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who are preparing for OJEE Exam which is also known as Odisha Joint Entrance
Examination is conducted by the State Government. This Exam is to provide
admission to Various Courses in private and governmental Medical, Engineering
and Management Institutions of Odisha.
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according to the given pattern.
Details about OJEE
Syllabus 2017
Exam name; Odisha Joint Entrance Examination
Conduction Body: State Government Odisha
Courses name; MBA, MCA, BHMS, and BSC
Announcement Type: Syllabus & Exam Pattern
Exam date; Second week of May 2017
Status: Given Below
OJEE Syllabus
Mathematics (60 marks):
Topic

Syllabus

Logic

Statement
Negation
Implication
Converse
Contraposititve
Conjunction
Disjunction
Truth Table
Different methods of proof
Principle of Mathematical induction

Algebra of sets

Set operation
Union
Intersection
Difference
Symmetric difference
Complement
Venn diagram
Cartesian product of sets
Relation and functions
Equivalence relation
Kinds of functions and their domain and range
Composite function
Inverse of a function

Number system

Real numbers (algebraic and order properties, rational and
irrational
numbers)
Absolute value
Triangle inequality
AM ≥ GM
Inequalities(simple cases)
Complex numbers
Algebra of complex numbers
Conjugate and square root of a complex number
Cube roots of unity
De Moivre’s theorem with simple application Permutations
and Combinations simple applications
Binomial theorem for positive integral index
Identities involving binomial coefficients
Determinants and matrices:
Determinants of third order
Minors and cofactors
Properties of determinants
Matrices upto third order
Types of matrices
algebra of matrix
adjoint and inverse of matrix
Application of determinants and matrices to the solution
of linear equations (in three unknowns)

Trigonometry

Compound angles
Multiple and Submultiple angles
Solution of trigonometric equations
Properties of triangles
Inverse circular function
Sum and product of sine and cosine functions
Coordinate geometry of two dimensions:
Straight lines
Pairs of straight lines
Circles Equations of tangents and normals to a circle
Equations of parabola
Ellipse and hyperbola in simple forms
their tangents and normals
Condition of tangency
Rectangular and Conjugate hyperbolas
Coordinate geometry of three dimensions:
Distance and Division formulae
Direction
cosines and direction ratios
Projection
Angle between two planes
Angle between a line and a plane
Distance of a point from a line and a plane
Equation of a sphere – general equation
Equation of sphere when end points of diameter are given

Quadratic polynomials

Roots of quadratic polynomial
Factorisation of quadratic
polynomials
Maximum and minimum values of quadratic polynomials for
all real values of
the variable
sign of the quadratic polynomial for all real values of
the variable
Solution of quadratic inequations

Sequence and Series

Definition
Infinite geometric series
Arithmeticogeometric series
Exponential and Logarithmic series

Vectors

Fundamentals
Dot and cross product of two vectors
Scalar triple product and vector triple product
Simple application of different products

Differential calculus

Concept of limit
Continuity of functions
Derivative of standard
Algebraic and Transcendental functions
Derivative of composite functions
functions in parametric form
Implicit differentiation
Successive differentiation (simple cases)
Leibnitz theorem
Partial differentiation
Application of Euler’s theorem
Derivative as a rate measure
Increasing and decreasing functions
Maxima and Minima
Indeterminate forms
Geometrical application of derivatives such as finding
tangents and normals to plane
curves

Integral calculus

Standard methods of integration (substitution, by parts,
by partial
fraction, etc)
Integration of rational
irrational functions and trigonometric functions
Definite integrals and properties of definite integrals
Areas under plane curves

Differential equations

Definition
order
degree of a differential equation
General and particular solution of a differential equation
Formation of a differential equation
Solution of a differential equations by method of
separation of variables
Homogeneous differential equations of first order and
first degree
Linear differential equations of the form dy/dx +p(x)y =
q(x), Solutions of differential equations of the form d2y/dx2 =f(x)

Probability and statistics

Average (mean, median and mode)
Dispersion (standard
deviation and variance)
Definition of probability
Mutually exclusive event
Independent
events
Compound events
Conditional probability
Addition theorem

