Quantum MechanicsParticle in a Box (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1  3 of 5
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 622 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 350.00 or
Question number: 1
» Quantum Mechanics » Particle in a Box
Appeared in Year: 2015
Question
A particle is confined in a box of length as shown below,
If the potential is treated as a perturbation, including the first order correction, the ground state energy is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 2
» Quantum Mechanics » Particle in a Box
Appeared in Year: 2010
Question
A particle of mass is confined in the potential ,
Let the wavefunction of the particle be given by , where and are the eigenfunctions of the ground state and the first excited state respectively. The expectation value of the energy is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Quantum Mechanics » Particle in a Box
Appeared in Year: 2010
Question
A particle of mass is confined in an infinite potential well , it is subjected to a perturbing potential within the well. Let and be the corrections to the ground state energy in the first and second order in ,
Potential of Particle in Infinite Potential Well
In figure a potential of particle in infinite potential well is shown.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  depends on the sign of 
