# Mathematical Physics (GATE Physics): Questions 6 - 9 of 39

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## Question number: 6

» Mathematical Physics » Elements of Complex Analysis » Cauchy-Riemann Conditions

Appeared in Year: 2014

### Question

The matrix is –

### Choices

Choice (4) | Response | |
---|---|---|

a. | Symmetric | |

b. | Anti – symmetric | |

c. | Unitary | |

d. | Orthogonal |

## Question number: 7

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2015

### Question

A function satisfies the ordinary differential equation , where Consider the four statements P, Q, R, S as given below.

P: and are linearly independent solution for all values of

Q: and are linearly independent solution for all values of

R: and 1 are linearly independent solution for

S: and are linearly independent solution for all values of

The correct option for the combination of valid statements is –

### Choices

Choice (4) | Response | |
---|---|---|

a. | P, R and S | |

b. | Q and R | |

c. | P and R | |

d. | R and S |

## Question number: 8

» Mathematical Physics » Vector Calculus

Appeared in Year: 2014

### Write in Short

If the vector potential

satisfies the Coulomb gauge, the value of the constant is ________.

## Question number: 9

» Mathematical Physics » Fourier Analysis

Appeared in Year: 2015

### Question

The Heaviside function is defined as,

And its Fourier transform is given by . The Fourier transform of, is –

### Choices

Choice (4) | Response | |
---|---|---|

a. |
| |

b. |
| |

c. |
| |

d. | 0 |