www.jceceboard.org JCECE 2013 Syllabus Jharkhand Combined Entrance Competitive Examination : JCECEB Jharkhand Board

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Name of the Organisation : Jharkhand Combined Entrance Competitive Examination Board (jceceboard.org)
Type of Announcement : Syllabus
Designation : Jharkhand Combined Entrance Competitive Examination JCECE - 2013
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Syllabus : http://jceceboard.org/pdf/JCECE%20syllabus.pdf
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Syllabus for J.C.E.C.E. - 2013 Examination (PCM & PCB Group)

PHYSICS :
Physical World and Measurement :
Physics - scope and excitement; nature of physical laws; physics, technology and society. Need for measurement: Units of measurement; systems of units; Sl units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement, significant figures. Dimensions of phycical quantities, dimensional analysis and its applications.

Kinematics :
Frame of reference. Motion in a straight line :Position-time graph, speed and velocity.
Uniform and non-uniform motion, average speed and instantaneous velociy. Uniformly accelerated motion, velocity-time position-time graphs, reations for uniformly accelerated motion (graphical treatment).
Elementary concepts of differentation and integration fro describing motion.
Scalar and vector quantities: position and displacement vectorsgeneral vectors and notation equality of vectors, multiplication of vectors by a real number, addition and subtraction of vectros. Relative velocity.
Unit vector; Resolution of a vector in plane-rectangular components. motion in a plane. Cases of uniform circular motion.

Laws of Motion :
Intuitive conept of force. Inertia, Newton’s first law of motion; momentum and Newton’s second law of motion; impulse; Newton’s third law of motion. Law of conservation of linear momentum and its applications.
Equilibrium of concurrent forces. Static and kinetic friction, laws of friction, rolling friction.
Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on level circular road, vehicle on banked road).

Work, Energy and Power :
Scalar product of vectors. Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power.
Notion of potential energy, potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies); non-conservative forces: elastic and inelastic collisions in one and two dimensions.

Motion of System of Particles and Rigid Body :
Centre of mass of a two-particle system, momentum conversation and center of mass motion. Centre of mass of a rigid body; centre of mass of uniform rod.
Vector product of vectors; moment of force, torque, angular momentum, conservation of angular momentum with some examples.
Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions; moment of inertia, radius of gyration. Values of moments of inertia for simple geometrical objects (on derivation). Statement of parallel and perpendicular axes theorems and their applications

Gravitation :
Keplar’s laws of planetary motion. The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth.
Gravitational potential energy; gravitational potential. Escape velocity. Orbital velocity of a satellite. Geostationary satellites.

Properties of Bulk Matter :
Elastic behaviour, Stress-strain relationship, Hooke’s law, Young’s modulus, bulk modulus, shear, modulus of rigidity. Pressure due to a fluid column; Pascal’s law and its applications (hydraulic lift and hydraulic brakes). Effect of gravity of fiuid pressure.
Viscosity, Stokes’ law, terminal velocity, Reynold’s number, streamline and turbulent flow. Bernoulli’s theorem and its applications.

Behaviour of Perfect Gas and Kinetic Theory :
Equation of state of a perfect gas, work done on compressing a gas. Kinetic theory of gases-assumptions, concept of pressure. Kinetic energy and temperature; rms speed of gas molecules, degrees of freedom, law of equipartition of energy (statement only) and application to specific heats of gases; concept of mean free path. Avogadro’s number.

Oscil llations and Waves :
Periodic motion-period, frequency, displacements as a function of time. Periodic functions. Simple harmonic motion (S.H.M) and its equation; phase, oscillations of a springrestoring force and force constant, energy in S.H.M -kinetic and potential energies; simple pendulum-derivation of expression for its time period free, forced and damped oscillations (qualitative ideas only), resonance. Wave motion. Longitudinal and transverse waves, speed of wave motion. displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.

Unit I: Electrostatics
Electric Charges; Conservation of charge, Coulomb’s law force between two point charges, forces between multiple charges; superposition principle and continuous charge distribution.

Electric field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole in uniform electric field. Electric flux, statement of Gauss’s theorem and its applications to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell (field inside and outside).

Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges, equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field.

Conductors and insulators, free charges and bound charges inside a conductor, Dielectrics and electric polarisation, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor. Van de Graaff generator.

More Details : Refer the above PDF link.

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