Number system

Decimal
binary
octal
hexadecimal numbers and their conversion

COMPUTER AWARENESS (60
marks)
Topic

Syllabus

Introduction to Computer

Brief history of Computers
Components of a Computer
Computer related general knowledge
Application of Computers
Classification of Computers
Windows

Computer Arithmetic

Number System with general base
Number base conversion
Elementary arithmetic operation

C Language

Keywords
Constants
Variables
Identifiers
Operators
Statements
Writing simple C program
Arithmetic and logical expression
Simple if
nested if, ifelseladder, conditional operators,
Switch case, for, while and do while loops.
Concept of functions in C.

OJEE Syllabus FOR
LATERAL ENTRY STREAM (+3 Sc. / B.Sc)
+3 Sc. / B.Sc. PHYSICS (15 Questions)
Topic

Syllabus

Mechanics

laws of motion
motion in a uniform field
components of velocity and acceleration in different
coordinate systems
Motion under a central force
Kepler’s law
Gravitational law and field
Potential due to a spherical body
Gauss and Poisson equations for gravitational selfenergy
System of particles
center of mass
equation of motion
conservation of linear and angular momenta
conservation of energy
elastic and inelastic collisions
Rigid body motion
rotational motion
moment of inertia and their products

Oscillations

Harmonic oscillations
kinetic and potential energy examples of simple harmonic
oscillations spring and mass system
simple and compound pendulum
torsional pendulum
Superposition of two simple harmonic motions of the same
frequency along the same line
interference
superposition of two mutually perpendicular simple harmonic
vibrations of the same frequency
Lissajous figures
case of different frequencies

Motion of charged particles in electric and magnetic
fields

E as an accelerating field
electron gun
case of discharge tube
linear accelerator
E as deflecting fieldCRO
sensitivity

Properties of Matter

Elasticity
small deformations
Hooke’s law
elastic
constants for an isotropic solid
beams supported at both the ends
cantilever
torsion of a cylinder
bending moments and shearing forces
Bernoulli’s theorem
viscous fluids
streamline and turbulent flow
Poiseulle’s law
Capillarity
tube of flow
Reynold’s number
Stokes law
Surface tension and surface energy
molecular interpretation of surface tension
pressure across a curved liquid surface
angle of contact and wetting

Electrostatics

Coulomb’s law (in vacuum) expressed in vector forms
calculation of E for simple distributions of charge at
rest
dipole and quadrupole fields Work done on a charge in an
electrostatic field expressed as a line integral conservative nature of the
electrostatic field
Electric potential
E = dV/dx
Torque on a dipole in a uniform electric field and its
energy
flux of the electric field
Gauss’ law and its application for finding E for symmetric
charge distributions
Gaussian pillbox
fields at the surface of a conductor
Screening of electric field by a conductor
Capacitors
electrostatic energy
force per unit area of the surface of a conductor in an
electric field

Electric Currents

Steady current
Current density vector J
nonsteady currents and continuity equation
Kirchoff’s law and analysis of multiloop circuits
rise and decay of current in LR and
CR circuits
decay constants
transients in LCR circuits
AC circuits
Complex numbers and their applications in solving AC
circuit problems
complex impedance and reactance
series and parallel resonance
Q factor
power consumed by an AC circuit
power factor

Magnetostatics

Force on a moving charge
Lorentz force equation and definition of B
force on a straight conductor carrying current in a
uniform magnetic field
torque on a current loop
magnetic dipole moment
Biot and Savart’s law
calculation of B in simple geometric situations

Time Varying Fields

Electromagnetic induction
Faraday’s law
electromotive force
e=σ.E.dr
Integral and differential forms of Faraday’s law
mutual and self inductance
transformers
energy in a static magnetic field
Maxwell’s displacement current
Maxwell’s equations
electromagnetic field
energy density

Electromagnetic Waves

The wave equation satisfied by E and B
plane electromagnetic waves in vacuum
Poynting’s vector

