Theoretical Physics (Fields and Particles)
1) Lagrangian mechanics
2) Hamiltonian mechanics
3) Electrodynamics in vacuum
4) Electromagnetic waves
5) Special theory of relativity
There are similar tasks with solutions already posted here, but I'm not sure if they are correct. I would appreciate a step-by-step explanation of how to solve the problem. Please only help if you are confident in your ability to do so. If you encounter any uncertainties while solving the problem, please let me know.