Syllabus

Oscillations

Harmonic oscillations Damped harmonic motion Derivation of differential equation and its solution Over damped, Critically damped and Under damped Cases Quality factor-Expression Forced oscillations Differential Equation-Derivation of expressions for amplitude and phase of forced oscillations Amplitude Resonance-Expression for Resonant frequency, Expression for Resonant frequency, Quality factor and Sharpness of Resonance Electrical analogy of mechanical oscillators

Waves

Wave motion Derivation of one dimensional wave equation and its solution Three dimensional wave equation and its solution (no derivation) Distinction between transverse and longitudinal waves Transverse vibration in a stretched string Statement of laws of vibration

Interference

Interference of light Principle of superposition of waves Theory of thin films - Cosine law (Reflected system) Derivation of the conditions of constructive and destructive Interference Interference due to wedge shaped films Determination of thickness and test for optical planeness Newton’s rings Measurement of wavelength and refractive index Antireflection coatings

Diffraction

Diffraction of light Fresnel and Fraunhofer classes of diffraction Diffraction grating Grating equation Rayleigh criterion for limit of resolution Resolving and Dispersive power of a grating with expression (no derivation)

Quantum Mechanics

Introduction for the need of Quantum mechanics Wave nature of Particles Uncertainty principle Applications-Absence of electrons inside a nucleus and Natural line broadening Mechanism Formulation of time dependent and independent Schrodinger wave equations-Physical Meaning of wave function Particle in a one dimensional box- Derivation for normalised wave function and energy eigen values Quantum Mechanical Tunnelling (Qualitative)

Nanotechnolgy

Introduction to nanoscience and technology Increase in surface to volume ratio for nanomaterials Quantum confinement in one dimension, two dimension and three dimension-Nano sheets, Nano wires and Quantum dots Properties of nanomaterials-mechanical, electrical and optical Applications of nanotechnology (qualitative ideas)

Acoustics

Acoustics Classification of sound-Musical sound-Noise Characteristics of Musical Sounds-Pitch or frequency-Loudness or Intensity-Measurement of Intensity level-Decibel-Quality or timbre Absorption coefficient Reverberation Reverberation time-Significance Sabine’s formula Factors affecting architectural acoustics and their remedies

Ultrasonics

Ultrasonics Production- Magnetostriction effect and Piezoelectric effect Magnetostriction oscillator Piezoelectric oscillator Detection of ultrasonic waves - Thermal and Piezoelectric methods Ultrasonic diffractometer- Expression for the velocity of ultrasonic waves in a liquid Applications of ultrasonic waves SONAR NDT and Medical

LASER

Properties of laser Absorption and emission of radiation Spontaneous and stimulated emission Einstein’s coefficients (no derivation) Population inversion Metastable states Basic components of laser Active medium Pumping mechanism Optical resonant cavity, working principle Construction and working of Ruby laser Construction and working of Helium neon laser Construction and working of semiconductor laser (Qualitative) Applications of laser

Holography

Holography Difference between hologram and photograph Recording of hologram Reconstruction of image Applications

Fibre Optics

Optic fibre Principle of propagation of light Types of fibres Step index and Graded index fibres Numerical aperture Derivation Fibre optic communication system Block diagram Industrial, Medical and Technological applications Fibre optic sensors Intensity Modulated and Phase modulated sensors