The end-semester examination will be of 35 marks and 3 hours duration.
The question paper will consist of three sections: A, B, and C.
Sections A and B: Five questions each, with each question carrying 6 marks.
Section C: Compulsory section with 11 short-answer questions covering the entire syllabus.
🎓 For the Candidates
Students are required to attempt four questions in total from Sections A and B, selecting two questions from each section.
Section C is compulsory.
Use of scientific calculator is allowed.
📘 Syllabus
Section A 🌌
Coordinate Systems:
Cartesian and spherical polar coordinate systems, area, volume, displacement, velocity, and acceleration in these systems. Solid angle, center of mass, and equivalent one-body problem. 📏
Central Forces:
Equation of motion under central force, equation of orbit in inverse square force field, turning points, energy equation, and energy diagram. Kepler's laws and their derivations. 🌠
Frames of Reference:
Inertial frames, Galilean transformations and invariance. Non-inertial frames of reference: centrifugal force and its effect on gravity, Coriolis force and its applications, variation of acceleration due to gravity with latitude. 🔄
Section B 🚀
Rigid Body Motion:
Rotational motion, principal moments and axes, Euler's equations, precession, and elementary gyroscope. 🔧
Special Theory of Relativity:
Postulates, Lorentz transformations, relativity of simultaneity, length contraction, time dilation, relativistic velocity addition, and relativistic Doppler effect. 🌟
Relativistic Mechanics:
Variation of mass with velocity, mass-energy equivalence, relativistic momentum and energy, Minkowski space, and four-vectors. 🌌
Michelson-Morley Experiment:
Concept of stationary universal frame of reference, experiment setup, and its results. 🧪
📚 Books Recommended
Mechanics, Berkeley Physics Course, Vol. I by C. Kittel, W.D. Knight, M.A. Ruderman, Tata McGraw Hill Publication, 1981. 📖
Mechanics, H.S. Hans and S.P. Puri, Tata McGraw Hill, 2003, New Delhi. 📚
Introduction to Classical Mechanics, by R.G. Takwale and P.S. Puranik, Tata McGraw Hill, 2000. 📘