B.Sc. Physics
6th Semester Syllabus
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MJC-10 : Analytical Mechanics & Special Theory of Relativity (विश्लेषणात्मक यांत्रिकी और सापेक्षता का विशेष सिद्धांत)
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Unit 1: Constraints and Variational Principle (बाधाएं और परिवर्तन सिद्धांत)
◦Holonomic
◦Non Holonomic
◦Scleronomous
◦Rheonomous
◦D'Alembert's Principle
◦Virtual Displacement
◦Principle of virtual work
◦Concept of generalized co-ordinates
◦Derivation of Lagrange's equation from D'Alembert's Principle
◦Simple applications of Lagrange's equations
◦Variational Principle and Hamiltonian formalism: Calculus of variation and its applications
◦Hamilton's Principle
◦Derivation of Lagrange's equations of motion from Hamilton's Principle
◦Velocity-dependent potential
◦Cyclic coordinates
◦Symmetries and conservation laws
◦Legendre transformation
◦Hamilton's equations of motion and its applications
◦Principle of least action
Unit 2: Canonical Transformation (कैनोनिकल परिवर्तन)
◦Canonical transformation and its applications
◦Poisson Brackets
◦Jacobi identity
◦Hamilton-Jacobi equation
◦Action-angle variables
◦Theory of small oscillations
Unit 3: Motion of a Rigid body (दृढ़ पिंड की गति)
◦Euler's Angle
◦Kinematics of rotation
◦Euler's equation of Motion
◦Twisting Torque on a Elastic Cylinder
Unit 4: Special Theory of Relativity (सापेक्षता का विशेष सिद्धांत)
◦Michelson-Morley Experiment and its outcome
◦Postulates of Special Theory of Relativity
◦Lorentz Transformations
◦Lorentz contraction
◦Time dilation
◦Relativistic addition of velocities
◦Variation of mass with velocity
◦Mass less Particles
◦Mass-energy Equivalence Four vectors
Reference Books:
- An introduction to mechanics - Kleppner D., Kolenkow R. J. (McGraw-Hill)
- Mechanics, Berkeley Physics, vol.1 - Kittel C., Knight W., et.al. (Tata Mc Graw-Hill)
- Physics - Resnick, Halliday and Walker, Wiley (8/e)
- Cengage Learning - Fowles G. R. and Cassiday G.L...
- Sands M.Feynman Lectures, Vol. I- FeynmanR. P., Leighton R. B. (Pearson Education)
- Mechanics - Mathur D. S., S.Chand (Company Limited)
- Special Relativity - B.C. Rai
- University Physics - Sears F. W., Zemansky M. W., Young H.D...13/e (Addison Wesley)
- Physics for scientists and Engineers with Modern Phys. - JewettJ. W., Serway R. A. (Cengage Learning)
- Theoretical Mechanics - Spiegel M.R. (Tata McGraw Hill)
- Special Theory of Relativity - S. Chand.
- Relativity - Gupta & Kumar (Pragati Prakashan)