Electromagnetic Theory-Scalar and Vector Potentials (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 10 - 10 of 10

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Question number: 10

» Electromagnetic Theory » Scalar and Vector Potentials

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Appeared in Year: 2011

MCQ▾

Question

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)

Choices

Choice (4)Response

a.

L remains unchanged under a gauge transformation of the potentials

b.

The Hamiltonian of the particle is given by

c.

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

d.

The canonically conjugate momentum of the particle is given by

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