Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 60  65 of 77
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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. 


Question number: 63 (2 of 2 Based on Passage) Show Passage
» Mathematical Methods of Physics » Dimensional Analysis
Appeared in Year: 2011
Question
The uncertainty in the value of resistance is:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Passage
In the absence of an applied torque a rigid body with three distances principal moments of inertia given by is rotating freely about a fixed point inside the body. The Euler equations for the components of its angular velocity are
(June)
Question number: 64 (1 of 1 Based on Passage) Show Passage
» Mathematical Methods of Physics » Eigenvalues and Eigenvectors
Appeared in Year: 2011
Question
The equilibrium points in space are –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Passage
Consider the matrix (June)
Question number: 65 (1 of 1 Based on Passage) Show Passage
» Mathematical Methods of Physics » Taylor & Laurent Series
Appeared in Year: 2011
Question
The exponential of M simplifies to (I is the identity matrix)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

