Question

Calculate the probability that a particle will be found between 0.49a and 0.5a in a box...

Calculate the probability that a particle will be found between 0.49a and 0.5a in a box of length a when it has:

a) n=1

b) n=2

Take the wavefunction to be constant in this small range.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Calculate the probability that a particle will be found in a tiny slice of space between...
Calculate the probability that a particle will be found in a tiny slice of space between 0.59L and 0.61L in a box of length L (defined in the interval (0,L) ) when it is in quantum state n = 3. For simplicity of integration, take the wavefunction to have a constant value equal to its midpoint value in the range given.
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 = -...
The particle in a 1-D box is sometimes used as a model for electrons in a...
The particle in a 1-D box is sometimes used as a model for electrons in a conjugated pi-bond system (alternating double and single bonds). a. The molecule has four pi electrons. Assume that two are in the state corresponding to n=1 and that two are in the state corresponding to n=2. Find the frequency and wavelength of the light absorbed if an electron makes a transition from n=2 to n=3. b. Calculate the probability that a particle in a 1-D...
Calculate the amplitude change of the wavefunction of a particle in a wall over the the...
Calculate the amplitude change of the wavefunction of a particle in a wall over the the distance of twice its decay length. Assume a particle in a finite energy box
For a particle in a one-dimensional box with the length of 30 Å, its wavefunction is...
For a particle in a one-dimensional box with the length of 30 Å, its wavefunction is ψ1+ψ3. What is the location (except x=0 and x =30 Å) where the probability to find this particle is 0?
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) )
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.
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.
For a particle in the first excited state of harmonic oscillator potential, a) Calculate 〈?〉1, 〈?〉1,...
For a particle in the first excited state of harmonic oscillator potential, a) Calculate 〈?〉1, 〈?〉1, 〈? 2〉1, 〈? 2〉1. b) Calculate (∆?)1 and (∆?)1. c) Check the uncertainty principle for this state. d) Estimate the length of the interval about x=0 which corresponds to the classically allowed domain for the first excited state of harmonic oscillator. e) Using the result of part (d), show that position uncertainty you get in part (b) is comparable to the classical range of...
I want you to compare particle in a box with the Bohr atom. For the particle...
I want you to compare particle in a box with the Bohr atom. For the particle in the box you can assume the size is .5x10^-10 m and the particle that is trapped is an electron. For the Bohr atom consider a hydrogen atom. a.) What is the energy of photon emitted when the electron drops from 3->2 and 2->1 in the particle in a box? b.) What is the energy of photon emitted when the electron drops from 3->2...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT