Elasticity – Stress, strain – Poisson’s ratio – Hooke’s law –Force constant – Moduli of elasticity – Young’s modulus, Bulk modulus and Rigidity modulus – Bending of a beam – Bending moment – Uniform and Non uniform Bending – Theory and experiment – Determination of Poisson’s ratio – Torsional pendulum – Determination of moment of inertia – Coefficient of Rigidity ‘n’ for a wire - section girders
Surface Tension: Definition and dimensions - Excess of pressure over curved surfaces - Application to spherical and cylindrical drops and bubbles - Variation of Surface tension with temperature - Jaegar's method. Viscosity: Co-efficient of viscosity 'η' and its dimensions - Rate of flow of liquid in a capillary tube - Poiseuilles' formula – Experimental determination of 'η' for a liquid- Poiseulle's method - Motion in a viscous medium- Experimental determination of 'η' by Stoke's method - Variation of viscosity of a liquid with temperature - Applications of viscosity.
Simple Harmonic Motion: Differential equation governing SHM – Graphical representation –Average kinetic energy, Conservation of total energy –Time period of oscillation with simple pendulum and loaded spring motion as examples – SHM of mass between two springs fixed at one end -Principle of superposition – Beats – Composition of two simple harmonic vibrations acting at right angles (a) with equal periods and (b) with periods in ratio 1:2 –Lissajous figures Damped Harmonic Oscillator: Differential equation, Solutions in the overdamped, critical and underdamped cases – Power dissipation –Damped forced oscillator – Resonance – Quality factor –Anharmonic oscillator Fourier’s theorem – Application to saw tooth wave and square wave.
Transverse Waves: The transverse wave equation – Solution of the transverse wave equation – Standing waves on a string of fixed length – Energy of a vibrating string – Standing wave ratio – Wave group and group velocity. Longitudinal waves: Characteristics, Sound waves in gases – Energy distribution in sound waves – Intensity of sound waves – Reflection and transmission of sound waves at boundaries – Noise and music – Limits of human audibility – The decibel unit – Diffraction of sound waves –Doppler effect.
Acoustics: Acoustics of buildings : Reverberation and time of reverberation – Absorption coefficient – Sabine’s Formula – Measurement of reverberation time – Acoustic aspects of halls and auditoria. Ultrasonics: Ultrasonic waves – Properties - Production – Piezoelectric crystal method – Magnetostriction Method – Deduction methods - Applications of ultrasonics.
Reference Book:
1. H. J. Pain, The Physics of Vibrations and Waves, John Wiley, (2005), 6th Edition 2. David Halliday, Robert Resnick and Jearl Walker, Fundamentals of Physics, John Wiley & Sons , New Delhi , 9th Edition , 2010
Text Book:
1. D. S. Mathur, Elements of Properties of Matter, S. Chand & Co., New Delhi, 2010.(Unit I-III) 2. Brijlal and N. Subrahmanyam, Sound, Vikas Publishing, Second revised edition, 1999 (Unit III-V).