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the formula for he particle in a box.
3) If you trap an electron in a 0.25-nm-long box, what are the first 3 possible...
i got the first part, its just the rest
Part Il: Quantum Mechanics Problems 1) An electron is accelerated through a voltage of 100 V Thinking of it as a wave, what is its wavelength, in nm? (This is called the de Broglie" wavelength.) VpY Vahe .e.AV 6.626x1034 8(2)(9.1x10-3216410-19) (100) = 0.12.3 2) A photon has the same wavelength as this electron. In what part of the spectrum is this photon? What is the energy, in J and in eV,...
An electron is trapped in an infinite square-well potential of width 0.3 nm. If the electron is initially in the n = 4 state, what are the various photon energies that can be emitted as the electron jumps to the ground state? (List in descending order of energy. Enter 0 in any remaining unused boxes.) highest eV eV eV eV eV lowest eV
An electron is trapped in an infinitely deep one-dimensional well of width 0.286 nm. Initially the electron occupies the n = 4 state. (a) Suppose the electron jumps to the ground state with the accompanying emission of a photon. What is the energy of the photon? eV (b) Find the energies of other photons that might be emitted if the electron takes other paths between the n = 4 state and the ground state. eV 4 3 4 2 eV...
The energy levels of the electrons match the results of the particle-in-a-box model. For a 5.0-nm-long chain, what are the energies (in eV) of the first three states?
An electron is trapped in an infinite well of width 10 nm. If the electron drops down 5 energy levels and in the process emits a photon with wavelength 640.15 nm, then what is the final energy of the electron? eV Submit Help
4. An electron is in a one-dimensional box in the n-1 state. Its energy is equal to that of a 600 nm photon. a. What is the energy of the photon? b. What is the length of the box if the electron has the same energy of the photon? c. What is the lowest energy possible for a proton in this box?
7. We have an electron trapped in a one dimensional box, and is excited to the 2nd (n = 2) state. What will be the length of the box if our electron has the same energy as a violet photon (404 nm)?
An electron is known to be confined to a region of width 0.1 nm. What is the lowest kinetic energy it could have, in eV? 1. 0.68 eV 2. 0.80 eV 3. 0.95 eV 4. 1.1 eV
An infinitely deep square well has width L 2.5 nm. The potential energy is V = 0 eV inside the well (i.e., for 0 s xs L) Seven electrons are trapped in the well. 1) What is the ground state (lowest) energy of this seven electron system? Eground eV Submit 2) What is the energy of the first excited state of the system? NOTE: The first excited state is the one that has the lowest energy that is larger than...
What is the probability of finding a particle between x = 0 and x = 0.25 nm in a box of length 1.0 nm in (a) its lowest energy state (n = 1) and (b) when n = 100. Relate your answer to the correspondence principle. This is an illustration of the correspondence principle, which states that classical mechanics emerges from quantum mechanics as high quantum numbers are reached. What does this all mean? • Only certain (discrete) energies are...