# Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 15 - 20 of 76

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## Question 15

Appeared in Year: *2012*

### Question

MCQ▾Identify the correct statement for the vectors and

### Choices

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

a. | The vectors and are normalized | |

b. | The vectors and are orthogonal | |

c. | The vectors and are linearly independent | |

d. | The vectors and linearly dependent |

## Question 16

Appeared in Year: *2012*

### Question

MCQ▾The value of the integral , using the contour of circle with unit radius is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 17

Appeared in Year: *2012*

### Question

MCQ▾The number of independent component of the symmetric with indices is –

### Choices

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

a. | 9 | |

b. | 1 | |

c. | 3 | |

d. | 6 |

## Question 18

Appeared in Year: *2013*

### Write in Short

Short Answer▾For the function , the residue at the pole is (your answer should be an integer) ________.

## Question 19

Appeared in Year: *2013*

### Question

MCQ▾Which of the following pairs of the given function and its Laplace transform is NOT CORRECT?

### Choices

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

a. | ||

b. | ||

c. | (Singularity at + 0) | |

d. |