CLUSTER UNIVERSITY OF JAMMU
SYLLABUS – SEMESTER 1st (CBCS) – B.SC PHYSICS
(CORE COURSE)
COURSE CODE : 1PHYTC0101 Page | 1
(EXAMINATION TO BE HELD IN 2017, 2018 AND 2019)
TITLE: MACHANICS, OSCILLATIONS AND RELATIVITY
COURSE CODE : 1PHYTC0101 CREDITS : 04
DURATION OF EXAMINATION TOTAL: 100 Marks
MINOR TEST : 01 Hour MINOR TEST: 20 Marks
MAJOR TEST : 2.5 Hours MAJOR TEST: 80 Marks
OBJECTIVE: The purpose of the course is to train the students in the Newtonian mechanics,
oscillations and relativity.
Unit- I (12 HOURS)
Coordinate Systems: Unit vectors, displacement, velocity, acceleration, area and volume
elements in Cartesian, Spherical Polar and Cylindrical coordinate systems, Plane polar
coordinates, Solid angle.
Frames of Reference: Inertial and non-inertial frames of reference, Galilean transformations,
Galilean invariance, Uniformly rotating frame, Coriolis force and centrifugal forces, Effect of
coriolis force due to rotation of the earth, Coriolis force on a freely falling body, Geographical
effects of coriolis force.
Unit- II (12 HOURS)
Collision of Particles: Concept of centre of mass, Elastic collision in laboratory and centre of
mass systems, Relationship between displacement, velocities, kinetic energies and angles in lab
and centre of mass system.
Motion Under a Central Force: Concept of central and non-central forces, Equivalent one
body problem, Angular momentum conservation in a central force field, Motion in a plane,
Energy of reduced mass and its conservation, Differential equation of the orbit, Turning points
of motion, Relation between eccentricity and energy, Kepler’s laws, Satellite motion,
Geosynchronous orbits, Weightlessness, Basic idea of global positioning system.
Unit- III (12 HOURS)
Oscillations: Simple harmonic motion, Differential equation of SHM and its solution, Kinetic
energy and potential energy of a simple harmonic oscillator, Examples of SHM: compound
pendulum, torsional pendulum, bifilar oscillations, LC circuit, oscillations of two masses
connected by a spring,
Damped oscillations: Differential equation of damped harmonic oscillator and its solution,
Logarithmic decrement, Energy of damped oscillator, Power dissipation, Quality factor,
Relaxation time, Forced oscillations: transient and steady state behavior, Resonance.
Unit- IV (12 HOURS)
Elasticity: Hooke’s law - Stress-strain diagram - Elastic moduli, Relation between elastic
constants, Poisson’s Ratio, Expression for Poisson’s ratio in terms of elastic constants, Work
done in stretching and work done in twisting a wire, Twisting couple on a cylinder, Bending of
beams, Theory of cantilever, Cantilever loaded at one end, Cantilever supported at two ends and
loaded in the middle, Applications of bending of beams, Determination of modulus of rigidity
by static method and moment of inertia by torsion pendulum, Determination of elastic constants
by Searles method.
Unit- V (12 HOURS)
Theory of Relativity: Michelson-Morley experiment. Postulates of special theory of relativity,
Lorentz transformations, Simultaneity of events, Length contraction and time dilation, Twin
paradox, Relativistic addition of velocities, Variation of mass with velocity, Mass-energy
equivalence, Energy-momentum relation, Particles with zero rest mass., Transformation of
momentum and energy, Relativistic Doppler effect.
Reference Books:
1. University Physics. FW Sears, MW Zemansky and HD Young13/e, 1986.
Addison-Wesley
2. Mechanics Berkeley Physics course,v.1: Charles Kittel, et. al. 2007, Tata
McGraw-Hill.
3. Physics – Resnick, Halliday & Walker 9/e, 2010, Wiley
4. Mechanics , D.S.Mathur, S. Chand Publishing.
5. Theory of Relativity, R. Resnick, Wiley Eastern Private Ltd, New Delhi.
6. Physics of Vibrations and Waves, H.J.Pain, John Wiley and Sons.
7. Physics of Waves and Oscillations, N.K.Bajaj, Tata MsGraw Hill.
8. Engineering Mechanics, Basudev Bhattacharya, Oxford University Press.
Damped oscillations: Differential equation of damped harmonic oscillator and its solution,
Logarithmic decrement, Energy of damped oscillator, Power dissipation, Quality factor,
Relaxation time, Forced oscillations: transient and steady state behavior, Resonance.
