CSIR Physical Sciences: Questions 329 - 332 of 389

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Question number: 329

» 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: 330

» Thermodynamic and Statistical Physics » Classical and Quantum Statistics

Appeared in Year: 2011

MCQ▾

Question

Consider a system of N non – interacting spins, each of which has classical magnetic moment of magnitude μ . The Hamiltonian of this system in an external magnetic field H is H=i=1NμiH

where μi is the magnetic moment of the ith spin. The magnetization per spin at temperature T is: (June)

Choices

Choice (4) Response
a.

μ[coth(μHkBT)kBTμH]

b.

μtanh(μHkBT)

c.

μ2HkBT

d.

μ[sinh(μHkBT)]

Question number: 331

» Nuclear and Particle Physics » Basic Nuclear Properties » Size

Appeared in Year: 2011

MCQ▾

Question

The radius of a Cu nucleus is measured to be 4.8×1013cm . The radius of a Mg nucleus can be estimated to be – (June)

Choices

Choice (4) Response
a.

2.86×1013cm

b.

5.2×1013cm

c.

3.6×1013cm

d.

8.6×1013cm

Question number: 332

» Mathematical Methods of Physics » Fourier and Laplace Transforms

Appeared in Year: 2011

MCQ▾

Question

The graph of the function f(x)={1,for2nx2n+10,for2n+1x2n+2 (Where, n=0, 1,2 ) is shown below.

A graph of a periodic function

A Graph of a Periodic Function

In figure a graph of a periodic function is shown.

Its Laplace transform F¯(s) is – (December)

Choices

Choice (4) Response
a.

1ess

b.

1s(1es)

c.

1s(1+es)

d.

1ess

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