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SCHEME B.Sc. (PHYSICS) PART-I ( I & II SEMESTER ) Code Title Of Paper LECTURE MAX. MARKS PER WEEK (**) Ist SEMESTER P 1.1.1 Electricity and Magnetism-I 3 50 P 1.1.2 Mechanics-I 3 50 P 1.1.3 Waves and Vibrations-I 3 50 P 1.1.4 Laboratory Practice 3 50 IInd SEMESTER P 1.2.1 Electricity and Magnetism-II 3 50 P 1.2.2 Mechanics-II 3 50 P 1.2.3 Waves and Vibrations-II 3 50 P 1.2.4 Laboratory Practice 3 50 (**) Theory: External Examination = 40 marks Internal Assessment = 10 marks Laboratory : External Examination = 40 Internal Assessment = 10 Total Marks: Ist Sem. = 200 , IInd Sem. = 200 B.Sc-I Semester –I PAPER: ELECTRICITY AND MAGNETISM-I Maximum Marks: External - 40 Internal - 10 Total - Time Allowed: 3 Hours 50 Pass Marks: 35 % Out of 50 Marks, internal assessment based on mid-semester test carries 10 marks, and the final examination at the end of the semester carries 40 marks. Instruction for the Paper Setter: The question paper will consist of five sections A, B, C, D and E. Sections A, B, C, and D will have two questions from respective sections of the syllabus and Section E will have 6 short answer type questions, which will cover the entire syllabus uniformly. All the sections A, B, C, D and E carry equal marks of 8 each. Instruction for the candidates: The candidates are required to attempt one question each from sections A, B, C, and D of the question paper, and the 4 questions carry 2 marks each from section E. SECTION-A Basic Ideas: Basic ideas of vector algebra and calculus of vectors, gradient, divergence, Curl and their physical significance, Laplacian in rectangular and spherical polar co-ordinate, Stoke’s theorem and Gauss’s divergence theorem and its application, Green’s Theorem. SECTION-B Electric Field and Gauss’s law: Coulomb’s law for point charges and continuous distribution of charges. Electric field due to uniformly charged infinite wire, ring and circular disc. Electric field due to infinite charged sheet. Concept of electric dipole and dipole moment, Electric field due to dipole at origin and at any arbitrary point. Electric flux, Gauss’s Law and its application, Gauss law in differential form. SECTION-C Electric Potential and application: Work and potential difference, Potential difference as a line integral of electric field. Electric potential due to a point charge, a group of point charges, dipole and quadruple moments, long uniformly charged wire, charged disc. Electric field as gradient of scalar potential. Potential due to arbitrary charge distribution and multipole moments. Poisson and Laplace’s equation and their solutions in Cartesian coordinate and concept of electrical images. SECTION-D Electric Current: Current and current density, equation of continuity. Microscopic form of ohm’s law and conductivity. Failure of ohm’s law. Fields of Moving charges: invariance of charge. E in different frames of reference. Field of a point charge moving with constant velocity. Interaction between moving charges and force between parallel currents. SECTION-E Spread over the entire syllabus in Sections A-D above TEXT BOOKS 1. Fundamentals of Electricity and Magnetism by Author F. Kipp 2. Introduction to classical Electrodynamics by David J Griffth. 3. Electricity and Magnetism. Berkeley Physics Course by E.M Purcell, McGraw Hill. PAPER: MECHANICS-I Maximum Marks: External - 40 Internal - 10 Total - Time Allowed: 3 Hours 50 Pass Marks: 35 % Out of 50 Marks, internal assessment based on mid-semester test carries 10 marks, and the final examination at the end of the semester carries 40 marks. Instruction for the Paper Setter: The question paper will consist of five sections A, B, C, D and E. Sections A, B, C, and D will have two questions from respective sections of the syllabus and Section E will have 6 short answer type questions, which will cover the entire syllabus uniformly. All the sections A, B, C, D and E carry equal marks of 8 each. Instruction for the candidates: The candidates are required to attempt one question each from sections A, B, C, and D of the question paper, and the 4 questions carry 2 marks each from section E. SECTION-A Co-ordinate systems and motion of a particle: Cartesian, plane polar and spherical polar co-ordinates system, area, volume, velocity and acceleration in these systems, solid angle and its significance. Space time symmetry and conservation laws: Properties of space and time, Relationship of conservation laws and symmetries of space and time. SECTION-B Two body centre force problem: Basic forces in nature, centre of mass, equivalent one body problem, central force, general features of central force motion, equation of motion under central force, equation of orbit and turning points, Keplers law. Problems: Application of differential equation for the orbit in the determination of force law. SECTION-C Frames of reference: Inertial frames of reference, Galilean transformation and Galilean invariance, Non-inertial frames, coriolis force and its application, variation of acceleration due to gravity with latitude, some terrestrial and meteriological manifestations of coriolis force(river flow, formation of cyclones, trade and tropical