Mathematical Methods of Physics (CSIR Physical Sciences): Questions 33 - 35 of 67

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Question number: 33

» Mathematical Methods of Physics » Elements of Complex Analysis

Appeared in Year: 2014

MCQ▾

Question

Consider the function f(z)=1zln(1z) of a complex variable z=reiθ(r0,<θ<) . The singularities of f(z) are as follows: (December)

Choices

Choice (4) Response

a.

branch points at z=1 and z= ; and a pole at z=0 for all θ .

b.

branch points at z=0,z=1 and z=

c.

branch points at z=1 and z= ; and a pole at z=0 for all θ other than 0θ<2π

d.

branch points at z=1 and z= ; and a pole at z=0 only for 0θ<2π .

Question number: 34

» Mathematical Methods of Physics » Introductory Group Theory - SU(2) and O(3)

Appeared in Year: 2011

MCQ▾

Question

Which of the following matrices is an element of the group SU (2)?

(June)

Choices

Choice (4) Response

a.

(1101)

b.

(2+ii31+i)

c.

(12323212)

d.

(1+i313131i3)

Question number: 35

» Mathematical Methods of Physics » Vector Algebra and Vector Calculus

Appeared in Year: 2011

MCQ▾

Question

Let a and b be two distinct three – dimensional vectors. Then the component of b that is perpendicular to a is given by, - (June)

Choices

Choice (4) Response

a.

(ab)bb2

b.

a×(b×a)a2

c.

(ba)aa2

d.

b×(a×b)b2

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