(Syllabus) Joint Admission Test (JAM) Syllabus for Geophysics (GP) : 2009

Joint Admission Test (JAM) Syllabus for Geophysics (GP) : 2009

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:

 

GEOLOGY SECTION

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.

Geomorphology:

Weathering and erosion; transportation and deposition due to wind, ice, river, sea, and resulting landforms, Structurally controlled landforms.

Structural Geology:

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.

Mineralogy:

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 in rock.

Stratigraphy:

Principles of Stratigraphy, Geological Time Scale, ages of major stratigraphic units of India.

Petrology:

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.

Economic Geology:

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.

 

MATHEMATICS SECTION

Sequences, Series and Differential Calculus:

  • Sequences of real numbers, Convergent sequences and series.
  • Mean Value Theorem, Taylor 's theorem, Maxima and Minima, functions of several variables.

Integral Calculus:

Fundamental theorem of calculus, Integration, Double and Triple integrals, Surface Areas and Volumes.

Differential Equations:

Linear and Non-linear ODE, existence and uniqueness (without proof), Linear Differential Equations of second order with constant coefficients.

Vector Calculus:

Gradient, Divergence, Curl, Laplacian, Green's, Strokes and Gauss theorems and their Applications.

Linear Algebra:

  • System of Linear Equations, Matrices, Rank, Determinant, Inverse, eigen-values and eigen-vectros.
  • Dimension, Linear transformations.

Real Analysis:

Open and closed sets and limit points in R and completeness in R , Uniform Continuity, Power Series, Uniform Convergence.

Probability:

Probability spaces, Conditional Probability, Independence , Bayes Theorem, Univariate and Bivariate Random Variables, Moment Generating and Characteristic Functions, Binomial, Poisson and Normal distributions.

 

Statistics:

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.

 

Complex Analysis:

Analytical functions, Harmonic functions, Cauchy's theorem, Cauchy's Integral Formula, Taylor and Laurent Expansion, Poles and Residues.

 

Numerical Analysis:

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 convergence.

 

PHYSICS SECTION

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 energy.
  • Kinematics of moving fluids, equation of continuity, Euler's equation, Bernoulli's theorem, viscous fluids, surface tension and surface energy, capillarity.

 

Oscillations, Waves and Optics:

  • Differential equation for simple harmonic oscillator and its general solution.
  • 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.
  • Polarization:
  • 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 fields.

 

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.

 

Modern Physics:

  • 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.