GATE Physics: Questions 270 - 272 of 378

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Passage

Consider a function f(z)=zsinz(zπ)2 of a complex variable z .

Question number: 270 (2 of 2 Based on Passage) Show Passage

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

Appeared in Year: 2011

MCQ▾

Question

Which of the following statements is true for function f(z) ?

Choices

Choice (4) Response

a.

f(z) is analytic everywhere in the complex plane

b.

f(z) has a zero at z=π

c.

f(z) has a simple pole at z=π

d.

f(z) has a pole of order 2 at z=π

Question number: 271

» Electronics » Operational Amplifiers

Appeared in Year: 2011

MCQ▾

Question

Consider the following circuit,

Circuit of an op – amp and two resistors

Circuit of an Op – Amp and Two Resistors

In figure a circuit of an op – amp and two resistors are shown.

Which of the following correctly represents the output Vout corresponding to the input Vin ?

Choices

Choice (4) Response

a.

O/p and i/p signals for given circuit: Choice A

O/p and i/p Signals for Given Circuit: Choice A

In figure output and input signal for given op – amp circuit is given.

b.

 O/p and i/p signals for given circuit: Choice B

O/p and i/p Signals for Given Circuit: Choice B

In figure output and input signal for given op – amp circuit is given.

c.

 O/p and i/p signals for given circuit: Choice C

O/p and i/p Signals for Given Circuit: Choice C

In figure output and input signal for given op – amp circuit is given.

d.

O/p and i/p signals for given circuit: Choice D

O/p and i/p Signals for Given Circuit: Choice D

In figure output and input signal for given op – amp circuit is given

Question number: 272

» Mathematical Physics » Matrices

Appeared in Year: 2010

MCQ▾

Question

The eigenvalues of matrix (230320001) are –

Choices

Choice (4) Response

a.

5, 2,2

b.

5, 1,1

c.

5,1, 1

d.

5, 1,1

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