Oscillations and Waves

Paper Code:

PHY 211

Credits:

Contact Hours:

45.00

Max. Marks:

100.00

Objective:

This course will enable the students to -

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 skills to solve problems related to waves and oscillations and apply the same to practical situations.

Course Outcomes (COs):

Course	Learning outcome (at course level)	Learning and teaching strategies	Assessment Strategies
Course Code	Course Title
PHY 211	Oscillations and waves (Theory)	The students will be able to – CO38: Understand physical characteristics of SHM, and obtaining solution of the oscillator using differential equations. CO39: Solve for the solutions and describe the behavior of a damped, driven and coupled harmonic oscillator in both time and frequency domains. CO40: Calculate logarithmic decrement relaxation factor and quality factor of a harmonic oscillator. CO41: Analyse and implement Fourier series. CO42: Explain wave equation and understand significance of electromagnetic waves . CO43: Describe the applications of transverse and longitudinal waves.	Approach in teaching: Demonstration, Group activity, Discussion ,Conduction of Experiments, asking Viva-voce questions. Learning activities for the students: Performing Experiments, observations, Analysis and interpretation of results, Performing experiments ,Team activity, simulation, small animated games to develop Additional learning through MOOC courses.	Class test, Semester end examinations, Quiz, Solving problems , Assignments, Presentations

Course

Learning outcome

(at course level)

Learning and teaching strategies

Assessment Strategies

Course Code

Course Title

PHY 211

Oscillations and waves

(Theory)

The students will be able to –

CO38: Understand physical characteristics of SHM, and obtaining solution of the oscillator using differential equations.

CO39: Solve for the solutions and describe the behavior of a damped, driven and coupled harmonic oscillator in both time and frequency domains.

CO40: Calculate logarithmic decrement relaxation factor and quality factor of a harmonic oscillator.

CO41: Analyse and implement Fourier series.

CO42: Explain wave equation and understand significance of electromagnetic waves .

CO43: Describe the applications of transverse and longitudinal waves.

Approach in teaching: Demonstration, Group activity, Discussion ,Conduction of Experiments, asking Viva-voce questions.

Learning activities for the students:

Performing Experiments, observations, Analysis and interpretation of results, Performing experiments ,Team activity, simulation, small animated games to develop

Additional learning through MOOC courses.

Class test, Semester end examinations, Quiz, Solving problems , Assignments, Presentations

9.00

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

9.00

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:

“The Physics of Waves and Oscillations”, N.K.Bajaj, Tata Mc Graw Hill Publishing Co., 2003.
“Oscillations, waves and electromagnetism”, Satya Prakash, Pragati Prakashan, Meerut.
“Fundamental University Physics”, Vol I and II , M.Alonso & J.Finn, Addisson Wiesley.
“Vibrations and Waves”, A.P. French, CBS Publication and Distributors.
“Berkeley Physics Course”, Vol. I , New York, Mc Graw Hill.

Suggested Readings:

“Vibrations and waves”, I.G. Main ,Cambridge University Press.
“The Physics of Vibrations and Waves”, H.J.Pani, John Wiley & Sons.
“Fundamentals of vibrations and Waves”, S.P.Puri, Tata Mc. Graw Hill Pub. Co.,NewDelhi.
“Oscillations and Waves”,K.S.Sharma, M.K.Saxena and G.R.Chhabra ,Rajasthan Hindi Granth Academy, Jaipur.
“Waves and Oscillations”,N.Subramanyam,Vikas Publishing house.

E-Content:

https://nptel.ac.in/courses/115105083

https://nptel.ac.in/courses/115106119

Academic Year:

2022-2023