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. | ||