# Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 1 - 7 of 76

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## Question 1

Appeared in Year: *2014*

### Question

MCQ▾The solution of the differential equation

Subject to the boundary condition and , is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 2

Appeared in Year: *2015*

### Write in Short

Short Answer▾The value of is ________ (up to one decimal place)

## Question 3

Appeared in Year: *2014*

### Question

MCQ▾The value of the integral Where C is the circle , is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 4

Appeared in Year: *2015*

### Question

MCQ▾Consider a complex function . Which one of the following statements is correct?

### Choices

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

a. | has a second order pole at | |

b. | has infinite number of second order poles | |

c. | has all simple poles | |

d. | has simple poles at and |

## Question 5

Appeared in Year: *2014*

### Question

MCQ▾The unit vector perpendicular to the surface at the point is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 6

Appeared in Year: *2014*

### Question

MCQ▾The matrix is –

### Choices

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

a. | Orthogonal | |

b. | Anti – symmetric | |

c. | Unitary | |

d. | Symmetric |

## Question 7

Appeared in Year: *2015*

### Question

MCQ▾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. | Q and R | |

b. | P and R | |

c. | R and S | |

d. | P, R and S |