Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 15  19 of 80
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 659 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 450.00 or
Question number: 15
» Quantum Mechanics » Angular Momentum and Spin
Appeared in Year: 2014
Write in Short
and are two orthogonal states of a spin system. It is given that
Where and represent the spin – up and spin – down states, respectively. When the system is in the state , its probability to be in the spin – up state is .
Question number: 16
» 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. 


Passage
The wave function of a particle moving in free space is given by,
Question number: 17 (1 of 2 Based on Passage) Show Passage
» Quantum Mechanics » Schrodinger Equation
Appeared in Year: 2012
Question
The energy of the particle is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 18 (2 of 2 Based on Passage) Show Passage
» Quantum Mechanics » Postulates of Quantum Mechanics
Appeared in Year: 2012
Question
The probability current density for the real part of the wavefunction is –
Choices
Choice (4)  Response  

a. 


b.  0 

c.  1 

d. 


Question number: 19
» Quantum Mechanics » One, Two and ThreeDimensional Potential Problems
Appeared in Year: 2012
Question
A particle of mass is confined in a two dimensional square well potential of dimension . This potential is given by,
The energy of the first excited state for this particle is given by,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

