Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 69  72 of 77
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Question number: 69
» Mathematical Methods of Physics » Linear Algebra
Appeared in Year: 2016
Question
A stable asymptotic solution of the equation is . If we take and , where and are both small, the ratio is approximately: (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 70
» Mathematical Methods of Physics » Finite Difference Methods
Appeared in Year: 2016
Question
Given the values , the approximate value of , computed by Newton’s forward difference method, is: (December)
Choices
Choice (4)  Response  

a.  0.804 

b.  0.776 

c.  0.788 

d.  0.798 

Question number: 71
» Mathematical Methods of Physics » Partial Differential Equations
Appeared in Year: 2016
Question
Let be a solution of the heat equation in one dimension. The initial condition at is for . Then for all is given by:
[Useful integral: . ] (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 72
» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order
Appeared in Year: 2016
Question
The resistance of a sample is measured as a function of temperature, and the data are shown below.










The slope of vs graph, using a linear least – squares fit to the data, will be: (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

