Question
Find the probability of finding a particle in a box of length L in a region...
Find the probability of finding a particle in a box of length L in a region 0.45L to 0.55L to ground state and its excited state.
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
For a particle in a one-dimensional box of width a, determine the probability of finding the...
For a particle in a one-dimensional box of width a, determine
the probability of finding the particle in the right third of the
box (between ‘2/3 a’ and ‘a’) if the particle is in the ground
state. ( Given: Y(x)= sqrt(2/a) sin(npix/a) )
A particle of mass m moves in a one-dimensional box of length L, with boundaries at...
A particle of mass m moves in a one-dimensional box of length L,
with boundaries at x = 0 nm and x = 5 nm. Thus, V (x) = 0 for 0 ≤ x
≤ 5 nm, and V (x) = ∞ elsewhere.
a) Can light excite a particle from its ground state to the
fourth excited state? Mathematically support your answer.
b) If the optical transition in (a) is possible, what is the
required wavelength of light that generates...
The normalized wave functions for the particle is in a 1D box of length L., with...
The normalized wave functions for the particle is in a 1D box of
length L., with limits on x = 0 and x = L. V (x) = 0 for 0 <= x
<= L and V (x) = Infinity elsewhere. The probability of a
particle being between x = 0 and x = L / 8 in the ground quantum
state (n = 1) should be calculated.
The sides of a one dimensional quantum box (1-D) are in x=0, x=L. The probability of...
The sides of a one dimensional quantum box (1-D) are
in x=0, x=L. The probability of observing a particle of mass m in
the ground state, in the first excited state and in the 2nd excited
state are 0.6, 0.3, and 0.1 respectively
a) If each term contributing to the particle function
has a phase factor equal 1 in t=0. What is the wave function for
t>0?
b) what is the probability of finding the particle at
the position x=L/3...
The wave function of a particle in a one-dimensional box of length L is ψ(x) =...
The wave function of a particle in a one-dimensional box of
length L is ψ(x) = A cos (πx/L).
Find the probability function for ψ.
Find P(0.1L < x < 0.3L)
Suppose the length of the box was 0.6 nm and the particle was an
electron. Find the uncertainty in the speed of the particle.
In class, we are discussing a free particle trapped inside the box. Keeping this discussion in...
In class, we are discussing a free particle trapped inside the
box. Keeping this discussion in mind, please answer the following
questions. (a) Calculate the probability of finding the particle in
the first one third of the box (0 to a/3). The particle is residing
in the first excited state. (b) Show that the ground state
wavefunction is orthogonal to the first excited state wavefunction.
(c) Uncertainty is defined as the square root of variance ( a 2 =
-...
For the infinite square-well potential, find the probability that a particle in its third excited state...
For the infinite square-well potential, find the probability
that a particle in its third excited state is in each third of the
one-dimensional box:
(0 ≤ x ≤ L/3)
(L/3 ≤ x ≤ 2L/3)
(2L/3 ≤ x ≤ L)
For the infinite square-well potential, find the probability that a particle in its fourth excited state...
For the infinite square-well potential, find the probability
that a particle in its fourth excited state is in each third of the
one-dimensional box:
a) (0 ≤ x ≤ L/3)
b) (L/3 ≤ x ≤ 2L/3)
c) (2L/3 ≤ x ≤ L)
For a particle trapped in a one-dimensional infinite square well potential of length ?, find the...
For a particle trapped in a one-dimensional infinite square well
potential of length ?, find the probability that the particle is in
its ground state is in
a) The left third of the box: 0 ≤ ? ≤ ?/3
b) The middle third of the box: ?/3 ≤ ? ≤ 2?/3
c) The right third of the box: 2?/3 ≤ ? ≤ L
After doing parts a), b), and c):
d) Calculate the sum of the probabilities you got for...
Recall that |ψ|2dx is the probability of finding the particle that has normalized wave function ψ(x)...
Recall that |ψ|2dx is the probability of finding the particle
that has normalized wave function ψ(x) in the interval x to x+dx.
Consider a particle in a box with rigid walls at x=0 and x=L. Let
the particle be in the first excited level and use
ψn(x)=2L−−√sinnπxL
For which values of x, if any, in the range from 0 to L is the
probability of finding the particle zero?
For which v alues of x is the probability highest?Express your...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 12 minutes ago
asked 22 minutes ago
asked 30 minutes ago
asked 45 minutes ago
asked 56 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago