Physics : Oscillations, Waves and Sound
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1. Undamped Free Oscillations |
1. Undamped Free Oscillations
1. Different types of equilibria (static, dynamic, stable, unstable, and metastable equilibrium) –
definitions only with examples.
2. Definitions of linear Simple Harmonic Motion (S.H.M) and angular S.H.M.
3. Differential equation for linear S.H.M. and its solution.
4. Composition of two perpendicular linear S.H.Ms. for frequency ratio 1:1 and 2:1 (analytical
method).
5. Lissajous figures, their demonstration (optical and electrical method) and applications. and Problems.
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2. Damped Oscillations |
2. Damped Oscillations 1.Introduction
2. Differential equation for damped harmonic oscillator and its solution, discussion of different
cases.
3. Logarithmic decrement.
4. Average energy of damped harmonic oscillator.
5. Quality factor.
6. Application: LCR series circuit. and Problems.
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3. Forced Oscillations |
3. Forced Oscillations
1.Introduction.
2. Differential equation for forced oscillations and its solution.
3. Resonance: mechanical, acoustic and electrical.
4. Velocity and Amplitude resonance.
5. Sharpness of resonance and half width.
6. Average energy of forced oscillator.
7. Quality factor of forced oscillator.
8. Relation between quality factor and bandwidth.
9. Application of forced oscillations- LCR series circuit. and Problems.
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4. Wave Motion |
4. Wave Motion
1. Introduction
2. Equation for longitudinal waves and its solution (one dimension only).
3. Equation for transverse waves and its solution (one dimension only).
4. Energy density and intensity of a wave.
5. Qualitative discussion of seismic waves and gravitational waves. and Problems
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5. Sound and Doppler Effect |
5. Sound and Doppler Effect
1. Definition of sound Intensity, Loudness, Pitch, Quality and timbre.
2. Reverberation time and reverberation of hall.
3. Sabine’s formula (without derivation).
4. Doppler Effect in sound, Expression for apparent frequency in different cases.
5. Asymmetric nature of Doppler Effect in sound.
6. Doppler Effect in light, Symmetric nature of Doppler Effect in light.
7. Applications: Radar, Speed of distant star, Rotational speed of binary star, Red Shift and Width
of spectral line. and Problems.
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