# 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

Appeared in Year: 2011

### 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 |