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 |
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 |
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. |
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 |
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. |
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 . |