GATE (Graduate Aptitude Test in Engineering) Physics: Questions 109  112 of 659
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Question number: 109
» Solid State Physics » Mobility and Effective Mass
Appeared in Year: 2016
Write in Short
The energy vs wave vector relationship near the bottom of a band for a solid can be approximation as , where the lattice constant . The values of and are and , respectively. At the bottom of the conduction band, the ratio of the effective mass of the electron to the mass of fee electron is . (Give your answer up to two decimal placed)
(Take mass of free electron )
Question number: 110
» Electromagnetic Theory » Scalar and Vector Potentials
Appeared in Year: 2016
Question
The direction of for a scalar field at the point is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 111
» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness
Appeared in Year: 2012
Question
Identify the correct statement for the vectors and
Choices
Choice (4)  Response  

a.  The vectors and linearly dependent 

b.  The vectors and are orthogonal 

c.  The vectors and are normalized 

d.  The vectors and are linearly independent 

Question number: 112
» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications
Appeared in Year: 2012
Question
The value of the integral , using the contour of circle with unit radius is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