Kinetic theory of Matter

Real gas
Van der Waals gas
equation of state
nature of Van der Waals forces
comparison with experimental PV curves
The critical constants
distinction between gaseous and vapour state
Joule expansion of ideal gas and of a Van der Waals gas
Joule coefficient
estimates of JT cooling

Thermodynamics

Blackbody radiation
energy distribution in blackbody spectrum
Planck’s quantum postulates
Planck’s law
Interpretation of behaviour of specific heats of gases at
low temperature

Kinetic Theory of Gases

Maxwellian distribution of speeds in an ideal gas
distribution of speeds and of velocities
distinction between mean
rms and most probable speed values

Physical Optics

The principle of superpositions
Interference of a light
doubleslit interference
coherence requirement for the sources
optical path retardation
lateral shift of fringes

Localized fringes

thin films
Michelson interferometer
Fresnel diffraction
Fresnel halfperiod zones
plates
straight edge
rectilinear propagation
Fraunhofer

Diffraction

Diffraction of a single slit
the intensity distribution
diffraction at a circular
aperture and a circular disc
Diffraction gratings:
Diffraction at N parallel slits
intensity distribution
plane diffraction grating
polarization of transverse waves
plane
circular and elliptically polarized light
Polarization by reflection and refraction

Double reflection and optical rotation

Refraction
in uniaxial crystals
its electromagnetic theory
Phase retardation plates
double image prism
rotation of plane of polarized light
origin of optical rotation in liquids and in crystals

Quantum Mechanics

Origin of the quantum theory
failure of classical physics to explain the phenomena such
as blackbody spectrum
photo electric effect
Ritz combination
principle in spectra
stability of an atom
Planck’s radiation law
Einstein’s explanation of photoelectric effect
Bohr’s quantization of angular momentum and its
applications to hydrogen atom
limitations of Bohr’s theory
Wave particle duality and uncertainty

principle

de Broglie’s hypothesis for matter waves
the concept of wave and group velocities
evidence for diffraction and interference of particles,
experimental demonstration of matter waves
Consequence of de Broglie’s concepts
quantization in hydrogen atom
quantized energy levels of a particle in a box
wave packets
Heisenberg’s
uncertainty relation for p and x
its extension to energy and time

uncertainty relation

gamma ray microscope
diffraction at a slit
particle in a box
position of electron in a Bohr orbit

Quantum Mechanics

Schrodinger’s equation
Postulatory basis of quantum mechanics
operators
expectation values
transition probabilities
applications to particle in a one dimensional box
harmonic oscillator
reflection at a step potential
transmission across a potential barrier

Week spectra

ontinuous Xray spectrum and its dependence on voltage
Characteristics Xrays
Moseley’s law
Raman effect
Stokes and antiStocks lines
fission and fusion (concepts)
energy production in stars by pp and carbon cycles
(concepts)
Cyclotron

Solid State Physics

Xray diffraction
Bragg’s law

Magnetism

Atomic magnetic moment
magnetic susceptibility
DiaParaand Ferromagnetism
Ferromagnetic domains
Hysteresis

Band Structure

Energy bands
energy gap
metals
insulators
semiconductors

Solid State Devices

Semiconductors  Instrinsic semiconductors
electrons and holes Fermi level
Temperature dependence of electron and hole concentrations

Doping

impurity states
n and p type semiconductors

Semiconductor devices

pn junction
majority and minority charge carriers
junction diode
Zener diode

Electronics

Power supply
diode as a circuit element
load line concept
rectification
ripple factor
Zener diode
voltage stabilization
IC voltage regulation
characteristics of a
16 transistor in CB
CE and CC mode

Orissa JEE Exam
Pattern:
OJEE is the pen and paper based examination.
The question paper of OJEE 2017 will consisting of 60 MCQs
(multiple choice questions)
There will be four options for each question, out which only
one option is correct.
Each correct answer will contain 4 marks while for every
incorrect answer 1 mark will be deducted as the negative marking.
The duration of the examination varies from course to
course.
The exam duration will be 1 hour or 2 hours.
Important Link:
OJEE Exam Date

Second week of May 2017

Official Site

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