# NDA Physics Syllabus

## NDA Syllabus for Physics

NDA SYLLABUS FOR PHYSICS

Unit I Quantum Physics:Group and particle velocities & their relationship. Uncertainty principle with elementary proof and applications ( determination of position of a particle by a microscope, non existence of electron innucleus, diffraction of an electron beam by a single slit). Compton scattering. Wave function and its properties, energy and momentum operators, time dependent and time independent Schrödinger wave equation. Application of time independent Schrödinger wave equation to particle trapped in a one dimensional square potential well (derivation of energy eigen values and wave function)

Unit II

Wave Optics:Interference:Fresnel's biprism,Interference in thin films (due to reflected and transmitted light),interference from a wedge shaped thin film,Newton’s rings and Michelson’s interferometer experiments and their applications. Diffraction at single slit, double slit and n-slits (diffraction grating). Resolving power of grating and prism. Concept of polarized light, Brewster's laws, Double refraction, Nicol prism, quarter & half wave plate.

Unit III

Nuclear Physics:Nuclear liquid drop model (semi empirical mass formula), nuclear shell model, Linear Particle

acceleratos :Cyclotron, general description of Synchrotron, Synchrocyclotron, and Betatron. Geiger-Muller Counter, Motion of charged particles in crossed electric and magnetic fields. Uses of Bainbridge and Auston mass Spectrographs.

Unit IV

Solid State Physics:Qualitative discussion of Kronig Penny model (no derivation), Effective mass, Fermi-Dirac statistical distribution function, Fermi level for Intrinsic and Extrinsic Semiconductors, Zener diode, tunnel diode, photodiode, solar-cells, Hall effect.Superconductivity: Meissner effect, Type I and Type II superconductors, Di-electric polarization,Complex permittivity, dielectric losses

UNIT V

Laser and Fiber Optics:Laser: Stimulated and spontaneous processes, Einstein’s A & B Coefficients, transition probabilities, active medium, population inversion, pumping,Optical resonators, characteristics of laser beam.Coherence, directionality and divergence. Principles and working of Ruby, Nd:YAG, He-Ne & Carbon dioxide Lasers with energy level diagram.. Fundamental idea about optical fiber, types of fibers, acceptance angle & cone, numerical aperture, V-number, propagation of light through step index fiber (Ray theory) pulse dispersion, attenuation, losses & various uses.Applications of lasers and optical fibers.

Unit I Quantum Physics:Group and particle velocities & their relationship. Uncertainty principle with elementary proof and applications ( determination of position of a particle by a microscope, non existence of electron innucleus, diffraction of an electron beam by a single slit). Compton scattering. Wave function and its properties, energy and momentum operators, time dependent and time independent Schrödinger wave equation. Application of time independent Schrödinger wave equation to particle trapped in a one dimensional square potential well (derivation of energy eigen values and wave function)

Unit II

Wave Optics:Interference:Fresnel's biprism,Interference in thin films (due to reflected and transmitted light),interference from a wedge shaped thin film,Newton’s rings and Michelson’s interferometer experiments and their applications. Diffraction at single slit, double slit and n-slits (diffraction grating). Resolving power of grating and prism. Concept of polarized light, Brewster's laws, Double refraction, Nicol prism, quarter & half wave plate.

Unit III

Nuclear Physics:Nuclear liquid drop model (semi empirical mass formula), nuclear shell model, Linear Particle

acceleratos :Cyclotron, general description of Synchrotron, Synchrocyclotron, and Betatron. Geiger-Muller Counter, Motion of charged particles in crossed electric and magnetic fields. Uses of Bainbridge and Auston mass Spectrographs.

Unit IV

Solid State Physics:Qualitative discussion of Kronig Penny model (no derivation), Effective mass, Fermi-Dirac statistical distribution function, Fermi level for Intrinsic and Extrinsic Semiconductors, Zener diode, tunnel diode, photodiode, solar-cells, Hall effect.Superconductivity: Meissner effect, Type I and Type II superconductors, Di-electric polarization,Complex permittivity, dielectric losses

UNIT V

Laser and Fiber Optics:Laser: Stimulated and spontaneous processes, Einstein’s A & B Coefficients, transition probabilities, active medium, population inversion, pumping,Optical resonators, characteristics of laser beam.Coherence, directionality and divergence. Principles and working of Ruby, Nd:YAG, He-Ne & Carbon dioxide Lasers with energy level diagram.. Fundamental idea about optical fiber, types of fibers, acceptance angle & cone, numerical aperture, V-number, propagation of light through step index fiber (Ray theory) pulse dispersion, attenuation, losses & various uses.Applications of lasers and optical fibers.

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