## CUET PG Physics Syllabus

### UNIT I: Mathematical Methods

- Calculus of single and multiple variables
- Partial derivatives
- Jacobian
- Imperfect and perfect differentials
- Taylor expansion
- Fourier series
- Vector algebra
- Vector Calculus
- Multiple integrals
- Divergence theorem
- Green’s theorem
- Stokes’ theorem
- First order equations and linear second order differential equations with constant coefficients
- Matrices and determinants
- Algebra of complex numbers

### UNIT II: Mechanics and General Properties of Matter

- Newton’s laws of motion and applications
- Velocity and acceleration in Cartesian
- Polar and cylindrical coordinate systems
- Uniformly rotating frame
- Centrifugal and Coriolis forces
- Motion under a central force
- 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
- Variable mass systems
- Elastic and inelastic collisions
- Rigid body motion
- Fixed axis rotations
- Rotation and translation
- Moments of Inertia and products of Inertia
- Parallel And perpendicular axes theorem
- Principal moments and axes
- Kinematics of moving fluids
- Equation of continuity
- Euler’s equation
- Bernoulli’s theorem

### UNIT III: 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 travelling and standing waves in one-dimension.
- Energy density 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
- Polarisation: linear, circular and elliptic
- Double refraction and optical rotation

### UNIT IV: Electricity and Magnetism

- Coulomb’s law
- Gauss’s law
- Electric field and potential
- Electrostatic Boundary conditions
- Solution of Laplace’s equation for simple cases
- Conductors
- Capacitors
- Dielectrics
- Dielectric
- Polarisation volume and surface charges
- Electrostatic energy
- Biot-Savart law
- Ampere’s 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
- Poynting’s theorem
- Reflection and refraction at a dielectric interface
- Transmission and reflection coefficients (normal incidence only)
- Lorentz Force and motion of charged particles in electric and magnetic fields.

### UNIT V: Electricity and Magnetism

- 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-Waalsgas and equation of state
- Mean free path
- Laws of thermodynamics
- Zeroth law and concept of thermal equilibrium
- First law and its consequences
- Isothermal and adiabatic processes
- Reversible, irreversible and quasi-static processes
- Second law and entropy
- Carnot cycle
- Maxwell’s thermodynamic relations and simple applications
- Thermodynamic potentials and their applications
- Phase transitions and Clausius-Clapeyron equation
- Ideas of ensembles
- Maxwell-Boltzmann
- Fermi- Dirac and Bose Einstein distributions

### UNIT VI: Modern Physics

- Inertial frames and Galilean invariance
- Postulates of special relativity
- Lorentz transformations
- Length contraction, time dilation
- Relativistic velocity addition theorem
- Mass energy equivalence
- Blackbody radiation
- Photoelectric effect
- Compton effect
- Bohr’s atomic model
- X-rays.
- Wave-particle duality
- Uncertainty principle
- The superposition principle
- Calculation of expectation values
- Schrödinger equation and its solution for one-, two- and three-dimensional boxes
- Solution of Schrödinger equation for the one-dimensional harmonic oscillator
- Reflection and transmission at a step potential
- Pauli Exclusion Principle
- Structure of atomic nucleus, mass and binding energy
- Radioactivity and its applications
- Laws of radioactive decay

### UNIT VII: Solid State Physics, Devices and Electronics

- Crystal structure, Bravais lattices and basis
- Miller indices
- X Ray diffraction and Bragg’s law Intrinsic and extrinsic semiconductors
- Variation of resistivity with temperature
- Fermi level
- p-n junction diode
- I-V characteristics
- Zener diode and its applications
- BJT: characteristics in CB, CE, CC modes
- Single stage amplifier, two stage R-C coupled amplifiers
- Simple Oscillators: Barkhausen condition, sinusoidal oscillators
- OP AMP and applications: Inverting and non-inverting amplifier
- Boolean algebra: Binary number systems; conversion from one system to another system; binary addition and subtraction
- Logic Gates AND, OR, NOT, NAND, NOR exclusive OR; Truth tables; combination of gates; de Morgan’s theorem.