Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 40  43 of 77
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Question number: 40
» Mathematical Methods of Physics » Binomial, Poisson and Normal Distributions
Appeared in Year: 2011
Question
Consider a Maxwellian distribution of the velocity of the molecules of an ideal gas. Let and denote the most probable velocity and the root mean square velocity, respectively. The magnitude of radio is: (December)
Choices
Choice (4)  Response  

a. 


b.  1 

c. 


d. 


Question number: 41
» Mathematical Methods of Physics » Introductory Group Theory  SU(2) and O(3)
Appeared in Year: 2014
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
Question
The value of the integral , where C is an open contour in the complex Z – plane as shown in the figure below is –
(June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 43
» Mathematical Methods of Physics » Elements of Complex Analysis
Appeared in Year: 2014
Question
The function satisfies the equation (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

