Mathematical Physics [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 14 - 19 of 245

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Question 14

Appeared in Year: 2014

Question MCQ▾

Consider the differential equation

With the initial conditions and . The solution attains its maximum value when is – (June)

Choices

Choice (4)Response

a.

b.

1

c.

d.

2

Edit

Question 15

Appeared in Year: 2014

Question MCQ▾

If C is the contour defined by , the value of the signal

is – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

0

Edit

Question 16

Appeared in Year: 2014

Question MCQ▾

Consider the matrix . The eigenvalues of M are – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 17

Appeared in Year: 2012

Question MCQ▾

Let be a continuous real function in the range 0 and , satisfying the in homogeneous differential equation:

The value of at the point . (June)

Choices

Choice (4)Response

a.

Is continuous

b.

Has a discontinuity of

c.

Has a discontinuity of 3

d.

Has a discontinuity of 1

Edit

Question 18

Appeared in Year: 2014

Question MCQ▾

The Laurent series expansion of the function about is given by, (December)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 19

Appeared in Year: 2014

Question MCQ▾

Consider the function of a complex variable . The singularities of are as follows: (December)

Choices

Choice (4)Response

a.

branch points at and ; and a pole at for all other than

b.

branch points at and

c.

branch points at and ; and a pole at for all .

d.

branch points at and ; and a pole at only for .

Edit