Unit- IV (12 HOURS)
Elasticity: Hooke’s law - Stress-strain diagram - Elastic moduli, Relation between elastic
constants, Poisson’s Ratio, Expression for Poisson’s ratio in terms of elastic constants, Work
done in stretching and work done in twisting a wire, Twisting couple on a cylinder, Bending of
beams, Theory of cantilever, Cantilever loaded at one end, Cantilever supported at two ends and
loaded in the middle, Applications of bending of beams, Determination of modulus of rigidity
by static method and moment of inertia by torsion pendulum, Determination of elastic constants
by Searles method.
Unit- V (12 HOURS)
Theory of Relativity: Michelson-Morley experiment. Postulates of special theory of relativity,
Lorentz transformations, Simultaneity of events, Length contraction and time dilation, Twin
paradox, Relativistic addition of velocities, Variation of mass with velocity, Mass-energy
equivalence, Energy-momentum relation, Particles with zero rest mass., Transformation of
momentum and energy, Relativistic Doppler effect.
Reference Books:
1. University Physics. FW Sears, MW Zemansky and HD Young13/e, 1986.
Addison-Wesley
2. Mechanics Berkeley Physics course,v.1: Charles Kittel, et. al. 2007, Tata
McGraw-Hill.
3. Physics – Resnick, Halliday & Walker 9/e, 2010, Wiley
4. Mechanics , D.S.Mathur, S. Chand Publishing.
5. Theory of Relativity, R. Resnick, Wiley Eastern Private Ltd, New Delhi.
6. Physics of Vibrations and Waves, H.J.Pain, John Wiley and Sons.
7. Physics of Waves and Oscillations, N.K.Bajaj, Tata MsGraw Hill.
8. Engineering Mechanics, Basudev Bhattacharya, Oxford University Press.
SYLLABUS – SEMESTER 1st (CBCS) – B.SC PHYSICS
(CORE COURSE)
COURSE CODE : 1PHYTC0101 Page | 1
(EXAMINATION TO BE HELD IN 2017, 2018 AND 2019)
TITLE: MACHANICS, OSCILLATIONS AND RELATIVITY
COURSE CODE : 1PHYTC0101 CREDITS : 04
DURATION OF EXAMINATION TOTAL: 100 Marks
MINOR TEST : 01 Hour MINOR TEST: 20 Marks
MAJOR TEST : 2.5 Hours MAJOR TEST: 80 Marks
OBJECTIVE: The purpose of the course is to train the students in the Newtonian mechanics,
oscillations and relativity.
Unit- I (12 HOURS)
Coordinate Systems: Unit vectors, displacement, velocity, acceleration, area and volume
elements in Cartesian, Spherical Polar and Cylindrical coordinate systems, Plane polar
coordinates, Solid angle.
Frames of Reference: Inertial and non-inertial frames of reference, Galilean transformations,
Galilean invariance, Uniformly rotating frame, Coriolis force and centrifugal forces, Effect of
coriolis force due to rotation of the earth, Coriolis force on a freely falling body, Geographical
effects of coriolis force.
Unit- II (12 HOURS)
Collision of Particles: Concept of centre of mass, Elastic collision in laboratory and centre of
mass systems, Relationship between displacement, velocities, kinetic energies and angles in lab
and centre of mass system.
Motion Under a Central Force: Concept of central and non-central forces, Equivalent one
body problem, Angular momentum conservation in a central force field, Motion in a plane,
Energy of reduced mass and its conservation, Differential equation of the orbit, Turning points
of motion, Relation between eccentricity and energy, Kepler’s laws, Satellite motion,
Geosynchronous orbits, Weightlessness, Basic idea of global positioning system.
