Question

In: Physics

An electron is trapped in a two-dimensional region of ?? =??= 1.00x10-10 m (a typical atomic...

An electron is trapped in a two-dimensional region of ?? =??= 1.00x10-10 m (a typical atomic diameter). a. Find the energies of the ground state and first two excited states. b. How much energy must be supplied to excite the electron from the ground state to the second excited state? c. From the second excited state, the electron drops down to the first excited state. How much energy is released in this process?

Solutions

Expert Solution

genius_generous answered 1 year ago
Next > < Previous

Related Solutions

An electron is trapped in an infinitely deep one-dimensional well of width 0.288 nm. Initially the...
An electron is trapped in an infinitely deep one-dimensional well of width 0.288 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. 4 → 3 in eV 4...
An electron is placed in a region with a 1010 V/m electric field directed in the...
An electron is placed in a region with a 1010 V/m electric field directed in the positive x-direction. The electron escapes this region after traveling 14.0 cm. What is the kinetic energy of the electron? What is the particle's velocity? Will a proton placed at the same initial position and traveling through a similar 14.0 cm path acquire the same amount of kinetic energy? Will the proton experience the same change in velocity? Why or why not? I have seen...
Let R be the two-dimensional region in the first quadrant of the xy- plane bounded by...
Let R be the two-dimensional region in the first quadrant of the xy- plane bounded by the lines y = x and y = 3x, and by the hyperbolas xy = 1 and xy = 3. Let (x,y) = g(u,v) be the two-dimensional transformation of the first quadrant defined by x = u/v, y = v. a) Compute the inverse transformation g−1. b) Draw the region R in the xy-plane and the region g−1(R) in the uv-plane c) Use the...
Consider a typical settling tank of 10 m diameter and 10 m height. Inlet pipe is...
Consider a typical settling tank of 10 m diameter and 10 m height. Inlet pipe is approximately 2 m deep from the top of the tank. Perform following preliminary calculations. a. For a water-sand flowrate of 1500 m 3 /hr with 1000 ppm of sand, calculate sand particle size than can be settled in the tank. (Water: density = 1000 kg/m3 , viscosity = 1 cP; Sand: density = 2500 kg/m3 ) (6-marks) b. Consider settling of different sizes (50,...
An electron with velocity v = 2.0x106 m/s directed along +y axis enters in a region...
An electron with velocity v = 2.0x106 m/s directed along +y axis enters in a region of uniform electric field, E = 8.0 x 103 V/m directed along +y axis. What is the magnitude and direction of the acceleration of the electron? How long does it take for the electron to stop instantaneously? Answer: 15 2 a = 1.4x10 m/s , directed along – y-axis, t = 1.4 ns
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.
Consider a two-dimensional hexagonal lattice: (a) Draw the free electron Fermi surface in the reduced zone...
Consider a two-dimensional hexagonal lattice: (a) Draw the free electron Fermi surface in the reduced zone scheme when the lattice points are occupied by atoms with: i. One valence electron/atom. ii. Two valence electrons/atom.
An electron absorbs a photon of wavelength 2.6*10^(-5)m. If the electron has a ground (original) state...
An electron absorbs a photon of wavelength 2.6*10^(-5)m. If the electron has a ground (original) state (level) of n=3, to which level is the electron promoted?
Given the existence of two-dimensional array double A[M][N], where M and N are #defined as the...
Given the existence of two-dimensional array double A[M][N], where M and N are #defined as the number of rows and columns, respectively, define a function named sqabsmax that accepts array A as an argument (i.e. input parameter) and returns the square of the maximum absolute value element in A. Use the const qualifier if appropriate. Only show the function definition. Do not write an entire program with a main function. Just write the definition for function sqabsmax. in C
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT