# Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 32 - 37 of 76

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## Question 32

## Question 33

Appeared in Year: *2013*

### Question

MCQ▾is a symmetric periodic function of i.e.. . Then, in general, the Fourier series of the function will be of the form,

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

### Passage

Consider a function of a complex variable .

## Question 34 (1 of 2 Based on Passage)

Appeared in Year: *2011*

### Question

MCQ▾Which of the following statements is true for function ?

### Choices

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

a. | has a zero at | |

b. | has a pole of order 2 at | |

c. | is analytic everywhere in the complex plane | |

d. | has a simple pole at |

## Question 35 (2 of 2 Based on Passage)

Appeared in Year: *2011*

### Question

MCQ▾Consider a counterclockwise circular contour about the origin. The integral over this contour is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 36

## Question 37

Appeared in Year: *2010*

### Question

MCQ▾The value of the integral , where the contour is the unit circle | |= 1 is –

### Choices

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

a. | ||

b. | ||

c. | 0 | |

d. |