GATE Physics: Questions 270 - 273 of 290

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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

Consider a counterclockwise circular contour z=1 about the origin. The integral f(z)dz over this contour is –

Choices

Choice (4) Response

a.

iπ

b.

iπ

c.

zero

d.

2iπ

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

Question number: 273

» Solid State Physics » Semiconductors and Insulators

Appeared in Year: 2010

MCQ▾

Question

The Hall coefficient, RH, of sodium depends on –

Choices

Choice (4) Response

a.

The charge carrier density only

b.

The effective charge carrier mass and carrier density

c.

The charge carrier density and relaxation time

d.

The effective charge carrier mass

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