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.

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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

Edit

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.

Edit

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.

Edit