Quantum Mechanics-Variational Method (CSIR Physical Sciences): Questions 8 - 10 of 10

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 389 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 8

» Quantum Mechanics » Variational Method

MCQ▾

Question

Let 0 and 1 denote the normalized eigenstate corresponding to the ground and first excited state of a one dimensional harmonic oscillator. The uncertainty Δp in the state 12( 0+ 1) is:

Choices

Choice (4) Response
a.

Δp=mω

b.

Δp=mω2

c.

Δp=2mω

d.

Δp=mω2

Question number: 9

» Quantum Mechanics » Variational Method

Appeared in Year: 2011

MCQ▾

Question

The wave function of the particle at time t=0 is given by ψ(0)=12( u1+ u2) , where u1 and u2 are the normalized eigen states with eigen values E1 and E2 respectively, (E2>E1) . The shortest time after which ψ(t) will become orthogonal to ψ(0) is – (December)

Choices

Choice (4) Response
a.

πE2E1

b.

2πE2E1

c.

π2(E2E1)

d.

2πE2E1

Question number: 10

» Quantum Mechanics » Variational Method

Appeared in Year: 2011

MCQ▾

Question

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.

0.48

b.

0.68

c.

0.28

d.

0.91

Sign In