The end-semester examination will be of 35 marks and 3 hours duration.
The question paper will consist of three sections: A, B, and C.
Sections A and B: Five questions each, with each question carrying 6 marks.
Section C: Compulsory section with 11 short-answer questions covering the entire syllabus.
🎓 For the Candidates
Students are required to attempt four questions in total from Sections A and B, selecting two questions from each section.
Section C is compulsory.
Use of scientific calculator is allowed.
📘 Syllabus
Section A 🔄
Simple Harmonic Motion (SHM):
Differential equation, energy of SHM, electrical oscillations, and superposition of SHM. Damped oscillations: types, damping coefficient, logarithmic decrement, relaxation time, and quality factor. Electromagnetic damping and forced oscillations. Q value and bandwidth of forced oscillators. 🕒
Forced Oscillations:
Differential equation for mechanical and electrical oscillators, transient and steady-state oscillations. Q value as an amplification factor for low-frequency response. 🌀
Section B 🌊
Coupled Oscillators:
Stiffness coupling, normal coordinates, normal modes of vibration, and inductance coupling in electrical oscillators. 🧭
Waves:
Types of waves, transverse wave equation and its solution, string as a forced oscillator, characteristic impedance, energy transport in transverse waves, reflection and transmission of waves. Standing waves on a string, energy of vibrating strings, wave velocity, and group velocity. ⚡
📚 Books Recommended
Physics of Vibrations and Waves, by H.J. Pain, Wiley & Sons, New Delhi. 📖
Fundamentals of Vibrations and Waves, by S.P. Puri, Tata McGraw Hill, New Delhi. 📚
Waves and Oscillations, by E. Crawford, Berkeley Physics Course, McGraw-Hill Publications. 📘
📝 Previous Year Question Papers of Waves and Vibrations