# Mathematical Physics-Elementary Ideas About Tensors [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 1 - 4 of 4

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## Question 1

Appeared in Year: *2013*

### Question MCQ▾

In the most general case, which one of the following quantities is NOT a second order tensor?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 2

Appeared in Year: *2010*

### Question MCQ▾

Consider an anti – symmetric tensor with the indices and running from to . The number of independent components of the tensor is –

### Choices

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

a. | 9 | |

b. | 3 | |

c. | 6 | |

d. | 10 |

## Question 3

Appeared in Year: *2009*

### Question MCQ▾

Let and , where is the Levi – Civita density, defined to be zero if two of the indices coincide and and depending on whether is even or odd permutation of . Then is equal to –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 4

Appeared in Year: *2008*

### Question MCQ▾

Under a certain rotation of coordinate axes, a rank – 1 tensor transforms according to the orthogonal transformation defined by the relations . Under the same rotation a rank – 2 tensor would transform such that –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |