Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 38 - 44 of 76

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Question 38

Mathematical Physics
Covariant and Contravariant Tensor

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 39

Mathematical Physics

Appeared in Year: 2010

Question

MCQ▾

If , then the Laplace transform of is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 40

Mathematical Physics
Singularities

Appeared in Year: 2010

Question

MCQ▾

For the complex function, , which of the following statements is correct?

Choices

Choice (4)Response

a.

is an essential singularity

b.

is a branch point

c.

is a removable singularity

d.

is a pole of order one

Question 41

Mathematical Physics

Appeared in Year: 2010

Question

MCQ▾

The solution of the differential equation for , subject to the initial conditions and , is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 42

Mathematical Physics
Orthogonality and Completeness

Appeared in Year: 2010

Question

MCQ▾

Given the recurrence relation for the Legendre polynomials , which of the following integrals has a non – zero value?

Choices

Choice (4)Response

a.

b.

c.

d.

Question 43

Mathematical Physics
Residue Theorem and Applications

Appeared in Year: 2009

Question

MCQ▾

The value of the integral , where the contour is the circle is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 44

Mathematical Physics

Appeared in Year: 2009

Question

MCQ▾

The eigen values of matrix are –

Choices

Choice (4)Response

a.

Complex and distinct

b.

Real and coinciding

c.

Real and distinct

d.

Complex and coinciding

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