Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 41 - 44 of 77

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Question number: 41

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

Appeared in Year: 2014

MCQ▾

Question

Let and be complex numbers. Which of the following sets of matrices forms a group under matrix multiplication? (December)

Choices

Choice (4) Response

a.

where

b.

, where is real

c.

where

d.

Question number: 42

» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals

Appeared in Year: 2011

MCQ▾

Question

The value of the integral , where C is an open contour in the complex Z – plane as shown in the figure below is –

Open contour in the complex Z plane

Open Contour in the Complex Z Plane

In figure an open contour in the complex Z – plane is shown.

(June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 43

» Mathematical Methods of Physics » Elements of Complex Analysis

Appeared in Year: 2014

MCQ▾

Question

The function satisfies the equation (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 44

» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order

Appeared in Year: 2011

MCQ▾

Question

The equation of the plane that is tangent to the surface at the point is – (December)

Choices

Choice (4) Response

a.

b.

c.

d.

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