Unit-I
1.1 Physical Laws and1.2 Frames of Reference:
1.3 Galilean transformations and
1.5 Fictitious force,
- Transformation of displacement, velocity and acceleration, force,
- Motion relative to earth,
- Centrifugal Force (Effect of rotation of earth on ‘g’)
- Coriolis Force:
- If particles moving horizontally on earth
- If particles moving vertically on Earth
- Foucault’s pendulum and its time period.
Unit-II
Conservation Laws
Dynamics of Particles:
Dynamics of Particles:
- Concept of centre of mass,
- Centre of mass of a system of particles,
- Equation of motion,
- Conservation of linear momentum,
- Relationship between (Lab and center of Mass frames in 1-D and 2-D reference)
- Elastic and inelastic collision,
Motion in a central force field,
- Conservation of angular momentum,
- Trajectory of a particle under gravitational force,
- Kepler’s laws,
- Rutherford’s formula.
- Equation of motion of a rotating body,
- Inertial coefficient,
- Moments of Inertia theorems,
- idea of principal axes and kinetic energy of rotation.
- Spin precession in constant magnetic field,
- Larmor’s frequency.
Unit III
Properties of Matter:
- Elasticity, stress and strain,
- Hooke’s Law,
- Elastic constants and their relations,
- Theory of bending of beams and torsion of a cylinder, Cantilever, cantilever supported at both ends.
- Bending of beam and
- Searle’s method,
- modulus of rigidity by
- static and
- dynamic method,
- Poisson’s ratio for rubber.
Unit IV
Oscillations:
- Qualitative idea of Oscillations in an arbitrary potential well,
- simple harmonic motion, coupled oscillator,
- Energy transfer,
- normal modes,
- normal coordinates of two linear coupled oscillators,
- Example of Ballistic galvanometer,
- Forced harmonic oscillators,
- phase relations,
- power absorption,
- resonance,
- bandwidth and quality factor,
- LCR series and parallel circuits.
Unit-V (Waves)
General equation of one-dimensional wave equation and its solution,
- longitudinal and
- transverse waves,
- its energy density,
- energy flux and
- intensity,
Equation of motion for one-dimensional
- monatomic &
- diatomic lattices,
- acoustic and
- optical modes,
- dispersion relations,
List of Experiments
1.Study of bending of a beam and determination of Young’s modulus.
2.Modulus of rigidity by statical method and dynamical method.
3.Elastic constant by Searle’s method.
4. Study of frequency of energy transfer as a function of coupling strength using coupled oscillator.
5.Determination of dispersive power of material of a prism using spectrometer.
6.Measurement of wavelength of monochromatic source of light by Newton’s rings.
7.Measurement of wavelength of monochromatic source of light by plane transmission grating.
8.Measurement of wavelength of monochromatic source of light by biprism.
9. Study of specific rotation by polarimeter.
10. Determination of resolving power of a plane transmission grating.
11. Determination of resolving power of telescope.
12. Determination of the Poisson’s ratio of rubber tube.
13. Any experiment, equivalent to the UG level.