Answered: For an electron in a one-dimensional… | bartleby

Related questions

Question

For an electron in a one-dimensional infinite potential well of width 1Å, calculate (i) the
separation between the two lowest energy levels; (ii) the frequency and wavelength of the photon coresponding
to a transītion between these two levels; and (ii) in what region of the electromagnetic spectrum is this
frequency / wavelength?

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Give an explanation why the measurement of energy for many-electron atoms is not accurately calculated using mathematical analytical methods, variation methods and perturbation methods !
Consider an electron with a (non-relativistic) kinetic energy of 1 eV. (i) What is the electron speed in m/s? What is the de Broglie wavelength of the electron? (ii) Consider a beam of 1 eV electrons incident on a pair of very thin slits, separated by a distance d, with an interference pattern seen on a screen 2 m beyond the slits. Find the value of d such that the position of the first off-center bright fringe of the pattern is located 0.5mm from the center of the pattern.
Calculate the energy seperation in joules, kilojoules per mole, electronvolts, and reciprocal centimeters between the levels (i) n=3 and n=1, (ii) n=7 and n=6 of an electron in a box of length 1.50 nm.
A hydrogen atom is initially in the n = 6 state. It drops to the n = 2 state, emitting a photon in the process. (a) What is the energy (in ev) of the emitted photon? Enter a number. ergy of a hydrogen atom related to the quantum number n? What is the atom's initial energy? Its final energy? From these values and conservation of energy, what is the photon's energy? ev (b) What is the frequency (in Hz) of the emitted photon? Hz (c) What is the wavelength (in um) of the emitted photon? um
Pls help ASAP
(b) (deBroglie wave length) Determine the deBroglie wavelength (formula: p=h/2) of a grain of dust with diameter 1um, density 1kg m-3 and speed 1cm s. Compare your result with the diameter of the dust grain and the diameter of an atom. Comment?
Discuss in detail (in words only) the Radial Wave Functions in Quantum Mechanics.
An electron is trapped in a square well with a width of 0.50 nm (comparable to a few atomic diameters).(a) Find the ground-level energy if the well is infinitely deep. (b) If the actual well depth is four timesthe ground-level energy found in part (a), find the energy levels. (c) If the atom makes a transition from a state with energy E 2 to a state with energy E1 by emitting a photon, find the wavelength of the photon. In what region of the electromagnetic spectrum does the photon lie? (d) If the electron is initially in its ground level and absorbs a photon, what is the minimum energy the photon must have to liberate the electron from the well? In what region of the spectrum does the photon lie?
(b) Sketch and write the mathematical expression of the wavefunction of an electron occupying the level n 6 in a 1ID infinite quantum well of width 3.5x10" m. (c) A radio station broadcasts on a frequency of 200 kHz by using a 200 kW transmitter. () Estimate the number of photons striking a 1 square metre acrial each second at a distance of 1000 km. (ii) What is the energy () and momentum (kg m/s) of the photons? (ii) What is the number of photons emitted in 2 second by the transmitter?
What is the cutting potential of the ejected electrons when shining a monochromatic light with a wavelength of 400 nm on a metal whose work function is 2.0 eV? What is approximately the maximum velocity of the ejected electrons? ( ) 1.1 V and 620 km/s ( ) 2.0 V and 840 km/s ( ) 5.1 V and 1330 m/s ( ) 3.1 V and 1040 km/s ( ) 5.1 V and 1330 km/s