# Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 49 - 56 of 76

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### Passage

One of the eigenvalues of the matric is .

## Question 49 (1 of 2 Based on Passage)

## Question 50 (2 of 2 Based on Passage)

## Question 51

Appeared in Year: *2007*

### Question

MCQ▾If , then –

### Choices

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

a. | and | |

b. | and | |

c. | and | |

d. | and |

## Question 52

Appeared in Year: *2007*

### Question

MCQ▾Inverse Laplace transform of is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 53

Appeared in Year: *2007*

### Question

MCQ▾The contour integral is to be evaluated on a circle of radius centered at the origin. It will have contributions only from the points –

### Choices

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

a. | and | |

b. | and | |

c. | and | |

d. | and |

## Question 54

Appeared in Year: *2007*

### Question

MCQ▾Consider a vector in the coordinate system . The axes are rotated anti – clock wise about the axis by an angle of . The vector in the rotate coordinate system is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |