Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 1 - 7 of 76

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Question 1

Mathematical Physics

Appeared in Year: 2014

Question

MCQ▾

The solution of the differential equation

Subject to the boundary condition and , is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 2

Mathematical Physics
Residue Theorem and Applications

Appeared in Year: 2015

Write in Short

The value of is ________ (up to one decimal place)

Question 3

Mathematical Physics
Residue Theorem and Applications

Appeared in Year: 2014

Question

MCQ▾

The value of the integral Where C is the circle , is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 4

Mathematical Physics
Residue Theorem and Applications

Appeared in Year: 2015

Question

MCQ▾

Consider a complex function . Which one of the following statements is correct?

Choices

Choice (4)Response

a.

has a second order pole at

b.

has infinite number of second order poles

c.

has all simple poles

d.

has simple poles at and

Question 5

Mathematical Physics
Residue Theorem and Applications

Appeared in Year: 2014

Question

MCQ▾

The unit vector perpendicular to the surface at the point is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 6

Mathematical Physics
Cauchy-Riemann Conditions

Appeared in Year: 2014

MCQ▾

The matrix is –

Choices

Choice (4)Response

a.

Orthogonal

b.

Anti – symmetric

c.

Unitary

d.

Symmetric

Question 7

Mathematical Physics

Appeared in Year: 2015

Question

MCQ▾

A function satisfies the ordinary differential equation , where Consider the four statements P, Q, R, S as given below.

P: and are linearly independent solution for all values of

Q: and are linearly independent solution for all values of

R: and 1 are linearly independent solution for

S: and are linearly independent solution for all values of

The correct option for the combination of valid statements is –

Choices

Choice (4)Response

a.

Q and R

b.

P and R

c.

R and S

d.

P, R and S

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