Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  4 of 80
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Question number: 1
» Quantum Mechanics » Dirac Notation for State Vectors
Appeared in Year: 2013
Question
Consider the normalized state of a particle in a one – dimensional harmonic oscillator:
Where and denoted the ground and first excited states respectively, and b_{1} and b_{2} are real constants. The expectation value of the displacement in the state will be a minimum when – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 2
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2013
Question
The un – normalized wave function of a particle in a spherically symmetric potential is given by,
Where, is a function of the radial variable r. The eigenvalue of the operator (namely the square of the orbital angular momentum) is – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Quantum Mechanics » Motion in Central Potential » Angular Momentum Algebra
Appeared in Year: 2013
Question
A particle moves in a potential. Which component (s) of the angular momentum is/are constant (s) of motion? (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 4
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2013
Question
In a basis in which the z – component of the spin is diagonal, an electron is in a spin state,
The probability that a measurement of will yield the value and are, respectively,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

