Functions, algebra of sets applications, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings, binary operation, inverse of function, functions of real variables like polynomial, modulus, signum and greatest integer. 1.10 Mathematical Induction 1.11 Linear Inequalities, solution of linear inequalities in one and two variables. 2.   Trigonometry 2.1 Measurement of angles in radians and degrees, positive and negative angles, trigonometric ratios, functions and identities. 2.2 Solution of trigonometric equations. 2.3 Properties of triangles and solutions of triangles 2.4 Inverse trigonometric functions 2.5 Heights and distances 3.   Two-dimensional Coordinate Geometry 3.1 Cartesian coordinates, distance between two points, section formulae, shift of origin. 3.2 Straight lines and pair of straight lines: Equation of straight lines in various forms, angle between two lines, distance of a point from a line, lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrent lines. 3.3 Circles and family of circles :  Equation of circle in various form, equation of tangent, normal  & chords, parametric equations of a circle , intersection of a circle with a straight line or a circle, equation of circle through point of intersection of two circles, conditions for two intersecting circles to be orthogonal. 3.4 Conic sections : parabola, ellipse and hyperbola   their eccentricity, directrices & foci,  parametric forms, equations of tangent & normal, conditions for y=mx+c to be a tangent  and point of tangency. 4.   Three dimensional Coordinate Geometry 4.1 Co-ordinate axes and co-ordinate planes, distance between two points, section formula, direction cosines and direction ratios, equation of a straight line in space and skew lines. 4.2 Angle between two lines whose direction ratios are given, shortest distance between two lines. 4.3 Equation of a plane, distance of a point from a plane, condition for coplanarity of three lines, angles between two planes, angle between a line and a plane. 5.   Differential calculus 5.1 Domain and range of a real valued function, Limits and Continuity  of the sum, difference, product and quotient of two functions, Differentiability. 5.2 Derivative of different types of functions (polynomial, rational, trigonometric, inverse trigonometric, exponential, logarithmic, implicit functions), derivative of the sum, difference, product and quotient of two functions, chain rule. 5.3 Geometric interpretation of derivative, Tangents and Normals. 5.4 Increasing and decreasing functions, Maxima and minima of a function. 5.5 Rolle’s Theorem, Mean Value Theorem and Intermediate Value Theorem. 6.   Integral calculus 6.1 Integration as the inverse process of differentiation, indefinite integrals of standard functions. 6.2 Methods of integration: Integration by substitution, Integration by parts, integration by partial fractions, and integration by trigonometric identities. 6.3 Definite integrals and their properties, Fundamental Theorem of Integral Calculus,  applications in finding areas under simple curves. 6.4 Application of definite integrals to the determination of areas of regions bounded by simple curves. 7.  Ordinary Differential Equations 7.1 Order and degree of a differential equation, formulation of a differential equation whole general solution is given, variables separable method. 7.2 Solution of homogeneous differential equations of first order and first degree 7.3 Linear first order differential equations 8.   Probability 8.1 Various terminology in probability, axiomatic and other approaches of probability, addition and multiplication rules of probability, addition and multiplication rules of probability. 8.2 Conditional probability, total probability and Baye’s theorem 8.3 Independent events 8.4 Discrete random variables and distributions with mean and variance. 9.   Vectors 9.1 Direction ratio/cosines of vectors, addition of vectors, scalar multiplication, position vector of a point dividing a line segment in a given ratio. 9.2 Dot and cross products of two vectors, projection of a vector on a line. 9.3 Scalar triple products and their geometrical interpretations. 10. Statistics 10.1 Measures of dispersion 10.2 Measures of skewness and Central Tendency 11.Linear Programming 11.1 Various terminology and formulation of linear Programming 11.2 Solution of linear Programming using graphical method.

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