Exam Scheme:

Note :-

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

---

Syllabus : Physics-I

---

1. Electromagnetic Theory and Optics

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; Scalar and vector potentials; Gauge invariance;
4. Electromagnetic waves: in free space, dielectrics, and conductors;
5. Reflection and refraction: polarization, Fresnel's Law, interference, coherence, and diffraction; Dispersion relations in plasma;
6. Dynamics of charged particles: in static and uniform electromagnetic fields; Radiation from moving charges, dipoles and retarded potentials.
7. General theory of Image formation: Cardinal points, Thick and Thin lenses, Microscope and Telescope, Interference of light, Haidinger fringes, Fresnel and Fraunhoffer diffraction, Resolving power, Polarization of light, Production and analysis of Polarized light.

---

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, Feedback in amplifiers, Oscillators, FET, MOSFET and their applications
3. Operational amplifiers and its applications: inverting and non-inverting amplifiers, adder, integrator differentiator, wave form generator, multivibrators, comparator, Schmidt trigger.
4. 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.

---

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, Mean and rms values in AC circuits.
3. LR, CR and LCR circuits: series and parallel resonance. Quality factor. Principal of transformer.

---

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; Relativistic corrections for energy levels of hydrogen; Hyperfine structure and isotopic shift; width of spectral lines; LS & JJ coupling; Zeeman, Paschen-Back & Stark effect; X-ray spectroscopy; Electron spin resonance.
3. Nuclear magnetic resonance: chemical shift; Rotational, vibrational, electronic, and Raman spectra of diatomic molecules; Frank-Condon principle and selection rules; Spontaneous and stimulated emission, Einstein A & B coefficients; Lasers, optical pumping, population inversion, rate equation.

---

5. Condensed Matter Physics

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