Note :-

1. All questions carry equal marks.
2. There will be Negative Marking.
3. Medium of Competitive Exam: Bilingual in English & Hindi.

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Syllabus : Physics-I

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1. Electromagnetic Theory
   1. Electrostatics: Gauss's Law and its applications; Laplace and Poisson equations, boundary value problems;
   2. Magnetostatics: Biot-Savart law, Ampere's theorem, electromagnetic induction;
   3. Maxwell's equations in free space and linear isotropic media; boundary conditions on fields at interfaces;
   4. Scalar and vector potentials; Gauge invariance;
   5. Electromagnetic waves in free space, dielectrics, and conductors;
   6. Reflection and refraction, polarization, Fresnel's Law, interference, coherence, and diffraction;
   7. Dispersion relations in plasma;
   8. Lorentz invariance of Maxwell's equations;
   9. Dynamics of charged particles in static and uniform electromagnetic fields;
   10. Radiation from moving charges, dipoles and retarded potentials.

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2. Electronics
   1. Physics of P-N junction, Diode as a circuit element, clipping and clamping, Rectification, Zener regulated power supply
   2. Transistor as a circuit element, CC, CB and CE configuration, Transistor as a switch,
   3. Feedback in amplifiers, Oscillators, FET, MOSFET and their applications,
   4. Operational amplifiers and its applications, inverting and non-inverting amplifiers, adder, integrator differentiator, wave form generator, multivibrators, comparator, Schmidt trigger.
   5. Boolean Algebra, Digital integrated circuits: Logic gates, NAND and NOR gates as building blocks, X-OR gate, Half and Full adder circuits, Karnaugh map, Flip – Flops, counters and registers.

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3. Circuit Analysis
   1. Energy sources, Active and Passive elements, Kirchhoff's laws and their applications.
   2. Four terminal networks, Z, Y and h parameters, Thevenin's and Norton's Theorem, Maximum Power Transfer Theorem, Superposition Theorem, Reciprocity Theorem, Miller Theorem, T and PI Network,
   3. Mean and rms values in AC circuits. LR, CR and LCR circuits- series and parallel resonance. Quality factor. Principal of transformer.

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4. Atomic & Molecular Physics
   1. Quantum states of an electron in an atom; Electron spin; Stern-Gerlach experiment;
   2. Spectrum of Hydrogen, helium and alkali atoms;
   3. Relativistic corrections for energy levels of hydrogen;
   4. Hyperfine structure and isotopic shift; width of spectral lines; LS & JJ coupling;
   5. Zeeman, Paschen Back & Stark effect;
   6. X-ray spectroscopy;
   7. Electron spin resonance, Nuclear magnetic resonance, chemical shift;
   8. Rotational, vibrational, electronic, and Raman spectra of diatomic molecules;
   9. Frank-Condon principle and selection rules;
   10. Spontaneous and stimulated emission, Einstein A & B coefficients;
   11. Lasers, optical pumping, population inversion, rate equation.

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5. Condensed Matter Physics
   1. Crystal structure, Miller Indices, Bravais lattices; Reciprocal lattice, diffraction and the structure factor;
   2. Bonding of solids; Elastic properties, phonons, lattice specific heat;
   3. Free electron theory and electronic specific heat; Einstein and Debye model,
   4. Response and relaxation phenomena; Drude model of electrical and thermal conductivity;
   5. Boltzman transport equation, Sommerfield theory of electrical conductivity, Mathiessen's rule, Hall effect and thermoelectric power;
   6. Origin of Atomic Magnetism, Diamagnetism, paramagnetism, and ferromagnetism;
   7. Curie, Langevin and Quantum theories of magnetism,
   8. Electron motion in a periodic potential, band theory of metals, Kronig-Penny model, Effective mass, concept of holes, insulators and semiconductors;
   9. Superconductivity, type- I and type- II superconductors, BCS theory, DC and AC Josephson Effects,
   10. Semiconductor: laws of mass action, Impurity conductivity, Recombination mechanism, Photo conductivity and Photo luminescence.