Unit- III (12 HOURS)
Oscillations: Simple harmonic motion, Differential equation of SHM and its solution, Kinetic
energy and potential energy of a simple harmonic oscillator, Examples of SHM: compound
pendulum, torsional pendulum, bifilar oscillations, LC circuit, oscillations of two masses
connected by a spring,
Damped oscillations: Differential equation of damped harmonic oscillator and its solution,
Logarithmic decrement, Energy of damped oscillator, Power dissipation, Quality factor,
Relaxation time, Forced oscillations: transient and steady state behavior, Resonance.
Unit- IV (12 HOURS)
Elasticity: Hooke’s law - Stress-strain diagram - Elastic moduli, Relation between elastic
constants, Poisson’s Ratio, Expression for Poisson’s ratio in terms of elastic constants, Work
done in stretching and work done in twisting a wire, Twisting couple on a cylinder, Bending of
beams, Theory of cantilever, Cantilever loaded at one end, Cantilever supported at two ends and
loaded in the middle, Applications of bending of beams, Determination of modulus of rigidity
by static method and moment of inertia by torsion pendulum, Determination of elastic constants
by Searles method.
Unit- V (12 HOURS)
Theory of Relativity: Michelson-Morley experiment. Postulates of special theory of relativity,
Lorentz transformations, Simultaneity of events, Length contraction and time dilation, Twin
paradox, Relativistic addition of velocities, Variation of mass with velocity, Mass-energy
equivalence, Energy-momentum relation, Particles with zero rest mass., Transformation of
momentum and energy, Relativistic Doppler effect.
Reference Books:
1. University Physics. FW Sears, MW Zemansky and HD Young13/e, 1986.
Addison-Wesley
2. Mechanics Berkeley Physics course,v.1: Charles Kittel, et. al. 2007, Tata
McGraw-Hill.
3. Physics – Resnick, Halliday & Walker 9/e, 2010, Wiley
4. Mechanics , D.S.Mathur, S. Chand Publishing.
5. Theory of Relativity, R. Resnick, Wiley Eastern Private Ltd, New Delhi.
6. Physics of Vibrations and Waves, H.J.Pain, John Wiley and Sons.
7. Physics of Waves and Oscillations, N.K.Bajaj, Tata MsGraw Hill.
8. Engineering Mechanics, Basudev Bhattacharya, Oxford University Press.
Damped oscillations: Differential equation of damped harmonic oscillator and its solution,
Logarithmic decrement, Energy of damped oscillator, Power dissipation, Quality factor,
Relaxation time, Forced oscillations: transient and steady state behavior, Resonance.
Unit- IV (12 HOURS)
Elasticity: Hooke’s law - Stress-strain diagram - Elastic moduli, Relation between elastic
constants, Poisson’s Ratio, Expression for Poisson’s ratio in terms of elastic constants, Work
done in stretching and work done in twisting a wire, Twisting couple on a cylinder, Bending of
beams, Theory of cantilever, Cantilever loaded at one end, Cantilever supported at two ends and
loaded in the middle, Applications of bending of beams, Determination of modulus of rigidity
by static method and moment of inertia by torsion pendulum, Determination of elastic constants
by Searles method.
Unit- V (12 HOURS)
Theory of Relativity: Michelson-Morley experiment. Postulates of special theory of relativity,
Lorentz transformations, Simultaneity of events, Length contraction and time dilation, Twin
paradox, Relativistic addition of velocities, Variation of mass with velocity, Mass-energy
equivalence, Energy-momentum relation, Particles with zero rest mass., Transformation of
momentum and energy, Relativistic Doppler effect.
Reference Books:
1. University Physics. FW Sears, MW Zemansky and HD Young13/e, 1986.
Addison-Wesley
2. Mechanics Berkeley Physics course,v.1: Charles Kittel, et. al. 2007, Tata
McGraw-Hill.
3. Physics – Resnick, Halliday & Walker 9/e, 2010, Wiley
4. Mechanics , D.S.Mathur, S. Chand Publishing.
5. Theory of Relativity, R. Resnick, Wiley Eastern Private Ltd, New Delhi.
6. Physics of Vibrations and Waves, H.J.Pain, John Wiley and Sons.
7. Physics of Waves and Oscillations, N.K.Bajaj, Tata MsGraw Hill.
8. Engineering Mechanics, Basudev Bhattacharya, Oxford University Press.
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