Quantum Mechanics-Particle in a Box [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 1 - 4 of 11
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Question 1
Appeared in Year: 2015
Question MCQ▾
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 2
Appeared in Year: 2010
Question MCQ▾
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 3
Appeared in Year: 2010
Question MCQ▾
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 ,
Choices
Choice (4) | Response | |
---|---|---|
a. | depends on the sign of | |
b. | ||
c. | ||
d. |
Question 4
Appeared in Year: 2009
Question MCQ▾
The de Broglie wavelength of particles of mass with average momentum at a temperature in three dimensions is given by –
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |