Quantum Mechanics-Variational Method [CSIR (Council of Scientific & Industrial Research) Physical Sciences]: Questions 6 - 10 of 11
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Question 6
Appeared in Year: 2012
Question MCQ▾
What would be the ground state energy of the Hamiltonian – If variational principle is used to estimate it with the trial wavefunction with b, as the variational parameter?
(December)
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 7
Appeared in Year: 2012
Question MCQ▾
A variational calculation is done with the normalized trial wavefunction for the one dimensional potential well , the ground state energy is estimated to be, (June)
Choices
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b. | ||
c. | ||
d. |
Question 8
Question MCQ▾
Let and denote the normalized eigenstate corresponding to the ground and first excited state of a one dimensional harmonic oscillator. The uncertainty in the state is:
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 9
Appeared in Year: 2011
Question MCQ▾
The wave function of the particle at time is given by , where and are the normalized eigen states with eigen values and respectively, . The shortest time after which will become orthogonal to is – (December)
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 10
Appeared in Year: 2011
Question MCQ▾
If an electron is in the ground state of the hydrogen atom, the probability that its distance from the proton is more than one Bohr radius is approximately, (June)
Choices
Choice (4) | Response | |
---|---|---|
a. | 0.68 | |
b. | 0.91 | |
c. | 0.48 | |
d. | 0.28 |