CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 92  96 of 463
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Question number: 92
» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics
Appeared in Year: 2012
Question
Two events, separated by a (special) distance, are simultaneous in one inertial frame. The time interval between these two events in a frame moving with a constant speed (where the speed of light) is – (June)
Choices
Choice (4)  Response  

a.  40 s 

b.  60 s 

c.  20 s 

d.  0 s 

Question number: 93
» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle
Appeared in Year: 2012
Question
Given the usual canonical commutation relation, the commutator of and is  (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 94
» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order
Appeared in Year: 2014
Question
Consider the differential equation
With the initial conditions and. The solution attains its maximum value when is – (June)
Choices
Choice (4)  Response  

a. 


b.  2 

c.  1 

d.  ∞ 

Question number: 95
» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle
Appeared in Year: 2014
Question
Let and denote, respectively, the coordinate and momentum operators satisfying the canonical commutation relation in natural units. Then the commutator is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 96
» Quantum Mechanics » Variational Method
Appeared in Year: 2012
Question
The wave function of a state of the hydrogen atom is given by,
Where, is the normalized eigen function of the state with quantum numbers n, l and m in the usual notation. The expectation value of is the state is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

