PHYSICS CSS SYLLABUS (200 MARKS)

PAPER—I (Marks-100)

I. Mechanics

  1. Vectors
    • Dot Products
    • Cross Products
    • Triple Products
    • Gradient, Divergence, Curl, and Applications
  2. Newtonian Laws of Motion
    • Calculus-based Approach to Kinematics, Forces, and Dynamics
    • Conservation Law of Energy
    • Conservation of Linear and Angular Momentum
    • Dynamics of Rigid Body
    • Spin and Precession
    • Gyroscope
  3. Gravitation
    • Planetary Motion and Satellites
    • Kepler’s Laws
    • Centripetal Forces
  4. Special Theory of Relativity
    • Michelson-Morley Experiment and Einstein’s Postulates
    • Lorentz Transformation
    • Time Dilation and Length Contraction
    • Equivalence of Mass and Energy

II. Fluid Mechanics

  1. Surface Tension
  2. Viscosity
  3. Elasticity
  4. Fluid Motion and Bernoulli’s Theorem

III. Waves and Oscillations, Optics

  1. Oscillations
    • Free Oscillation with One and Two Degrees of Freedom
    • Forced and Damped Oscillations
    • Phenomenon of Resonance
    • Simple Harmonic Motion
  2. Waves
    • Traveling Waves and Transmission of Energy
    • Phase and Group Velocity
    • Standing Waves
    • Basics of Sound Waves
  3. Optics
    • Reflection and Refraction
    • Interference and Diffraction
    • Polarization of Waves
    • Interferometer and Newton’s Rings
    • Diffraction Gratings and Their Resolving Power
    • Spectrometers
  4. Electromagnetic Waves
    • Electromagnetic Wave Equation
    • Normal and Anomalous Dispersion
    • Coherence
    • Lasers and Applications

IV. Heat and Thermodynamics

  1. Gases
    • Perfect Gas
    • Real Gas and Van der Waals Equation
  2. Laws of Thermodynamics
    • Three Laws of Thermodynamics
    • Internal Energy, Temperature, and Entropy
    • Thermal Properties of Simple Systems
  3. Kinetic Theory of Gases
    • Maxwellian Distribution of Molecular Velocities
    • Brownian Motion
    • Transport Phenomena
  4. Statistical Mechanics
    • Classical Maxwell-Boltzmann Statistics and Its Application
    • Bose-Einstein Statistics
    • Fermi-Dirac Statistics

PAPER—II (Marks-100)

I. Electricity and Magnetism

  1. Electric Fields
    • Electric Field Due to Point Charges
    • Gauss’ Law
    • Electric Potential
    • Poisson and Laplace’s Equations
  2. Dielectric Medium and Polarization
  3. Capacitance
  4. Magnetic Fields
    • Moving Charges and Resulting Magnetic Field
    • Ampere’s Law
    • Magnetic Properties of Matter
    • Faraday’s Law of Electromagnetic Induction
  5. Alternating Current
    • RLC Circuit
  6. Electromagnetic Theory
    • Poynting Theorem and Poynting Vector
    • Maxwell’s Equations (Integral and Differential Form)
    • Scalar and Vector Potential

II. Modern and Quantum Physics

  1. Wave-Particle Duality
    • Waves and Particles
    • De Broglie’s Hypothesis
  2. Quantum Mechanics
    • Operators and Quantum States
    • Observables
    • Time-Dependent and Independent Schrödinger Equation
    • Angular Momentum
    • Spin-1/2 Particle in a Magnetic Field
    • Wave Mechanics: Particle in a Box, Tunneling, One-Dimensional Harmonic Oscillator
  3. Key Principles and Effects
    • Heisenberg’s Uncertainty Relationship
    • Indeterminacy Based on Commutation Properties of Operators
    • Bohr’s Theory and Quantum Numbers (Including Electron Spin)
    • Pauli’s Exclusion Principle
    • Spectra of Simple Systems with One or Two Valence Electrons
  4. Important Experiments and Effects
    • Photoelectric Effect
    • Compton Scattering
    • Pair Production
    • Lande’s g-Factor and Zeeman Effect
    • Raman Effect

III. Solid State Physics

  1. Crystal Lattice and Structure
  2. Bravais Lattice
  3. Free Electron Model
  4. Band Theory and Electron in a Periodic Potential
  5. Fermi Energy and Density of States
  6. Semiconductors
    • n-type and p-type Semiconductors
    • Physics of Transistor and MOSFET
  7. Material Properties
    • Dielectric Properties
    • Magnetic Properties and Origin of Magnetism

IV. Nuclear Physics

  1. Structure of Nuclei
  2. Radioactivity
    • Alpha (α), Beta (β), and Gamma (γ) Decay
  3. Detection Methods
    • Methods of Detection of Nuclear Radiation
    • Mass Spectrometer
  4. Nuclear Energy
    • Accelerators
    • Phenomenon of Fission
    • Reactor and Nuclear Power
    • Nuclear Fusion and Its Applications
  5. Elementary Particles
    • Elementary Particles and Their Properties

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