Quantum Mechanics-Variational Method [CSIR (Council of Scientific & Industrial Research) Physical Sciences]: Questions 6 - 10 of 11

Choose Programs:

📹 Video Course 2024 (400 Lectures [266 hrs : 6 mins]): Offline Support

Rs. 1640.00 -OR-

1 Month Validity (Multiple Devices)

Preview All LecturesDetails

🎓 Study Material (487 Notes): 2024-2025 Syllabus

Rs. 450.00 -OR-

3 Year Validity (Multiple Devices)

Topic-wise Notes & SampleDetails

🎯 696 MCQs (& PYQs) with Full Explanations (2024-2025 Exam)

Rs. 350.00 -OR-

3 Year Validity (Multiple Devices)

CoverageDetailsSample Explanation

Help me Choose & Register (Watch Video) Already Subscribed?

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

a.

b.

c.

d.

Edit

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

Choice (4)Response

a.

b.

c.

d.

Edit

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

a.

b.

c.

d.

Edit

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

a.

b.

c.

d.

Edit

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

Edit