Question

In: Physics

An electron is in a #D quantum box with each side having length a0. a) What...

An electron is in a #D quantum box with each side having length a0.

a)

What is the largest wavelength of light emitted when the electron in the box transitions between levels? Consider only between levels up to the second excited energy level and express your answer in terms of a0.

b)

What is the smallest wavelength of light emitted when considering every possible transition?

Solutions

Expert Solution

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

What is the length of a one-dimensional box in which an electron in the n =...
What is the length of a one-dimensional box in which an electron in the n = 1, state has the same energy as a photon with a wavelength of 600 nm? What is the energy of n = 2 and n =3 state? What energy of a photon, if absorbed by the electron could move it from the n = 1 state to the n = 2 state? Write legibly.
What is the role of kinetic energy quantization in covalent bond formation? [keywords: particle-in-a-box, length, quantum...
What is the role of kinetic energy quantization in covalent bond formation? [keywords: particle-in-a-box, length, quantum state, energy, kinetic, hydrogen atom, hydrogen molecule, covalent bond energy...]
A cubic block of side length d is in a water container as shown in the...
A cubic block of side length d is in a water container as shown in the figure. Only half of the block is immersed in water and the block is being held by a rope attached to the bottom of the container. The block is made of wood with density ρ0. A) Find the tension on the string. B) If the container is fill with water up to a height of 1.5 m, calculate the pressure at the bottom of...
Give a possible set of quantum numbers for an electron in each of the following and...
Give a possible set of quantum numbers for an electron in each of the following and explain what each number stands for. a) a 3s orbital b) a 2p orbital c) a 5d orbital
A box slides down a plank of length d that makes an angle of θ with...
A box slides down a plank of length d that makes an angle of θ with the horizontal as shown. μk is the kinetic coefficient of friction and μs is the static coefficient of friction. a) Enter an expression for the minimum angle θ (in degrees) the box will begin to slide. b) Enter an expression for the nonconservative work done by kinetic friction as the block slides down the plank. Assume the box starts from rest and θ is...
Calculate the magnetic dipole moment in units of (J/T)for an electron having a principle quantum number...
Calculate the magnetic dipole moment in units of (J/T)for an electron having a principle quantum number n = 3. a) By using quantum theory. b) Using Bohr Theory.
Consider a two-dimensional electron gas in a square box of side L, with periodic boundary conditions....
Consider a two-dimensional electron gas in a square box of side L, with periodic boundary conditions. a) Derive the density of states per unit energy, D(ε). b) Find the Fermi wavevector, kF, and the Fermi energy, εF, in terms of the number of electrons N and the area of the box, A=L2 . c) Calculate the density of states at the Fermi energy, D(εF), expressed in terms of N and A. Calculate the heat capacity, CV.
Consider a two-dimensional electron gas in a square box of side L, with periodic boundary conditions....
Consider a two-dimensional electron gas in a square box of side L, with periodic boundary conditions. a) Derive the density of states per unit energy, D(ε). b) Find the Fermi wavevector, kF, and the Fermi energy, εF, in terms of the number of electrons N and the area of the box, A=L2 . c) Calculate the density of states at the Fermi energy, D(εF), expressed in terms of N and A. Calculate the heat capacity, CV.
1. Calculate the probability of locating an electron in a one-dimensional box of length 2.00 nm...
1. Calculate the probability of locating an electron in a one-dimensional box of length 2.00 nm and nx=4 between 0 and 0.286 nm. The probability is also plotted. You should compare (qualitatively) your numerical answer to the area under the curve on the graph that corresponds to the probability.
In a thought experiment, a cubic box of side length 0.01 mm contains three particles. One...
In a thought experiment, a cubic box of side length 0.01 mm contains three particles. One particle moves just in the x-direction, colliding elastically with the left and right walls of the cube. The second atom moves just in the y-direction, colliding elastically with the front and back walls of the cube. The third atom moves just in the z-direction, colliding elastically with the top and bottom walls of the cube. All three atoms have speed 500 m/s and mass...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT