CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 172  175 of 463
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Question number: 172
» Quantum Mechanics » WaveFunction in Coordinate Representations
Appeared in Year: 2011
Question
The wavefunction of a particle is given is given by , where and are the normalized eigenfunctions with energies and corresponding to the ground state and first excited state, respectively. The expectation value of the Hamiltonian in state is –
(June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 173
» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle
Appeared in Year: 2014
Question
The matrices Satisfy the commutation relations (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 174
» Mathematical Methods of Physics » Introductory Group Theory  SU(2) and O(3)
Appeared in Year: 2011
Question
Which of the following matrices is an element of the group SU (2)?
(June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 175
» Electromagnetic Theory » Electromagnetic Induction
Appeared in Year: 2014
Question
A superconducting ring carries a steady current in the presence of a magnetic field normal to the plane of the ring. Identify the incorrect statement. (December)
Choices
Choice (4)  Response  

a.  The current density and are related by the equation where is a constant. 

b.  The current and the magnetic field in the superconductor are time independent. 

c.  The flux passing through the superconductor is quantized in unit of 

d.  The superconductor shows an energy gap, which is proportional to the transition temperature of the superconductor. 