winds), focault pendulum(qualitative). SECTION-D Collisions and scattering: Laboratory and centre of mass system, elastic collision in lab and centre of mass system, velocities, angles and energies, differential and total scattering cross section of elastic scattering, Rutherford scattering(qualitative). SECTION-E Spread over the entire syllabus in Sections A-D above TEXT BOOKS 1. Mechanics. Berkeley Physics Course by C.Kittle, W.D.Knight and M.A Rudeman 2. Mechanics. H.S Hans & S.P Puri, T.M.H Pub. PAPER: VIBRATION AND WAVES-I Maximum Marks: External - 40 Internal - 10 Total - Time Allowed: 3 Hours 50 Pass Marks: 35 % Out of 50 Marks, internal assessment based on mid-semester test carries 10 marks, and the final examination at the end of the semester carries 40 marks. Instruction for the Paper Setter: The question paper will consist of five sections A, B, C, D and E. Sections A, B, C, and D will have two questions from respective sections of the syllabus and Section E will have 6 short answer type questions, which will cover the entire syllabus uniformly. All the sections A, B, C, D and E carry equal marks of 8 each. Instruction for the candidates: The candidates are required to attempt one question each from sections A, B, C, and D of the question paper, and the 4 questions carry 2 marks each from section E. SECTION-A Simple Harmonic Motion: Simple harmonic motion, equation of simple harmonic motion, Displacement, velocity and acceleration of simple harmonic oscillator, energy SHO. Compound Pendulum. Torsional pendulum, electrical Oscillator. Transverse vibration of mass on a string, composition of two perpendicular SHM of same period and the period in ratio 1: 2. SECTION-B Damped SHM: Decay of free vibrations due to damping. Differential equation of motion, types of damping. Determination of damping co-efficient- Logarithmic decrement, relaxation time and Q- Factor. Electromagnetic damping (Electrical oscillator). SECTION-C Forced Oscillator: Forced vibrations, Transient and steady state behavior, Differential equation for forced mechanical oscillators. Displacement and velocity variation with driving force frequency, variation of phase with frequency resonance. Electrical oscillator. SECTION-D Power supplied to the forced oscillator by the driving force and its variation with frequency, Power dissipated against Frictional force, Behavior of Electrical forced oscillator, Variation of the current and its phase with the frequency of the applied voltage, Q-value and band width. Q-value as an amplification factor SECTION-E Spread over the entire syllabus in Sections A-D above. TEXT BOOKS 1. Fundamentals of Vibrations and Waves by S.P Puri, Tata McGraw- Hill, New Delhi. 2. Physics of Vibrations and Waves by H.J Pain. 3. EM Waves and Radiating Systems by Edward C. Jordon and K.G Balmain. REFERENCE BOOKS Waves and Oscillations, E.Crawford, Berkeley Physics Course, McGraw-Hill Pub. B.Sc-I Semester –II PAPER: ELECTRICITY AND MAGNETISM-II Maximum Marks: External - 40 Internal - 10 Total - Time Allowed: 3 Hours 50 Pass Marks: 35 % Out of 50 Marks, internal assessment based on mid-semester test carries 10 marks, and the final examination at the end of the semester carries 40 marks. Instruction for the Paper Setter: The question paper will consist of five sections A, B, C, D and E. Sections A, B, C, and D will have two questions from respective sections of the syllabus and Section E will have 6 short answer type questions, which will cover the entire syllabus uniformly. All the sections A, B, C, D and E carry equal marks of 8 each. Instruction for the candidates: The candidates are required to attempt one question each from sections A, B, C, and D of the question paper, and the 4 questions carry 2 marks each from section E. SECTION-A Magnetic field and its application: Lorentz force. Definition of B. Biot Savart’s Law and its application to long straight wire, circular current loop and solenoid. Ampere’s Circuital law and its application. Divergence and curl of B. Hall effect expression and coefficient. Vector potential, Definition and derivation of current density and its use in calculation of change in magnetic field at a current sheet. SECTION-B Electromagnetic Induction: Faraday’s law of Electromagnetic Induction. Displacement current. Maxwell’s equation. Self and mutual inductance and reciprocity theorem. Self inductance L for solenoid. Coupling of Electrical circuits. Analysis of LCR series and parallel resonant circuits. Q-factor. Power consumed. Power factor. SECTION-C Magnetic Fields in Matter: Behaviour of various substances in magnetic field. Definition of M and H and their relation to free and bound currents. Permeability and susceptibilities and their inter-relationship. Orbital motion of electrons and diamagnetism. Electron spin and paramagnetism. Ferromagnetism. Domain theory of Ferromagnetism. Hysteresis Loss. Magnetisation curve. SECTION-D Electrostatic fields in dielectrics: Dielectrics, Response of dielectric material to external electric field and electric field due to polarization of dielectric. Dielectric constant, relation between dielectric constant and electric susceptibility. Atomic polarizability. Gauss’s law of dielectric. Electric displacement vector, Integral form of Gauss’s law of dielectrics. Electric field due to a point charge immersed in a dielectric. SECTION-E Spread over the entire syllabus in Sections A-D above TEXT BOOKS 1. Fundamentals of Electricity and Magnetism by Author F. Kipp 2. Introduction to classical Electrodynamics by David Griffth. 