Quantum Mechanics-One, Two and Three-Dimensional Potential Problems [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 1 - 4 of 23
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Question 1
Appeared in Year: 2015
Question MCQ▾
The average energy of a one dimensional quantum oscillator of frequency and in contact with a heat bath at temperature T is given by,
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 2
Appeared in Year: 2014
Question MCQ▾
The ground state and the first excited state wave function of a one dimensional infinite potential well are and , respectively. When two spin – up electrons are placed in this potential, which one of the following with and denoting the position of the two electrons, correctly represents the space part of the ground state wave function of the system?
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 3
Appeared in Year: 2012
Question MCQ▾
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. |
Question 4
Appeared in Year: 2012
Question MCQ▾
A particle is constrained to move in a truncated harmonic potential well as shown in the figure. Which one of the following statements is correct?
Choices
Choice (4) | Response | |
---|---|---|
a. | The parity of the ground state is even | |
b. | The parity of the first excited state is even | |
c. | The ground state energy is | |
d. | The first excited state energy is |