Electromagnetic Theory-Scalar and Vector Potentials (CSIR Physical Sciences): Questions 10 - 10 of 10

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Question number: 10

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2011

MCQ▾

Question

The Lagrangian of a particle of charge Equation and mass m in applied electric and magnetic field is given by Equation , where Equation and Equation are the vector and scalar potentials corresponding to the magnetic and electric fields, respectively. Which of the following statement is correct? (June)

Choices

Choice (4) Response

a.

Under a gauge transformation of the potentials, L changes by the total time derivative of a function of Equation and Equation .

b.

The canonically conjugate momentum of the particle is given by Equation

c.

L remains unchanged under a gauge transformation of the potentials

d.

The Hamiltonian of the particle is given by Equation

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