Electromagnetic Theory-Scalar and Vector Potentials (CSIR Physical Sciences): Questions 10 - 10 of 10
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 389 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.
Rs. 250.00 or
Question number: 10
» Electromagnetic Theory » Scalar and Vector Potentials
Appeared in Year: 2011
The Lagrangian of a particle of charge and mass m in applied electric and magnetic field is given by , where and are the vector and scalar potentials corresponding to the magnetic and electric fields, respectively. Which of the following statement is correct? (June)
Under a gauge transformation of the potentials, L changes by the total time derivative of a function of and .
The canonically conjugate momentum of the particle is given by
L remains unchanged under a gauge transformation of the potentials
The Hamiltonian of the particle is given by