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West Bengal JEE Syllabus for Physics

December 3rd, 2009

West Bengal JEE Syllabus for Physics

WEST BENGAL JOINT ENTRANCE EXAMINATIONS BOARD

SYLLABUS FOR JEM – 2009

PHYSICS

Mechanics & General properties of matter

(i) Units and dimensions : Units of measurement, system of units, fundamental and derived units, S I

units, dimensional analysis.

Methods of measurement: Vernier scale, screw gauge, analysis of errors, significant figures.

(ii) Scalars and vectors: Addition, subtraction, multiplication of vectors.

(iii) Kinematics in one, two and three dimensions, projectiles, uniform circular motion,centripetal

force, centrifigual force, relative velocity.

(iv) Dynamics: Newton’s laws of motion; inertial frames, uniformly accelerated frame (pseudoforces),

conservation of linear momentum, rocket motion, centre of mass, impulsive forces, friction.

(v) Work, Power and Energy , conservative and non-conservative forces, conservation of energy,

collision(elastic and inelastic)

(vi) .Rotational motion : Torque, angular momentum and conservation of angular momentum,

moment of inertia, radius of gyration, moment of inertia of objects with simple geometrical shapes,

rotational kinetic energy and rolling on horizontal surface.

Gravitation: Laws of gravitation, gravitational field and potential, acceleration due to gravity and

its variation, escape velocity, Kepler’s laws and planetary motion, motion of satellites,

Geostationary orbit.

Elasticity: Hooke’s law, elastic modulii, Poisson’s ratio, elastic energy.

Hydrostatics and fluid mechanics: Pressure in a fluid, Pascal’s law, Archimedes’ principle,

hydraulic press.

Surface energy and surface tension, capillary rise.

Viscosity, streamline and turbulent motion, critical velocity, Reynold’s number, Stoke’s law,

Bernoulli’s theorem.

Vibrations: Simple Harmonic Motion, equation of motion, damped and forced vibrations,

resonance, superposition of SHM.

Wave motion: Elastic waves, longitudinal and transverse waves. progressive waves, superposition

of waves: interference, stationary waves, beats, vibration of strings, air columns, velocity of elastic

waves in different media, Doppler effect.

Thermal Physics: Scales of temperature, thermal expansion of solids, liquids and gases,

calorimetry, change of state of matter, latent heat, transition temperature, Transmission of heat:

conduction, convection, radiation, Black body radiation, absorptive and emissive powers: Kirchoffs

law, Wien’s law, Stefan’s law, Newton’s law of cooling, Kinetic theory : mean free path, pressure of

an ideal gas, mean and rms velocity of molecules of a gas, kinetic interpretation of temperature,

degrees of freedom, equipartition of energy(statement only) — application to monoatomic and

diatomic gases.

Thermodynamics: first law of thermodynamics, equivalence of heat and work, intensive and

extensive thermodynamic variables, reversible and irreversible processes, specific heats of gases,

relation between Cp and Cv.

Optics : reflection and refraction at plane and spherical surfaces, total internal reflection, thin

lenses, power of a lens, combination of lenses and mirrors, deviation and dispersion by prisms.

Simple and compound microscopes, astronomical telescope, human eye: defects and remedies.

Coherent sources, interference of light, Young’s double slit.

Electrostatics : Coulomb’s law, electric field and potential,flux of electric field, Gauss’ law,

electric field and potential due to an infinite line charge, charged infinite sheet, solid spheres and

spherical shells.Electric dipole and field due to dipole.

Capacitance, spherical and parallel plate capacitors, energy stored in a capacitor, series and parallel

combination of capacitors,

Current electricity : Electric current, drift velocity and mobility, Ohm’s law, resistivity,

combination of resistances in series and parallel, combination of cells.

Kirchoffs laws, Wheatstone bridge, Metre bridge, potentiometer.

Heating effect of current, thermoelectricity, Seebeck and Peltier effect.

Chemical effect of current, Faraday’s law of electrolysis,:primary and secondary cells.

Electromagnatism : Magnetic effects of Current, Biot Savart’s law, magnetic field due to an

infinite line charge, circular coil and solenoid, Ampere’s circuital law, Lorentz force, Fleming’s left

hand rule, force between two current carrying conductors, magnetic moment of a current loop,

magnetic dipole, torque experienced by a current carrying coil in a uniform magnetic field,

galvanometer, current sensitivity, conversion of galvanometer to voltmeter and ammeter.

Magnetic field of earth, tangent galvanometer, magnetic properties of materials : Dia, para and

ferromagnet , permeability, susceptibility.

Electromagnetic induction : Magnetic flux, Faraday’s laws of electromagnetic induction, Lenz’s

law, self and mutual induction, , Flemings right hand rule, Alternating current, peak and rms

value of alternating current; generator, D.C. motor and transformer

Qualitative idea of electromagnetic wave and its spectrum .

Modern Physics: Bohr’s atomic model for hydrogen like atom, hydrogen spectrum,

x-ray emission, Moseley’s law, wave particle duality, de Broglie’s hypothesis, photo electric effect .

Constituents of atoms, isotopes, mass defect, mass-energy equivalence, binding energy.

radioactivity – α, β, γ radiation, half life, mean life, fission, fusion.

Energy bands in solids, intrinsic and doped semiconductors, p-n junction diode, rectifier, pnp and

npn transistors, common emitter characteristics.

Binary number, AND, OR, NOT, NAND and NOR gates .

