GATE (Graduate Aptitude Test in Engineering) Physics: Questions 120  124 of 622
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Question number: 120
» Classical Mechanics » Relativistic Kinematics
Appeared in Year: 2012
Question
A rod of proper length oriented parallel to the X axis moves with speed along the Y – axis in the S – frame, where C is the speed of light in free space. The observer is also moving along the X – axis with speed with respect to the S – frame. The length of the rod as measured by the observer is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 121
» Mathematical Physics » Elements of Complex Analysis » CauchyRiemann Conditions
Appeared in Year: 2012
Question
The number of independent component of the symmetric with indices is –
Choices
Choice (4)  Response  

a.  6 

b.  3 

c.  1 

d.  9 

Passage
The dispersion relation for a one – dimensional monatomic crystal with lattice spacing a, which interacts via nearest neighbor harmonic potential is given by, , where is a constant of appropriate unit.
Question number: 122 (1 of 2 Based on Passage) Show Passage
» Solid State Physics » Elements of Crystallography
Appeared in Year: 2012
Question
The force constant between the nearest neighbors of the lattice is –
(M is the mass of the atom)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 123 (2 of 2 Based on Passage) Show Passage
» Solid State Physics » Elements of Crystallography
Appeared in Year: 2012
Question
The group velocity at the boundary of the first Brillouin zone is –
Choices
Choice (4)  Response  

a. 


b.  1 

c. 


d.  0 

Question number: 124
» Electromagnetic Theory » Solutions of Electrostatic and Magnetostatic Problems
Appeared in Year: 2012
Question
Given , where is a constant vector and is the position vector. The value of , where is a circle of unit radius centered at origin is,
Choices
Choice (4)  Response  

a.  1 

b. 


c. 


d.  0 
