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Classical Mechanics July 4, 2019
| Final Examination-PART-A |
Instructions
| 1 | Answers for Part-A to be written on this sheet itself. |
| 2 | The answers for PART-B are to be written in a separate answer book. |
| 3 | Maximum Time for Part-A is 30 mins. |
| 4 | Attempt ALL questions from Part-A. |
- Define generalized coordinates. How many generalized coordinates are required for a bead moving on the surface of a sphere? What coordinates will you use?
- For a particle in three dimensional potential \(\lambda r^4\), write expression of effective potential and plot \(V_\text{eff}(r)\) against \(r\) for non-zero angular momentum.
- Define canonical transformation in two different ways.
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