Mathematical Physics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 15 - 19 of 71

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Question number: 15

» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness

Appeared in Year: 2012

MCQ▾

Question

Identify the correct statement for the vectors Equation and Equation

Choices

Choice (4) Response

a.

The vectors Equation and Equation linearly dependent

b.

The vectors Equation and Equation are orthogonal

c.

The vectors Equation and Equation are normalized

d.

The vectors Equation and Equation are linearly independent

Question number: 16

» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications

Appeared in Year: 2012

MCQ▾

Question

The value of the integral Equation , using the contour Equation of circle with unit radius Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 17

» Mathematical Physics » Elements of Complex Analysis » Cauchy-Riemann Conditions

Appeared in Year: 2012

MCQ▾

Question

The number of independent component of the symmetric Equation with indices Equation is –

Choices

Choice (4) Response

a.

6

b.

3

c.

1

d.

9

Question number: 18

» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications

Appeared in Year: 2013

Short Answer Question▾

Write in Short

For the function Equation , the residue at the pole Equation is (your answer should be an integer) Equation .

Question number: 19

» Mathematical Physics » Laplace Transforms

Appeared in Year: 2013

MCQ▾

Question

Which of the following pairs of the given function Equation and its Laplace transform Equation is NOT CORRECT?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation (Singularity at + 0)

d.

Equation

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