Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 65  68 of 77
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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. 


Question number: 66
» Mathematical Methods of Physics » Dimensional Analysis
Question
Using dimensional analysis, Plank defined a characteristic temperature from powers of the gravitational constant , Planck’s constant , Boltzmann constant and the speed of light in vacuum. The expression for is proportional to – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 67
» Mathematical Methods of Physics » Analytic Functions
Appeared in Year: 2016
Question
The dependence of current on the voltage of a certain device is given by,
Where and are constant. In an experiment the current is measured as the voltage applied across the device is increased. The parameters and can be graphically determined as, (June)
Choices
Choice (4)  Response  

a.  The slope and the intercept of the graph 

b.  The negative of the ratio of the intercept and the slope, and the intercept of the graph 

c.  The slope and the intercept of the graph 

d.  The negative of ratio of intercept and slope, and intercept of the graph 

Question number: 68
» Mathematical Methods of Physics » CayleyHamilton Theorem
Appeared in Year: 2016
Question
The matrix satisfies the equation: (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

