Joint Admission Test (JAM) Syllabus for Geophysics (GP) :
There will be Three sections in the Geophysics (GP) test paper, namely, Geology, Mathematics and Physics, each with a weightage of 50%.
A candidate has to attempt any Two sections. The syllabus for
the Geology, Mathematics and Physics Sections of the Geophysics (GP) test paper
are given below:
The Planet Earth:
Origin of the Solar System and the Earth; Geosphere and the
composition of the earth; Shape and size of the Earth; Earth-moon
system; Formation of continents and oceans; dating
the rocks and age of the Earth; Energy in the earth system;
Volcanism and volcanic land forms; Interior of earth;
Earthquakes and seismic waves; Earth's magnetism and
gravity, Isostasy; Elements of plate tectonics; Orogenesis.
Weathering and erosion; transportation and deposition due to
wind, ice, river, sea, and resulting landforms, Structurally controlled
Concept of stratum; Contour; Outcrop
patterns; Maps and cross sections; Dip and
strike; classification and origin of folds, faults, joints,
foliation and lineation, unconformities; shear zones.
Symmetry and forms in common crystal classes; physical
properties of minerals; Isomorphism and polymorphism,
Classification of minerals; Structure of silicates; Mineralogy
of common rock-forming minerals; Mode of occurrence of minerals
Principles of Stratigraphy, Geological Time Scale, ages of major
stratigraphic units of India.
Definition and classification of rocks; Igneous rock-forms
of igneous bodies; Crystallisation from magma; classification
and association of igneous rocks; Principles of Stratigraphy;
Sedimentary rocks-classification, texture and structure; Metamorphic
rocks-Classification, facies, texture and structure.
Physical properties of common ore minerals, General processes of formation of
mineral deposits; Mode of occurrence of important metallic and
non-metallic deposits in India; Coal, petroleum and ground
water occurrences in India.
Sequences, Series and Differential Calculus:
- Sequences of real numbers, Convergent sequences and series.
- Mean Value Theorem, Taylor 's theorem, Maxima and Minima, functions of
Fundamental theorem of calculus, Integration, Double and Triple integrals,
Surface Areas and Volumes.
Linear and Non-linear ODE, existence and uniqueness (without proof), Linear
Differential Equations of second order with constant coefficients.
Gradient, Divergence, Curl, Laplacian, Green's, Strokes and Gauss theorems
and their Applications.
- System of Linear Equations, Matrices, Rank, Determinant, Inverse, eigen-values
- Dimension, Linear transformations.
Open and closed sets and limit points in R and completeness
in R , Uniform Continuity, Power Series, Uniform Convergence.
Probability spaces, Conditional Probability, Independence , Bayes Theorem,
Univariate and Bivariate Random Variables, Moment Generating and Characteristic
Functions, Binomial, Poisson and Normal distributions.
Sampling Distributions of Sample Mean and Variance, Exact Sampling
Distribution (Normal Population), Simple and Composite hypothesis, Best critical
region of a Test, Neyman-Pearson theorem, Likelihood Ratio Testing and its
Application to Normal population, comparison of normal populations, large sample
theory of test of hypothesis, approximate test on the parameter of a binomial
population, comparison of two binomial populations.
Analytical functions, Harmonic functions, Cauchy's theorem, Cauchy's Integral
Formula, Taylor and Laurent Expansion, Poles and Residues.
Difference table, symbolic operators, differences of a factorial,
representation of a polynomial by factorials, Forward, backward and central
difference approximation formulae.
Simpson's one-third rule and the error in it, Gauss-Siedel method and method
of elimination for numerical solution of a system of linear equations, iteration
method and its convergence, Gradient and Newton-Raphson method and their
Mechanics and General Properties of Matter:
- Newton 's laws of motion and applications, Kepler's laws, Gravitational Law
and field, Conservative and non-conservative forces.
- System of particles, Centre of mass, equation of motion of the CM,
conservation of linear and angular momentum, conservation of energy.
- Elastic and inelastic collisions.
- Rigid body motion, fixed axis rotations, rotation and translation, moments of
Inertia and products of Inertia.
- Principal moments and axes.
- Elasticity, Hooke's law and elastic constants of isotropic solid, stress
- Kinematics of moving fluids, equation of continuity, Euler's equation,
Bernoulli's theorem, viscous fluids, surface tension and surface energy,
Oscillations, Waves and Optics:
- Differential equation for simple harmonic oscillator and its general
- Superposition of two or more simple harmonic oscillators.
- Lissajous figures.
- Damped and forced oscillators, resonance.
- Wave equation, traveling and standing waves in one-dimension.
- Energy density and energy transmission in waves.
- Group velocity and phase velocity.
- Sound waves in media.
- Doppler Effect.
- Fermat's Principle.
- General theory of image formation.
- Thick lens, thin lens and lens combinations.
- Interference of light, optical path retardation.
- Fraunhofer diffraction.
- Rayleigh criterion and resolving power.
- Diffraction gratings.
- linear, circular and elliptic polarization.
- Double refraction and optical rotation.
Electricity and Magnetism:
- Coulomb's law, Gauss's law.
- Concept of Potential, Field and Boundary Conditions, Solution of Laplace's
equation for simple cases.
- Conductors, capacitors, dielectrics, dielectric polarization, volume and
surface charges, electrostatic energy.
- Magnetic susceptibility, Bar magnet, Earth's magnetic field and its elements.
- Biot-Savart law, Ampere's law, Lenzes law, Faraday's law of electromagnetic
induction, Self and mutual inductance.
- Alternating currents.
- Simple DC and AC circuits with R, L and C components.
- Displacement current, Maxwell's equations and plane electromagnetic waves.
- Lorentz Force and motion of charged particles in electric and magnetic
Kinetic theory, Thermodynamics:
- Elements of Kinetic theory of gases.
- Velocity distribution and Equipartition of energy.
- Specific heat of Mono-, di- and tri-atomic gases.
- Ideal gas, Van-der-Waals gas and equation of state.
- Mean free path.
- Laws of thermodynamics.
- Zeroeth law and concept of thermal equilibrium.
- First law of thermodynamics and its consequences.
- Isothermal and adiabatic processes.
- Reversible, irreversible and quasi-static processes.
- Second law of thermodynamics.
- Carnot cycle.
- Blackbody radiation, photoelectric effect, Bohr's atomic model, X-rays.
- Wave-particle duality, Uncertainty principle, Pauli exclusion principle,
Structure of atomic nucleus, mass and binding energy.
- Radioactivity and its applications.
- Laws of radioactive decay and half life, Fission and fusion
Solid State Physics, Devices and Electronics:
- Crystal structure, Bravais lattices and basis.
- Miller indices.
- X-ray diffraction and Bragg's law, Origin of energy bands.
- Concept of holes.
- Intrinsic and extrinsic semiconductors.
- p-n junctions, transistors.
- Amplifier circuits with transistors.