Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  4 of 80
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 463 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 300.00 or
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. 

