Mathematical Physics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 10  14 of 71
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Question number: 10
» Mathematical Physics » Elements of Complex Analysis » CauchyRiemann Conditions
Appeared in Year: 2014
Question
The length element of an arc is given by, . The metric tensor is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 11
» Mathematical Physics » Linear Differential Equations
Appeared in Year: 2015
Question
If and , then –
Choices
Choice (4)  Response  

a.  is differentiable everywhere but is not 

b.  and are differentiable everywhere 

c.  is differentiable everywhere but is not 

d.  is discontinuous at 

Question number: 12
» Mathematical Physics » Elements of Complex Analysis » CauchyRiemann Conditions
Appeared in Year: 2016
Question
Which of the following is an analytic function of everywhere in the complex plane?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 13
» Mathematical Physics » Linear Differential Equations
Appeared in Year: 2016
Question
Consider the linear differential equation . If at then the value of at is given by,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 14
» Mathematical Physics » Matrices
Appeared in Year: 2012
Question
The eigen values of the matrix are –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

