You illuminate a surface with 257 nm photons and find that the maximum kinetic energy of electrons emitted is 2.28 eV. What is the work function (binding energy) of the surface? Please give your answer in eV.

You illuminate a surface with 257 nm photons and find that the maximum kinetic energy of electrons emitted is 2.28 eV. What is the work function (binding energy) of the surface? Please give your answer in eV.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 58P: An electron in a box is in the ground state with energy 2.0 eV. (a) Find the width of the box. (b)...

See similar textbooks

Similar questions

solve plz
The electron interference pattern as shown was made by shooting electrons with 50 keV of kinetic energy through two slits spaced 1.0 mm apart. The fringes were recorded on a detector 1.0 m behind the slits.a. What was the speed of the electrons? (The speed is large enough to justify using relativity, but for simplicity do this as a nonrelativistic calculation.)b. Figure is greatly magnified. What was the actual spacing on the detector between adjacent bright fringes?
answer a, b and c... Q34
An electron is trapped in a is absorbed, the electron is in the n = 6 energy level. What was the wavelength of the absorbed photon? one-dimensional box that is 501 nm wide. Initially, it is in the n = 3 energy level but, after a photon wavelength: Eventually, the electron ends up in the ground state. As it does so, one or more photons are emitted during those transitions. Find the wavelengths of the least energetic and most energetic photons that might be emitted during all the possible transitions to the ground state. wavelength of least energetic photon: m wavelength of most energetic photon: m m
An electron is trapped in a one-dimensional box that is 501 nm wide. Initially, it is in the n = 3 energy level but, after a photon is absorbed, the electron is in the n = 6 energy level. What was the wavelength of the absorbed photon? wavelength: .0306 Eventually, the electron ends up in the ground state. As it does so, one or more photons are emitted during those transitions. Find the wavelengths of the least energetic and most energetic photons that might be emitted during all the possible transitions to the ground state. wavelength of least energetic photon: wavelength of most energetic photon: .0753 Incorrect .0709 m Incorrect m E
a. Conceptually, discuss the particle-wave duality of light. Discuss the implications of this in combination with the de Broglie (pronounced “de Broy”) equation. b. The electron of a hydrogen atom is usually no further than 1.0 Å from the proton. We can therefore say the upper limit of the radius of an isolated hydrogen atom is roughly 1.0 Å. How does the de Broglie wavelength of the electron compare to this radius? (The velocity of an electron in the first principal energy level is about 2.2 x 106 m/s). Explain why wave-particle duality is so important for quantum mechanics, yet not required in macroscopic systems that are well described by classical mechanics. c. Comment as to whether neutrons with velocity 4.14 x 103 m/s may be used to determine structures of molecules in a diffraction-based experiment. You may consider the relevant distance between atoms in molecules to be on the order of 1 Å.
l5.c Please provide a correct and well explanied solution for the following
As a harmonic oscillator undergoes a transition from the ground state to the first excited state, it absorbs a photon of wavelength = 5.83 micrometers. Determine the ground state energy of the harmonic oscillator in electron volts..
Consider the Bohr model of the doubly ionized lithium ion (3 protons) with a single electron. The ground state energy is -122.4 ev What is the kinetic energy for the electron in orbit? eV Write down the relationship between the kinetic energy K, the momentump and the mass m K= write your answer as a formula, e.g. z=x^4/3y Use these to find the de Broglie wavelength of the electron in this orbit: The de Broglie wavelength is nm If the electron is actually a standing wave, what radius does this suggest for the electron's orbit? ro = nm Assuming classical uniform circular motion for the electron in the Coulomb potential at the radius computed above, what is the total energy of the atom? The potential energy is Oze?/(4tte ro) Ze2/ (4πε ro) O-ze?/(8te ro) Oze/ (8πε r0) The kinetic energy is Οze2/ (4πε r0 ) Ο-Ze2/ (4πε r0) O-Ze2/(8ne r0) Οze2/ (8πε r0) The total energy is Oze2/ (4πε r ) O-Ze2/(4ne r0) O-Ze2/(8te r0) OZe2/ (8πε r0) Hence the total energy is ev
An electron is moving past the square well shown in Fig. . The electron has energy E = 3U0 . What is the ratio of the de Broglie wavelength of the electron in the region x 7 L to the wavelength for 0 6 x 6 L?
A photon passes through a horizontal slit of width 5 × 10-6 m. What uncertainty in the vertical position will this photon have as it emerges from the slit? What is the minimum uncertainty in the vertical momentum?
A student in a physics laboratory observes a hydrogen spectrum with a diffraction grating for the purpose of measuring the wavelengths of the emitted radiation, hr the spectrum, she observes a yellow line and finds its wavelength to be 589 nm. (a) Assuming that this is part of the Balmer series, determine the principal quantum number of the initial state, (b) What is unreasonable about this result? (c) Which assumptions are unreasonable 01 inconsistent?