GATE (Graduate Aptitude Test in Engineering) Physics: Questions 112  115 of 622
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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. 


Question number: 113
» Classical Mechanics » Mechanics of System of Particles
Appeared in Year: 2012
Question
In a central force field, the trajectory of particle of mass , and angular momentum in plan polar coordinates in given by,
Where, is the eccentricity of the particle’s motion. Which one of the following choices for gives rise a parabolic trajectory?
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Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 114
» Classical Mechanics » Lagrange's and Hamilton's Formalisms
Appeared in Year: 2016
Question
The Lagrangian of a system is given by
, where are constants.
Which of the following is conserved?
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Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 115
» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space
Appeared in Year: 2016
Question
If and are the components of the position and the momentum operators of a particle respectively, the commutator is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

