Consider a hydrogen atom in a n=4 state. The (total) energy of an electron in this state is En= eV. Then this atom emits a photon and assumes a n=3 state. The (total) energy of an electron in this state is En= eV. Find the wavelength of the emitted photon 2= nm. Now, find the corresponding wavelength if this is an ion of an element with atomic number Z=17 containing a single electron (the charge is (Z-1)+). Az= nm.

Consider a hydrogen atom in a n=4 state. The (total) energy of an electron in this state is En= eV. Then this atom emits a photon and assumes a n=3 state. The (total) energy of an electron in this state is En= eV. Find the wavelength of the emitted photon 2= nm. Now, find the corresponding wavelength if this is an ion of an element with atomic number Z=17 containing a single electron (the charge is (Z-1)+). Az= nm.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter29: Atomic Physics

Section: Chapter Questions

Problem 4P

See similar textbooks

Similar questions

Suppose an electron in a hydrogen atom makes a transition from the (n+1) th orbit to the nth orbit. Is the wavelength of the emitted photon longer for larger values of n, or for smaller values of n?
What is the maximum kinetic energy of an electron such that a collision between the electron and a stationary hydrogen atom in its ground state is definitely elastic?
What are the (a) energy, (b) magnitude of the momentum, and (c) wavelength of the photon emitted when a hydrogen atom undergoes a transition from a state with n = 3 to a state with n = 1?
Consider the electron of a Li2+ ion that undergoes a transition from a higher energy state n to its adjacent lower energy state n – 1 (e.g. n = 2→1, 3→2, 4→3, etc) and emits a photon. Suppose the emitted photon is used to strike the surface of potassium, which has a threshold frequency of 5.464 × 10^14 s–1.a) Whatisthemaximuminitialquantumnumber,n, that is required in order to emit a photon with high enough energy to generate a photocurrent from the metal surface?b) Usingthenvaluesolvedinpart(a), calculate the maximum speed of the photoelectron from potassium. If you couldn’t solve for n in part (a), use n = 3.
Consider the electron in a hydrogen atom that receives an incoming photon. If the electron began at an energy level of n = 3, at which of the following energy levels (n) could it exist upon absorbing the photon? A) n = 5 B) n = 1 C) n = 1.5 D) n = 6.5 E) Either n = 5 or n = 6.5
An isolated atom of a certain element emits light of wavelength λm1 when the atom falls from its state with quantum number m into its ground state of quantum number 1. The atom emits a photon of wavelength λn1 when the atom falls from its state with quantum number n into its ground state. (a) Find the wavelength of the light radiated when the atom makes a transition from the m state to the n state. (b) Show that kmn = |km1 - kn1|, where kij = 2π/λij is the wave number of the photon. This problem exemplifies the Ritz combination principle, an empirical rule formulated in 1908.
A hydrogen atom undergoes a transition from an excited state to the ground state by emitting a photon. The energy difference between the excited state and the ground state is 2.04 eV. The wavelength of the emitted photon is measured to be 656 nm. Calculate the frequency and the energy of the emitted photon in Joules. (Note: You may use the following conversions: 1 eV = 1.6 x 10^-19 J and the speed of light, c = 3.0 x 10^8 m/s) Give your answer to the nearest whole number.
Find the wavelength of the photon emitted when hydrogen makes a transition from (a) n= 8→5 (b) n= 10→1 and (c) n= 6→1
Electrically excited mercury atoms have particularly strong emission of 4.9 eV photons, corresponding to a transition of one of the atom’s electrons from a higher energy state to a lower. Mercury vapor absorbs light of this wavelength as well; the energy of the photon moves an electron from the lower state to the higher.It’s also possible to produce an excitation through other means. If an electron with a kinetic energy of 4.9 eV strikes a mercury atom, it can transfer energy, moving an electron in the mercury atom from the lower level to the higher. The electron loses kinetic energy in the process; this is an inelastic collision. Electrons with kinetic energies lower than this transition energy undergo elastic collisions, leaving their kinetic energy unchanged.This was the idea behind the Franck-Hertz experiment, a classic experiment of early-20th-century physics. The basic setup is illustrated in Figure P28.88a. A tube is filled with mercury vapor. A heated electrode emits…
Electrically excited mercury atoms have particularly strong emission of 4.9 eV photons, corresponding to a transition of one of the atom’s electrons from a higher energy state to a lower. Mercury vapor absorbs light of this wavelength as well; the energy of the photon moves an electron from the lower state to the higher.It’s also possible to produce an excitation through other means. If an electron with a kinetic energy of 4.9 eV strikes a mercury atom, it can transfer energy, moving an electron in the mercury atom from the lower level to the higher. The electron loses kinetic energy in the process; this is an inelastic collision. Electrons with kinetic energies lower than this transition energy undergo elastic collisions, leaving their kinetic energy unchanged.This was the idea behind the Franck-Hertz experiment, a classic experiment of early-20th-century physics. The basic setup is illustrated in Figure P28.88a. A tube is filled with mercury vapor. A heated electrode emits…
(prt 1)A photon emitted as a hydrogen atom undergoes a transition from the n = 4 state to then = 2 state.Find the energy of the emitted photon. Theenergy of the ground state is 13.6 eV.Answer in units of eV. (prt 2)Find the wavelength of the emitted photon.The speed of light is 3 × 108 m/s and Planck’sconstant is 6.626 × 10−34 J · s.Answer in units of nm. (prt 3)Find the frequency of the emitted photon.Answer in units of Hz.