Mathematical Physics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 7  10 of 76
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Question number: 7
» Mathematical Physics » Linear Differential Equations
Appeared in Year: 2015
Question
A function satisfies the ordinary differential equation , where Consider the four statements P, Q, R, S as given below.
P: and are linearly independent solution for all values of
Q: and are linearly independent solution for all values of
R: and 1 are linearly independent solution for
S: and are linearly independent solution for all values of
The correct option for the combination of valid statements is –
Choices
Choice (4)  Response  

a.  P, R and S 

b.  Q and R 

c.  P and R 

d.  R and S 

Question number: 8
» Mathematical Physics » Vector Calculus
Appeared in Year: 2014
Write in Short
If the vector potential
satisfies the Coulomb gauge, the value of the constant is ________.
Question number: 9
» Mathematical Physics » Fourier Analysis
Appeared in Year: 2015
Question
The Heaviside function is defined as,
And its Fourier transform is given by . The Fourier transform of, is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  0 

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. 

