# (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.