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West Bengal JEE Syllabus for Mathematics

December 3rd, 2009

West Bengal JEE Syllabus for Mathematics

WEST BENGAL JOINT ENTRANCE EXAMINATIONS BOARD

SYLLABUS FOR JEM – 2009

M A T H E M A T I C S

Algebra

A.P., G.P., H.P. :Definitions of A. P. and G.P.; General term; Summation of first n-terms; A.M.and

G.M.; Definitions of H.P. (only 3 terms) and H.M.; Finite arithmetico-geometric series.

A.P., G.P., H.P. :Definition; General properties; Change of base.

Complex Numbers: Definition and properties of complex numbers; Complex conjugate; Triangle

inequality; Square root of complex numbers; Cube roots of unity; D’Moivre’s theorem (statement only)

and its elementary applications.

Quadratic Equations : Quadratic equations with real coefficients; Relations between roots and

coefficients; Nature of roots; Formation of a quadratic equation, sign and magnitude of the quadratic

expression ax2+bx+c (a,b,c are rational numbers and a≠0).

Permutation and combination : Permutation of n different things taken r at a time (r ≤ n). Permutation of n

things not all different. Permutation with repetitions (circular permutation excluded).

Combinations of n different things taken r at a time (r ≤ n). Combination of n things not all different.

Basic properties.

Problems involving both permutations and combinations.

Principle of Mathematical Induction : Statement of the principle. Proof by induction for the sum of

squares, sum of cubes of first n natural numbers, divisibility properties like 2 2n – 1 is divisible by 3 (n ≥

1), 7 divides 32n+1+2 n+2(n ≥ 1).

Binomial theorem (positive integral index) :Statement of the theorem, general term, middle term,

equidistant terms, properties of binomial co-efficients.

Infinite series :Binomial theorem for negative and fractional index. Infinite G.P. series, Exponential and

Logarithmic series with range of validity (statement only), simple applications.

Matrices : Concepts of m× n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication and

multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of

determinants (statement only). Minor, cofactor and adjoint of a matrix. Nonsingular matrix. Inverse of a

matrix. Finding area of a triangle. Solutions of system of linear equations. (Not more than 3 variables).

Sets, Relations and Mappings : Idea of sets, subsets, power set, complement, union, intersection and

difference of sets, Venn diagram, De Morgan’s Laws, Inclusion / Exclusion formula for two or three

finite sets, Cartesian product of sets.

Relation and its properties. Equivalence relation – definition and elementary examples, mappings, range

and domain, injective, surjective and bijective mappings, composition of mappings, inverse of a

mapping.

Probability : Classical definition, addition rule, conditional probability and Bayes’ theorem,

independence, multiplication rule.

Trigonometry

Trigonometric ratios, compound angles, multiple and submultiple angles, general solution of trigonometric

equations. Properties of triangles, inverse trigonometric functions.

Co-ordinate geometry of two dimensions

Basic Ideas : Distance formula, section formula, area of a triangle, condition of collinearity of three

points in a plane.

Polar coordinates, transformation from Cartesian to polar coordinates and vice versa. Parallel

transformation of axes, concept of locus, elementary locus problems.

Straight line : Slope of a line. Equation of lines in different forms, angle between two lines. Condition

of perpendicularity and parallelism of two lines. Distance of a point from a line. Distance between two

parallel lines. Lines through the point of intersection of two lines.

Circle : Equation of a circle with a given center and radius. Condition that a general equation of second

degree in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter .

Parametric equation of a circle. Intersection of a line with a circle. Equation of common chord of two

intersecting circles.

Conics : Definition, Directrix, Focus and Eccentricity, classification based on eccentricity.

Parabola :Standard equation. Reduction of the form x = ay²+by+c or y = ax²+bx+c to the standard form

y² = 4ax or x² = 4ay respectively. Elementary properties and parametric equation of a parabola.

Ellipse and Hyperbola : Reduction to standard form of general equation of second degree when xy

term is absent. Conjugate hyperbola. Simple properties. Parametric equations. Location of a point with

respect to a conic.

Differential calculus : Functions, composition of two functions and inverse of a function, limit,

continuity, derivative, chain rule, derivatives of implicit functions and of functions defined

parametrically.

Rolle’s Theorem and Lagrange’s Mean Value theorem (statement only). Their geometric interpretation

and elementary application. L’Hospital’s rule (statement only) and applications.

Second order derivative.

Integral calculus : Integration as a reverse process of differentiation, indefinite integral of

standard functions. Integration by parts. Integration by substitution and partial fraction.

Definite integral as a limit of a sum with equal subdivisions. Fundamental theorem of integral calculus

and its applications. Properties of definite integrals.

Differential Equations : Formulation and solution of differential equations of the forms.

1) dy / dx = ƒ(x).g(y)

2) dy / dx = ƒ(y/x)

3) dy / dx = (ax+by) / (cx+dy)

4) dy / dx = (a1x+b1y+c1 )/ (a2x+b2y+c2 ) /(a1/a2 = b1/b2)

5) dy / dx + p(x)y = Q(x)

6) d²y / dx² + p1 dy/dx + p2y = 0 with p1 and p2constants.

7) d²y/dx² = ƒ(x)

Application of Calculus : Tangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima. Differential coefficient as a measure of rate.Motion in a straight line with constant acceleration.Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and straight lines. Area of the region included between two elementary curves.

Also Check out >> WEST BENGAL JEM  ENTRANCE EXAM SYLLABUS

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West Bengal JEE Entrance Exam Syllabus

December 3rd, 2009

Given Below is the Syllabus  of WBJEE (West Bengal Joint Entrance Exam)

WBJEE Mathematics Syllabus

WBJEE Physics Syllabus

WBJEE Chemistry Syllabus

WBJEE Biology Syllabus

Also Check out WBJEE 2010 Notification and Dates

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