Mathematical Methods of Physics (CSIR Physical Sciences): Questions 58  62 of 67
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Question number: 58
» Mathematical Methods of Physics » Taylor & Laurent Series
Appeared in Year: 2011
Question
The first few terms in the Taylor series expansion of the function around are  (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 59
» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order
Appeared in Year: 2011
Question
Let and be two linearly independent solutions of the differential equation, and let . If , then is given by, (December)
Choices
Choice (4)  Response  

a.  1 

b. 


c. 


d. 


Question number: 60
» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals
Appeared in Year: 2011
Question
The value of the real integral is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c.  0 

d. 


Passage
Consider the matrix
(June)
Question number: 61 (1 of 1 Based on Passage) Show Passage
» Mathematical Methods of Physics » Matrices
Appeared in Year: 2011
Question
The eigenvalues of M are –
Choices
Choice (4)  Response  

a.  1, 1, 3 

b. 


c. 


d. 


Passage
A resistance is measured by passing current through it and measuring the resulting voltage drop. If the voltmeter and the ammeter have uncertainties of and , respectively, then – (June)
Question number: 62 (1 of 2 Based on Passage) Show Passage
» Mathematical Methods of Physics » Dimensional Analysis
Appeared in Year: 2011
Question
The uncertainty in the computed value of the power dissipated in resistance is:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

