Mathematical Methods of Physics-Analytic Functions (CSIR Physical Sciences): Questions 1 - 4 of 4

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Question number: 1

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2013

MCQ▾

Question

With z=x+iy, which of the following function f(x,y) is not a (complex) analytic function of z? (June)

Choices

Choice (4) Response

a.

f(x,y)=(x+iy8)3(4+x2y2+2ixy)7

b.

f(x,y)=(x+iy)7(1xiy)3

c.

f(x,y)=(x2y2+2ixy3)5

d.

f(x,y)=(1x+iy)4(2+x+iy)6

Question number: 2

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2012

MCQ▾

Question

A bag contains many balls, each with a number painted on it. There are exactly n balls which have the number n (namely one ball with 1, two balls with 2, and so on until N balls with N on them). An experiment consists of choosing a ball at random, nothing the number on it and returning it to the bag. If the experiment is repeated a large number of times, the average value of the number will tend to – (June)

Choices

Choice (4) Response

a.

N+12

b.

2N+13

c.

N(N+1)2

d.

N2

Question number: 3

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2011

MCQ▾

Question

Which of the following is an analytic function of the complex variable z=x+iy in the domain z <2 ? (June)

Choices

Choice (4) Response

a.

(3+xiy)7

b.

(1+x+iy)4(7xiy)3

c.

(12xiy)4(3xiy)3

d.

(x+iy1)12

Question number: 4

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2016

MCQ▾

Question

The dependence of current I on the voltage V of a certain device is given by,

I=I0(1VV0)2

Where I0 and V0 are constant. In an experiment the current I is measured as the voltage V applied across the device is increased. The parameters V0 and I0 can be graphically determined as, (June)

Choices

Choice (4) Response

a.

The slope and the y intercept of the IV2 graph

b.

The negative of the ratio of the y intercept and the slope, and the y intercept of the IV2 graph

c.

The slope and the y intercept of the IV graph

d.

The negative of ratio of y intercept and slope, and y intercept of the IV graph

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