Oscillation and Waves

Paper Code: 
PHY-211
Credits: 
03
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

To familiarize the students with motion of different types of oscillators and also with wave motion in different medium. This will enable the students to develop abilities and skill to solve  problems related to waves and oscillations.

10.00
Unit I: 
Simple harmonic and damped oscillator

Simple harmonic motion, Differential equation of simple harmonic motion, examples:-mass on a spring, Torsional oscillator. LC Circuit, Potential energy curve and small oscillations in one dimensional potential well, Energy of oscillations, mass and two spring system.

 Damped harmonic oscillator, Mathematical formulation of damped harmonic oscillator, Energy of damped oscillator, Power dissipation, Relaxation time, Quality factor of damped  harmonic oscillator

8.00
Unit II: 
Driven harmonic oscillator

Driven harmonic oscillator , Mathematical formulation of driven harmonic oscillator , Frequency response on amplitude and phase, Quality factor of driven oscillator, Resonance, Sharpness of resonance, Power absorption by forced oscillator, Series and parallel LCR circuit.

 

 

9.00
Unit III: 
Coupled oscillators

Equation of motion of two coupled simple harmonic oscillators, Normal modes, motion in mixed modes ,dynamics of a linear chain of coupled oscillators with nearest neighbor interaction, Energy transfer between modes, Electrically coupled circuits (capacitive and inductive), Reflected impedance, effect of coupling and resistive load.

 

9.00
Unit IV: 
Lattice vibrations and Fourier analysis

Equation of motion for one dimensional monatomic and diatomic lattice, acoustic and optical modes, dispersion relation, concept of group and phase velocities, Fourier Analysis of square, saw tooth and triangular wave forms. 

9.00
Unit V: 
Wave motion

Wave equation, Transverse waves in a string, Elastic waves in a solid rod, Pressure waves in a gas column, Plane electromagnetic waves, Energy and Momentum of EM waves, Radiation pressure,Radiation resistance of free space.

 

Essential Readings: 
  1. “The Physics of Waves and Oscillations”, N.K.Bajaj, Tata Mc Graw Hill Publishing Co., 2003.
  2. “Oscillations, waves and electromagnetism”, Satya Prakash, Pragati Prakashan, Meerut.
References: 
  1.  “Fundamental University Physics”, Vol  I and II , M.Alonso & J.Finn, Addisson Wiesley.
  2. “Vibrations and Waves”, A.P. French, CBS Publication and Distributors.
  3. “Berkeley Physics Course”, Vol. I , New York, Mc Graw Hill.
  4. “Vibrations and waves”, I.G. Main ,Cambridge University  Press.
  5. “The Physics of Vibrations and Waves”, H.J.Pani, John Wiley & Sons.
  6. “Fundamentals of vibrations and Waves”, S.P.Puri, Tata Mc. Graw Hill Pub. Co.,NewDelhi.
  7. “Oscillations and Waves”,K.S.Sharma, M.K.Saxena and G.R.Chhabra ,Rajasthan Hindi Granth Academy, Jaipur.
  8. “Waves and Oscillations”,N.Subramanyam,Vikas Publishing house.
Academic Year: 
2019-2020
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