Oh yeah. I was totally missing this out. I tried the whole problem by calculating Δp from √(<p2> - <p>2)
I am getting uncertainity in momentum too now which is Δp = πħ/L.
So now (Δx)(Δp) = L × πħ/L = πħ = π× (h/2π) = h/2.
But this is not the answer.
Answer is (d) h/√3
Homework Statement
For the ground state of a particle moving freely in a one-dimensional box 0≤x≤L with rigid reflecting end points, the uncertainity product (Δx)(Δp) is
(A) h/2
(B) h√2
(C) >h/2
(D) h/√3Homework Equations
The uncertainity principle says that -
(Δx)(Δp) ≥ ħ/2
Ground state energy...
Homework Statement
The ground state energy of 5 identical spin 1/2 particles which are subject to a one dimensional simple harkonic oscillator potential of frequency ω is
(A) (15/2) ħω
(B) (13/2) ħω
(C) (1/2) ħω
(D) 5ħω
Homework Equations
Energy of a simple harmonic oscillator potential is
En...
Homework Statement
[/B]
A particle of mass 'm' is initially in a ground state of 1- D Harmonic oscillator potential V(x) = (1/2) kx2 . If the spring constant of the oscillator is suddenly doubled, then the probability of finding the particle in ground state of new potential will be?
(A)...