3. EM Waves and Radiating Systems by Edward C. Jordon and K.G Balmain. PAPER: MECHANICS-II Maximum Marks: External - 40 Internal - 10 Total - Time Allowed: 3 Hours 50 Pass Marks: 35 % Out of 50 Marks, internal assessment based on mid-semester test carries 10 marks, and the final examination at the end of the semester carries 40 marks. Instruction for the Paper Setter: The question paper will consist of five sections A, B, C, D and E. Sections A, B, C, and D will have two questions from respective sections of the syllabus and Section E will have 6 short answer type questions, which will cover the entire syllabus uniformly. All the sections A, B, C, D and E carry equal marks of 8 each. Instruction for the candidates: The candidates are required to attempt one question each from sections A, B, C, and D of the question paper, and the 4 questions carry 2 marks each from section E. SECTION-A Rigid Body motion: Rotational motion, Moment of inertia of rigid body, Theorem of parallel and perpendicular axes(definition only), Angular momentum of rigid body about principal axes and moment of inertia tensor, kinetic energy of rotation of a rigid body about principal axes, precession and elementary gyroscope. SECTION-B Special Theory of Relativity: Postulates of special theory of relativity, Lorentz transformation, Observer and viewer in relativity, Relativity of distant simultaneity, Length contraction, Time dilation and twin paradox, Relativistic addition of velocities, Relativistic Doppler effect. SECTION-C Special relativity: Concept of variation of mass with velocity, Relativistic mass variation formula, Mass energy equivalence, Increase of mass in an inelastic collision, Relativistic momentum and energy and their transformation, concept of Minkowski space, four vector formulation. SECTION-D Conservation laws of linear, angular momentum and energy for a single particle and system of particles, Constraints and generalized coordinates, Lagrange's equations of motion Problems: Lagrangian and equations of motion for systems like motion of single particle in space, on the surface of a sphere, cone & cylinder TEXT BOOKS 1. Mechanics. Berkeley Physics Course by C.Kittle, W.D.Knight and M.A Rudeman 2. Mechanics. H.S Hans & S.P Puri, T.M.H Pub. 3. Classical Mechanics, H. Goldstein, Narosa Publishing House, New Delhi. Reference Book Classical Mechanics, N.C. Rana and P.S. Joag, Tata McGraw-Hill, N. Delhi, 1991 PAPER: VIBRATION AND WAVES-II Maximum Marks: External - 40 Internal - 10 Total - Time Allowed: 3 Hours 50 Pass Marks: 35 % Out of 50 Marks, internal assessment based on mid-semester test carries 10 marks, and the final examination at the end of the semester carries 40 marks. Instruction for the Paper Setter: The question paper will consist of five sections A, B, C, D and E. Sections A, B, C, and D will have two questions from respective sections of the syllabus and Section E will have 6 short answer type questions, which will cover the entire syllabus uniformly. All the sections A, B, C, D and E carry equal marks of 8 each. Instruction for the candidates: The candidates are required to attempt one question each from sections A, B, C, and D of the question paper, and the 4 questions carry 2 marks each from section E. SECTION-A Coupled oscillator: Stiffness coupled oscillator, Normal co-ordinates and normal modes of vibration, Frequencies and configuration of the normal modes of the oscillations of stiffness coupled oscillator, Energy transfer in coupled oscillations, inductance coupling of electrical oscillators. SECTION-B Wave motion: Types of waves, Wave equation (transverse) and its solution, Characteristic impedance of a string. Impedance matching, Reflection and transmission of wave at boundary. Reflection and transmission of energy. Reflected and transmitted energy coefficients. Standing waves on a string of fixed length. SECTION-C Electromagnetic waves: Concept of electromagnetic waves, Comparison between EM and Mechanical waves, displacement current, Maxwell’s equation and its physical interpretation, E.M waves and wave equation in a medium having finite permeability and permittivity but with zero conductivity. Transverse nature of EM waves. Poynting vector. Impedance of a dielectric to EM waves, EM waves in conducting medium and skin depth. SECTION-D EM wave velocity in a conductor and anomalous dispersion. Response of a conducting medium of EM waves. Reflection and transmission of EM waves at a boundary of two dielectric media for normal incidence. Reflection of EM waves from the surface of a conductor at normal incidence. SECTION-E Spread over the entire syllabus in Sections A-D above. TEXT BOOKS 1. Fundamentals of Vibrations and Waves by S.P Puri, Tata McGraw- Hill, New Delhi. 2. Physics of Vibrations and Waves by H.J Pain. 3. EM Waves and Radiating Systems by Edward C. Jordon and K.G Balmain.