GATE Classical Mechanics: canonical transformations: Poisson bracket. Special theory of relativity: Lorentz transformations, relativistic kinematics, mass-energy equivalence. – Previous Year Questions
9 GATE previous year questions on canonical transformations: Poisson bracket. Special theory of relativity: Lorentz transformations, relativistic kinematics, mass-energy equivalence. (Classical Mechanics, Physics) with answers and explanations, from every paper.
- GATE 2022 PH Q54 – For time-independent H and constants of motion f,g, which Poisson brackets always vanish?
- GATE 2022 PH Q55 – In action-angle variables, H=4I 1I 2, 0 1, 2<2, and I 1/I 2=1/2. Which plotted trajectories are possible?
- GATE 2022 PH Q61 – Two particles of rest mass m 0 approach at velocities 0.5c. One has energy m 0c2 in the other rest frame. Find alpha to two decimals.
- GATE 2023 PH Q40 – A rod PQ of proper length L lies along the x-axis and moves towards the positive x direction with speed v= 3c 5 with respect to the ground (see…
- GATE 2026 PH Q35 – A rocket of length 18.0 m is moving at speed 0.9c (where c is the speed of light) parallel to its own length, relative to the earth. The length of the…
- GATE 2025 PH Q53 – For a one-dimensional Hamiltonian system, consider the canonical transformation (q,p)(Q=1/p,P=qp2). Which generating function(s) is/are correct?
- GATE 2025 PH Q54 – The energy of a free relativistic particle of rest mass m moving along x is T. In a potential V(x), H=T+V(x). With speed v, momentum p and Lagrangian…
- GATE 2024 PH Q11 – If F 1(Q,q)=Qq generates a canonical transformation from (p,q) to (P,Q), which relation is correct?
- GATE 2024 PH Q25 – Two spacecraft fly apart along x with individual speeds 0.5c in an inertial frame. The speed of T with respect to S is