**GATE 2025 Physics Syllabus** – Here we will discuss in detail about GATE 2025 Physics Syllabus. Download PDF Here.

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## About GATE Exam

**GATE** Exam is jointly conducted by the **Indian Institute of Science (IISc), Bangalore** and the seven IIT’s (**IIT Bombay, Delhi,**

**Kanpur, Guwahati,**,

**Roorkee****Madras and Kharagpur**).

**GATE 2025 **will be organized by ** IIT Roorkee**.

Full details on GATE – **GATE**

## Pattern of GATE 2025 Physics Exam

Before looking at the syllabus of GATE Physics look at the pattern of GATE Physics exam.

There will be two section containing **65 questions** carrying a total of **100 marks**.

Section | Distribution of Marks | Total Marks | Types of questions |

General Aptitude | 5 questions of 1 mark each 5 questions of 2 marks each | 15 marks | MCQ |

Physics | 25 questions of 1 mark each 30 questions of 2 marks each | 85 marks | MCQ, MSQ and NAT |

## GATE General Aptitude Syllabus

Syllabus for General Aptitude section is common for all subjects of GATE Exam.

This section contains questions from

Verbal Aptitude |

Quantitative Aptitude |

Analytical Aptitude |

Spatial Aptitude |

For complete details of this section and syllabus pdf visit – **GATE General Aptitude Syllabus, Study Plan**

## GATE 2025 Physics Syllabus Structure

**Structure of GATE Physics Syllabus**

Sections/Units | Topics |

Section 1 | Mathematical Physics |

Section 2 | Classical Mechanics |

Section 3 | Electromagnetic Theory |

Section 4 | Quantum Mechanics |

Section 5 | Thermodynamics and Statistical Physics |

Section 6 | Atomic and Molecular Physics |

Section 7 | Solid State Physics |

Section 8 | Electronics |

Section 9 | Nuclear and Particle Physics |

## GATE 2025 Physics Syllabus

### Section 1: Mathematical Physics

- Vector Calculus: linear vector space: basis, orthogonality and completeness; matrices; similarity transformations, diagonalization, eigenvalues and eigenvectors;
- Linear differential equations: second order linear differential equations and solutions involving special functions;
- Complex analysis: Cauchy-Riemann conditions, Cauchy’s theorem, singularities, residue theorem and applications;
- Laplace transform, Fourier analysis;
- Elementary ideas about tensors: covariant and contravariant tensors.

### Section 2: Classical Mechanics

- Lagrangian Formulation: D’Alembert’s principle, Euler-Lagrange equation, Hamilton’s principle, calculus of variations; symmetry and conservation laws;
- Central force motion: Kepler problem and Rutherford scattering;
- Small oscillations: coupled oscillations and normal modes;
- Rigid body dynamics: interia tensor, orthogonal transformations, Euler angles, Torque free motion of a symmetric top; Hamiltonian and Hamilton’s equations of motion; Liouville’s theorem; canonical transformations: action-angle variables, Poisson brackets, Hamilton-Jacobi equation.
- Special Theory of Relativity: Lorentz transformations, relativistic kinematics, mass-energy equivalence.

### Section 3: Electromagnetic Theory

- Solutions of electrostatic and magnetostatic problems including boundary value problems; method of images; separation of variables; dielectrics and conductors; magnetic materials; multipole expansion;
- Maxwell’s equations; scalar and vector potentials; Coulomb and Lorentz gauges;
- Electromagnetic waves in free space, non-conducting and conducting media; reflection and transmission at normal and oblique incidences; polarization of electromagnetic waves; Poynting vector, Poynting theorem, energy and momentum of electromagnetic waves; radiation from a moving charge.

### Section 4: Quantum Mechanics

- Postulates of quantum mechanics; uncertainty principle; Schrodinger equation; Dirac Bra-Ket notation, linear vectors and operators in Hilbert space; one dimensional potentials: step potential, finite rectangular well, tunneling from a potential barrier, particle in a box, harmonic oscillator;
- Two and three dimensional systems: concept of degeneracy; hydrogen atom; angular momentum and spin; addition of angular momenta;
- Variational method and WKB approximation, time independent perturbation theory; elementary scattering theory, Born approximation; symmetries in quantum mechanical systems.

### Section 5: Thermodynamics and Statistical Physics

- Laws of thermodynamics; macrostates and microstates; phase space; ensembles; partition function, free energy, calculation of thermodynamic quantities;
- Classical and quantum statistics; degenerate Fermi gas; black body radiation and Planck’s distribution law; Bose-Einstein condensation; first and second order phase transitions, phase equilibria, critical point.

### Section 6: Atomic and Molecular Physics

- Spectra of one-and many-electron atoms; spin-orbit interaction: LS and jj couplings; fine and hyperfine structures; Zeeman and Stark effects; electric dipole transitions and selection rules;
- Rotational and vibrational spectra of diatomic molecules; electronic transitions in diatomic molecules, Franck-Condon principle; Raman effect; EPR, NMR, ESR, X-ray spectra;
- Lasers: Einstein coefficients, population inversion, two and three level systems.

### Section 7: Solid State Physics

- Elements of crystallography; diffraction methods for structure determination; bonding in solids; lattice vibrations and thermal properties of solids; free electron theory; band theory of solids: nearly free electron and tight binding models; metals, semiconductors and insulators; conductivity, mobility and effective mass;
- Optical properties of solids; Kramer’s-Kronig relation, intra- and interband transitions; dielectric properties of solid; dielectric function, polarizability, ferroelectricity; magnetic properties of solids; dia, para, ferro, antiferro and ferri-magnetism, domains and magnetic anisotropy;
- Superconductivity: Type-I and Type II superconductors, Meissner effect, London equation, BCS Theory, flux quantization.

### Section 8: Electronics

- Semiconductors in Equilibrium: electron and hole statistics in intrinsic and extrinsic semiconductors; metal-semiconductor junctions; Ohmic and rectifying contacts; PN diodes, bipolar junction transistors, field effect transistors; negative and positive feedback circuits; oscillators, operational amplifiers, active filters; basics of digital logic circuits, combinational and sequential circuits, flip-flops, timers, counters, registers, A/D and D/A conversion.

### Section 9: Nuclear and Particle Physics

- Nuclear radii and charge distributions, nuclear binding energy, electric and magnetic moments; semi-empirical mass formula; nuclear models; liquid drop model, nuclear shell model; nuclear force and two nucleon problem;
- alpha decay, beta-decay, electromagnetic transitions in nuclei; Rutherford scattering, nuclear reactions, conservation laws; fission and fusion;
- Particle accelerators and detectors;
- Elementary particles; photons, baryons, mesons and leptons; quark model; conservation laws, isospin symmetry, charge conjugation, parity and time-reversal invariance.